Análisis en frecuencia de Señales.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "40114122",
   "metadata": {},
   "source": [
    "# $$Análisis\\:en\\:Frecuencia\\:de\\:Señales$$ #"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "844d3bbf",
   "metadata": {},
   "source": [
    "![Image](Imagenes/inicio.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e5862d5",
   "metadata": {},
   "source": [
    "Trabajaremos las aproximaciones de las transformadas usando **DFT**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ca77a12",
   "metadata": {},
   "source": [
    "## $1-Real\\:Y\\:Complejo\\:DFT$ ## "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44ff4638",
   "metadata": {},
   "source": [
    "La transformada, toma números reales y dá 2 conjuntos de puntos en el dominio de la frecuencia.\n",
    "* 1--> representa coeficientes del coseno (parte real).\n",
    "* 2--> representa coeficientes del seno (parte imaginaria).  \n",
    "Además DFT compleja representa frecuencias **positiva y negativa.**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71676eb2",
   "metadata": {},
   "source": [
    "### $1.1-Real\\:DFT$ ###"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8613d4e6",
   "metadata": {},
   "source": [
    "forma N puntos de la onda en el dominio del tiempo (discretizando) y agrupando en N/2+1 para los coeficientes del coseno y seno respectivamente.  \n",
    "$$x_{re}[k]=\\frac{2}{N}\\sum_{n=0}^{N-1}x[n]\\cos(\\frac{2\\pi kn}{N})$$\n",
    "$$x_{im}[k]=-\\frac{2}{N}\\sum_{n=0}^{N-1}x[n]\\sin(\\frac{2\\pi kn}{N})$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91592bdb",
   "metadata": {},
   "source": [
    "**Nota:** en el domonio del tiempo **n va de 0-->N**  \n",
    "en el dominio de la frecuencia **k va de 0-->N/2.**  \n",
    "$$x[n]=\\sum_{n=0}^{N/2}x_{re}[K]\\cos(\\frac{2\\pi kn}{N})-x_{im}[K]\\sin(\\frac{2\\pi kn}{N})$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6164addd",
   "metadata": {},
   "source": [
    "![Image](Imagenes/real-DFT.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0ec2192",
   "metadata": {},
   "source": [
    "### $1.2-Complejo\\:DFT$ ###  \n",
    "toma N puntos para los valores complejos de la onda (discretizando) y produciendo arreglos en el dominio de frecuencia con longitud N.  \n",
    "$$X[K]=\\frac{1}{N}\\sum_{n=0}^{N-1}x[n]e^{-j2\\pi kn/N}$$  \n",
    "* X[0]=el valor DC.\n",
    "* los primeros N/2 son frecuencias positivos.\n",
    "* los primeros N/2-1 son frecuencias negativas."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45430c82",
   "metadata": {},
   "source": [
    "la reconstrucción de la señal x[n] de muestras en el dominio de frecuencias.  \n",
    "$$x[n]=\\sum_{k=0}^{N-1}X[K]e^{j2\\pi kn/N}$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b2a7def",
   "metadata": {},
   "source": [
    "![Image](Imagenes/complejo-DFT.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95184624",
   "metadata": {},
   "source": [
    "La interpretación en la salida:  \n",
    "![Image](Imagenes/salida.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb3aa023",
   "metadata": {},
   "source": [
    "## $2-FFT$ ##  \n",
    "Es un algoritmo publicado en 1965 por J.W.Cololey and J.W.Tuckey para ser eficiente el cálculo de **DFT**.  \n",
    "Esto reduce significativamente el tiempo de cálculo. Permite calcular más rapido los coeficientes de **DFT**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c5f876a",
   "metadata": {},
   "source": [
    "![Image](Imagenes/calculo-DFT.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f6460ef",
   "metadata": {},
   "source": [
    "lo que vemos es un calculo tradicional en DFT, pero si aplicamos el algoritmo notamos seria algo así:\n",
    "![Image](Imagenes/FFT.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f4a0992",
   "metadata": {},
   "source": [
    "**NOTA:**  \n",
    "* se recomienda que N sea multiplo de 2.\n",
    "* para saber la cantidad de muestras tomadas.  \n",
    "$$muestras=(t_f)(f_s)$$\n",
    "$t_f=tiempo\\:de\\:duración\\:de\\:la\\:señal$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "98558eb7",
   "metadata": {},
   "source": [
    "para saber el espaciado o resolución de la frecuencia (es importante tener este parámetro para definer el eje de frecuencias), se calcula:\n",
    "$$\\vartriangle f=\\frac{f_s}{N}$$\n",
    "![Image](Imagenes/salida.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae6e217e",
   "metadata": {},
   "source": [
    "## $2.1-FFTSHIFT$ ###\n",
    "Se encarga de intercambiar el rango de frecuencias desde **N/2 a N-1** al lado izquiero y **0 a N/2-1** al lado derecho.\n",
    "![Image](Imagenes/FFTSHIFT.PNG)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b428f5dd",
   "metadata": {},
   "source": [
    "sin embargo, según a la cantidad de puntos:\n",
    "* si N es par:\n",
    "$$f=\\vartriangle{f}x\\:i=\\frac{f_s}{N}x\\:i,\\:donde\\:i=[-\\frac{N}{2},...,-1,0,1,...,\\frac{N}{2}-1]$$\n",
    "* si N es impar:\n",
    "$$f=\\vartriangle{f}x\\:i=\\frac{f_s}{N}x\\:i,\\:donde\\:i=[-\\frac{N+1}{2},...,-1,0,1,...,\\frac{N+1}{2}-1]$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "af391965",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft, ifft, fftshift, fftfreq\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c405c82c",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e9445ce2",
   "metadata": {},
   "outputs": [
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       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fc=40 #Frecuencia de la portadora\n",
    "fs=40*fc #frecuencia de muestreo\n",
    "tf=2 #tiempo de visualización \n",
    "tiempo=np.arange(0,tf,1/fs)\n",
    "señal=np.cos(2*np.pi*fc*tiempo) #señal de entrada\n",
    "\n",
    "N=2**10 #Número de puntos\n",
    "df=fs/N #resolución de frecuencia\n",
    "frec_1=np.arange(-N/2,N/2)*df #eje de frecuencias (método 1)\n",
    "frec_2=fftfreq(N,1/fs) #me va a definir el eje de frecuencias (método 2).\n",
    "frec_2=fftshift(frec_2)\n",
    "\n",
    "fourier=fft(señal,N)*(1/N)\n",
    "fourier=fftshift(fourier)\n",
    "\n",
    "plt.figure(figsize=(8,7))\n",
    "plt.subplot(2,1,1)\n",
    "plt.title(\"Transformada Rapida de Fourier (FFT)\")\n",
    "plt.plot(frec_1, abs(fourier), color='r', label=f'$método\\:1$') # usando delta(f)\n",
    "plt.xlabel(\"$frecuencia\\:(Hz)$\")\n",
    "plt.ylabel(\"$|X(K)|$\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(frec_2, abs(fourier), color='b', label=f'$método\\:2$') # usado f=delta(f)*i, i=intervalo de cantidad de puntos\n",
    "plt.xlabel(\"$frecuencia\\:(Hz)$\")\n",
    "plt.ylabel(\"$|X(f)|$\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77b98971",
   "metadata": {},
   "source": [
    "![Image](https://slideplayer.es/slide/3572142/12/images/30/Transformada+y+Espectros+de+Fourier.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "56b8e561",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rectangular(x):\n",
    "    y=(x>-0.5)*(x<0.5)*1+0.5*(x==0.5)+0.5*(x==-0.5)\n",
    "    return y\n",
    "\n",
    "fs=10 #Frecuencia de muestreo para transformada de fourier\n",
    "Fs=2000 #frecuencia de muestreo para la señal en el tiempo\n",
    "T=0.4 #Ancho del pulso en seg\n",
    "tiempo=np.arange(-0.7,0.7,1/Fs) #el eje de tiempo\n",
    "\n",
    "señal=rectangular(tiempo/T)\n",
    "\n",
    "N=2**10 #Número de puntos\n",
    "df=fs/N #resolución de freecuencia\n",
    "#frec_1=np.arange(-N/2,N/2)*df #eje de frecuencias (método 1)\n",
    "frec_2=fftfreq(N, d=1/fs) #me va a definir el eje de frecuencias (método 2).\n",
    "frec_2=fftshift(frec_2)\n",
    "\n",
    "fourier=fft(señal,N)*(1/N)\n",
    "fourier=fftshift(fourier)\n",
    "\n",
    "plt.figure(figsize=(9,6))\n",
    "plt.subplot(2,1,1)\n",
    "plt.title(f'$Pulso\\:Rectangular\\:T=${T}s')\n",
    "plt.plot(tiempo, señal, color='b')\n",
    "plt.xlabel(\"$tiempo$\")\n",
    "plt.ylabel(\"$amplitud$\")\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(frec_2, abs(fourier), color='black', label='Trans.Fourier')\n",
    "plt.xlabel(\"$frecuencia$\")\n",
    "plt.ylabel(\"$amplitud$\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fcfb202",
   "metadata": {},
   "source": [
    "**NOTA:** la frecuencia de muestreo debe ser para cada señal que se representa en su dominio respectivamente.\n",
    "* La frecuencia de muestreo y la cantidad de puntos afectan en la salida, se debe ajustar a realizar una cantidad de puntos lo suficientemente aceptable para visualizar en la gráfica. Lo que se busca es que la frecuencia sea lo más cercano posible (menor).\n",
    "* fs viene hacer los extremos del eje de la frecuencia."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aca52787",
   "metadata": {},
   "source": [
    "### $$Vamos\\:a\\:comprobar\\:la\\:teoría\\:con\\:el\\:algoritmo\\:computacional$$ ###\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b915681",
   "metadata": {},
   "source": [
    "$$f(t)=te^{-t}$$\n",
    "$$F(f)=\\frac{1}{(1+i\\omega)^2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ad365107",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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width=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs=3 #frecuencia de muestreo de la transformada de fourier\n",
    "Fs=100 #frecuencia de muestreo de la señal en el dominio del tiempo\n",
    "N=2**10 #cantidad de puntos\n",
    "df=fs/N #resolución de la frecuencia\n",
    "tiempo=np.arange(0,8,1/Fs)\n",
    "funcion=tiempo*np.exp(-tiempo) #funcion en el dominio del tiempo\n",
    "plt.figure(figsize=(9,6))\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(tiempo, funcion, color='black', label='f(t)')\n",
    "plt.xlabel('$tiempo$')\n",
    "plt.ylabel('$amplitud$')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "\n",
    "#transformada rapida de fourier\n",
    "salida=fft(funcion,N)*(1/N)\n",
    "salida=fftshift(salida)\n",
    "eje_fre=np.arange(-N/2,N/2)*df\n",
    "\n",
    "frec_1=np.arange(-2,2,0.002)\n",
    "T_orig=1/(1+2*np.pi*frec_1*1j)**2\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(frec_1,abs(T_orig), 'b')\n",
    "plt.plot(eje_fre,abs(salida), 'rx')\n",
    "plt.xlabel('$frecuencia$')\n",
    "plt.ylabel('$amplitud$')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}