From acbd65f3a3cc99a8ec3f7e32f3b99599496f5af8 Mon Sep 17 00:00:00 2001 From: Xavier Serra Date: Thu, 6 Mar 2014 14:30:33 +0100 Subject: [PATCH] changes to lectures --- AUTHORS | 2 +- README.md | 6 +- lectures/1-Introduction/Basic-mathematics.odp | Bin 885900 -> 892636 bytes lectures/1-Introduction/Intro-to-DSP.odp | Bin 963306 -> 950038 bytes lectures/4-STFT/STFT-2.odp | Bin 2030245 -> 2011389 bytes lectures/6-Harmonic-model/Harmonic-model.odp | Bin 1145480 -> 1151062 bytes .../Sinusoidal-plus-residual-model.odp | Bin 533361 -> 521000 bytes .../Stochastic-model.odp | Bin 351922 -> 987746 bytes .../plots-code/LPC.png | Bin 0 -> 103757 bytes .../plots-code/LPC.py | 41 ++++++ .../plots-code/envelope-approx.png | Bin 0 -> 91545 bytes .../plots-code/envelope-approx.py | 60 ++++++++ .../plots-code/stochasticModelAnalSynth.png | Bin 0 -> 378191 bytes .../plots-code/stochasticModelAnalSynth.py | 50 +++++++ .../plots-code/stochasticModelFrame.png | Bin 192445 -> 224089 bytes .../plots-code/stochasticModelFrame.py | 63 ++++----- .../plots-code/stochasticSynthesisFrame.png | Bin 107095 -> 122465 bytes .../plots-code/stochasticSynthesisFrame.py | 51 +++---- software/models/hprModel.py | 94 ++++++------- software/models/hprModelAnal.py | 129 ++++++++++++++++++ software/models/hprModelSynth.py | 72 ++++++++++ software/models/hpsModel.py | 8 +- software/models/hpsModelAnal.py | 2 +- software/models/sprModel.py | 39 +++--- software/models/stochasticModel.py | 26 ++-- software/models/stochasticModelAnal.py | 71 ++++++++++ 26 files changed, 540 insertions(+), 174 deletions(-) create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/LPC.png create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/LPC.py create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/envelope-approx.png create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/envelope-approx.py create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelAnalSynth.png create mode 100644 lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelAnalSynth.py create mode 100644 software/models/hprModelAnal.py create mode 100644 software/models/hprModelSynth.py create mode 100644 software/models/stochasticModelAnal.py diff --git a/AUTHORS b/AUTHORS index f8b65508..aee57660 100644 --- a/AUTHORS +++ b/AUTHORS @@ -1,3 +1,3 @@ -FabiĆ  Serra Arrizabalaga Xavier Serra +FabiĆ  Serra Arrizabalaga Sankalp Gulati diff --git a/README.md b/README.md index bdbb1680..b8bd9193 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ sms-tools ========= -

Spectral modeling analysis and synthesis tools written in python and C for sound and music applications, plus some complementary material.

+

Spectral modeling analysis and synthesis tools written in python and C for sound and music applications, plus complementary teaching material.

In order to use all the software you have to install version 2.7 of python and the following modules: iPython, Matplotlib, Numpy, Scipy, PyAudio, PySide, Cython. Some of the code also requires to install the Essentia library.

@@ -11,9 +11,9 @@ sms-tools

There are examples of analysis/transformation/synthesis in the examples directory. All the sounds used in the examples are in the sounds directory.

-

In order to use the C functions, which will run most the code faster, you need to compile basicFunctions_C. Once Cython is installed, in the Terminal go to the directory software/utilFunctions_C and write python compileModule.py build_ext --inplace (don't bother if it appears a warning)

+

In order to use the C functions, which will run most the code faster, you need to compile basicFunctions_C. Once Cython is installed, in the Terminal go to the directory software/utilFunctions_C and write python compileModule.py build_ext --inplace

-

All this code is used in several classes that I teach. The slides and demo code I use in class is available in the lectures directory.

+

All this code is used in several classes that I teach. The slides and demo code used in class is available in the lectures directory.

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+import essentia.standard as ess + +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/utilFunctions/')) +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/models/')) +import waveIO as WIO + + +lpc = ess.LPC(order=14) +N= 512 +(fs, x) = WIO.wavread('../../../sounds/soprano-E4.wav') +first = 20000 +last = first+N +x1 = x[first:last] +X = fft(hamming(N)*x1) +mX = 20 * np.log10(abs(X[:N/2])) + +coeff = lpc(x1) +Y = fft(coeff[0], N) +mY = 20 * np.log10(abs(Y[:N/2])) + + +plt.figure(1) +plt.subplot(2,1,1) +plt.plot(np.arange(first, last)/float(fs), x[first:last], 'b') +plt.axis([first/float(fs), last/float(fs), min(x[first:last]), max(x[first:last])]) +plt.title('x (soprano-E4.wav)') + +plt.subplot(2,1,2) +plt.plot(np.arange(0, fs/2.0, fs/float(N)), mX-max(mX), 'r', label="mX") +plt.plot(np.arange(0, fs/2.0, fs/float(N)), -mY-max(-mY)-3, 'k', label="mY") +plt.legend() +plt.axis([0, fs/2, -60, 3]) +plt.title('magnitude spectrum and LPC approximation') + +plt.show() diff --git a/lectures/7-Sinusoidal-plus-residual-model/plots-code/envelope-approx.png b/lectures/7-Sinusoidal-plus-residual-model/plots-code/envelope-approx.png new file mode 100644 index 0000000000000000000000000000000000000000..39f3c9ef10f3b767d0cfbb605f995a7f6eca754c GIT binary patch literal 91545 zcmd43by!sG_b!f!2?iyls2CuiQql_2(j_f2OxSl|~ga1GILQ2zygoNCH`0r4vNQxN=$rTdm z$B$GUKTi)h*s2=s)-1F{pS$9Hf!~bFEdCvr*_VVLGND(M#lObCyP8>&;fX1kQc%+A z4sHDu?|I_+!yrov#cxF=L9H(54j;OHGI3z&a`$_$>(@gf>z@4C;lGKWvS{HA8Kqy# z9l|@EY3GtV1h)alEiQD*>HUu+z5=2=`yanad!hC}d4`;Tr}=l>JdZv2k^EJ}k^S#J zKdvP{CL9mm2c6yj^x^^&-TtRP*Z*I+Am%iKfc>YYUmm?WRy>ydx6n<=w^foIODNuU zWNND9n|ChSULqlhJF%c2PeSsi#DK;pMb;DT*w?~Ssn~t@Om+tRwMgTn0yXi$M#lmK zW))GWOcu5D(Me_NBK3C#?mL@TGmnyxI3D@;$c}6xA|jm`8ZGTc4?d*9HTxYS*ug}u zOZOF6sO;_TsAXw!hq9>23=a=GkA9S-xO_QwL~l#A_``=Y<(pF(>Dq-DnQ->3`S}++ zE7=}uT3T9Ni4&hD4?HJwCQ@Sd8_c=LNhTmRJ7x$xLQAz%A 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b/lectures/7-Sinusoidal-plus-residual-model/plots-code/envelope-approx.py @@ -0,0 +1,60 @@ +import numpy as np +import matplotlib.pyplot as plt +from scipy.signal import hamming, hanning, triang, blackmanharris, resample +import math +import sys, os, time +from scipy.fftpack import fft, ifft + +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/utilFunctions/')) +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/models/')) +import waveIO as WIO +import dftAnal + +def stochasticModelFrame(x, w, N, stocf) : + # x: input array sound, w: analysis window, N: FFT size, + # stocf: decimation factor of mag spectrum for stochastic analysis + hN = N/2 # size of positive spectrum + hM = (w.size)/2 # half analysis window size + pin = hM # initialize sound pointer in middle of analysis window + fftbuffer = np.zeros(N) # initialize buffer for FFT + yw = np.zeros(w.size) # initialize output sound frame + w = w / sum(w) # normalize analysis window + #-----analysis----- + xw = x[pin-hM:pin+hM] * w # window the input sound + X = fft(xw) # compute FFT + mX = 20 * np.log10( abs(X[:hN]) ) # magnitude spectrum of positive frequencies + mXenv = resample(np.maximum(-200, mX), mX.size*stocf) # decimate the mag spectrum + pX = np.angle(X[:hN]) + #-----synthesis----- + mY = resample(mXenv, hN) # interpolate to original size + pY = 2*np.pi*np.random.rand(hN) # generate phase random values + Y = np.zeros(N, dtype = complex) + Y[:hN] = 10**(mY/20) * np.exp(1j*pY) # generate positive freq. + Y[hN+1:] = 10**(mY[:0:-1]/20) * np.exp(-1j*pY[:0:-1]) # generate negative freq. + fftbuffer = np.real( ifft(Y) ) # inverse FFT + y = fftbuffer*N/2 + return mX, pX, mY, pY, y + + +# example call of stochasticModel function +if __name__ == '__main__': + (fs, x) = WIO.wavread('../../../sounds/ocean.wav') + w = np.hanning(512) + N = 512 + stocf = .1 + envSize = (N * stocf) // 2 + maxFreq = 10000.0 + lastbin = N*maxFreq/fs + first = 4000 + last = first+w.size + mX, pX = dftAnal.dftAnal(x[first:last], w, N) + mXenv = resample(np.maximum(-200, mX), envSize) + mY = resample(mXenv, N/2) + plt.figure(1) + plt.plot(float(fs)*np.arange(0, N/2)/N, mX, 'r', label=r'$a$') + plt.plot(float(fs/2.0)*np.arange(0, envSize)/envSize, mXenv, color='k', label=r'$\tilde a$') + plt.plot(float(fs)*np.arange(0, N/2)/N, mY, 'g', label=r'$b$') + plt.legend() + plt.axis([0, maxFreq, -80, max(mX)+3]) + plt.title('envelope approximation') + plt.show() diff --git a/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelAnalSynth.png b/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelAnalSynth.png new file mode 100644 index 0000000000000000000000000000000000000000..1852253c01d8529fbce01ab39abae91dc20622c5 GIT binary patch literal 378191 zcmd?RgF7T4bsh^2uOE#cXthE zjqmrK^E>$u9Ii{bfSG4M&t7%k_gZ@bo+?RSy+UyXfk0f9m63RkKwupq5SX=iIPe>i z+!FW&;*y=X>q0Bho3LMmeH_7AP8Tf|6yc^rkf)WbO>3A$1j`{*2bNjZ>o;s zPEA_fcHYtkw}iUi 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256 +stocf = .1 +mXenv = stochasticModelAnal.stochasticModelAnal(x, w, N, H, stocf) +y = stochasticModel.stochasticModel(x, w, N, H, stocf) +mX, pX = stftAnal.stftAnal(x, fs, w, N, H) + + +plt.figure(1) +plt.subplot(411) +plt.plot(np.arange(x.size)/float(fs), x,'b') +plt.title('input sound x=wavread(ocean.wav)') +plt.axis([0,x.size/float(fs),min(x),max(x)]) + +plt.subplot(412) +numFrames = int(mX[:,0].size) +frmTime = H*np.arange(numFrames)/float(fs) +binFreq = np.arange(N/2)*float(fs)/N +plt.pcolormesh(frmTime, binFreq, np.transpose(mX)) +plt.title('magnitude spectrogram; M=512, N=512, H=256') +plt.autoscale(tight=True) + +plt.subplot(413) +numFrames = int(mXenv[:,0].size) +frmTime = H*np.arange(numFrames)/float(fs) +binFreq = np.arange(stocf*N/2)*float(fs)/(stocf*N) +plt.pcolormesh(frmTime, binFreq, np.transpose(mXenv)) +plt.title('stochastic approximation; stocf=.1') +plt.autoscale(tight=True) + +plt.subplot(414) +plt.plot(np.arange(x.size)/float(fs), y,'b') +plt.title('y') 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a/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelFrame.py +++ b/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticModelFrame.py @@ -1,38 +1,23 @@ import numpy as np import matplotlib.pyplot as plt -from scipy.signal import hamming, hanning, resample +from scipy.signal import hamming, hanning, triang, blackmanharris, resample +import math +import sys, os, time from scipy.fftpack import fft, ifft -import time -import sys, os +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/utilFunctions/')) +sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../software/models/')) +import waveIO as WIO -sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../../code/basicFunctions/')) -sys.path.append(os.path.join(os.path.dirname(os.path.realpath(__file__)), '../../../../code/basicFunctions_C/')) - -import smsWavplayer as wp - -try: - import basicFunctions_C as GS -except ImportError: - import smsGenSpecSines as GS - print "%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%" - print "NOTE: Cython modules for some functions were not imported, the processing will be slow" - print "%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%" - - -def stochasticModel(x, w, N, stocf) : +def stochasticModelFrame(x, w, N, stocf) : # x: input array sound, w: analysis window, N: FFT size, # stocf: decimation factor of mag spectrum for stochastic analysis - # y: output sound - hN = N/2 # size of positive spectrum hM = (w.size)/2 # half analysis window size pin = hM # initialize sound pointer in middle of analysis window fftbuffer = np.zeros(N) # initialize buffer for FFT yw = np.zeros(w.size) # initialize output sound frame w = w / sum(w) # normalize analysis window - ws = hanning(w.size)*2 # synthesis window - #-----analysis----- xw = x[pin-hM:pin+hM] * w # window the input sound X = fft(xw) # compute FFT @@ -41,20 +26,18 @@ def stochasticModel(x, w, N, stocf) : pX = np.angle(X[:hN]) #-----synthesis----- mY = resample(mXenv, hN) # interpolate to original size - pY = 2*np.pi*np.random.rand(hN) # generate phase random values + pY = 2*np.pi*np.random.rand(hN) # generate phase random values Y = np.zeros(N, dtype = complex) Y[:hN] = 10**(mY/20) * np.exp(1j*pY) # generate positive freq. Y[hN+1:] = 10**(mY[:0:-1]/20) * np.exp(-1j*pY[:0:-1]) # generate negative freq. - fftbuffer = np.real( ifft(Y) ) # inverse FFT - y = ws*fftbuffer*N/2 # overlap-add - + y = fftbuffer*N/2 return mX, pX, mY, pY, y # example call of stochasticModel function if __name__ == '__main__': - (fs, x) = wp.wavread('../../../../sounds/ocean.wav') + (fs, x) = WIO.wavread('../../../sounds/ocean.wav') w = np.hanning(1024) N = 1024 stocf = 0.2 @@ -62,25 +45,27 @@ def stochasticModel(x, w, N, stocf) : lastbin = N*maxFreq/fs first = 1000 last = first+w.size - mX, pX, mY, pY, y = stochasticModel(x[first:last], w, N, stocf) + mX, pX, mY, pY, y = stochasticModelFrame(x[first:last], w, N, stocf) plt.figure(1) plt.subplot(4,1,1) - plt.plot(np.arange(first, last)/float(fs), x[first:last]*w) - plt.axis([first/float(fs), last/float(fs), min(x[first:last]*w), max(x[first:last]*w)]) - plt.title('xw') + plt.plot(np.arange(first, last)/float(fs), x[first:last]) + plt.axis([first/float(fs), last/float(fs), min(x[first:last]), max(x[first:last])]) + plt.title('x (ocean.wav)') plt.subplot(4,1,2) - plt.plot(np.arange(0, fs/2.0, fs/float(N)), mX, 'b') - plt.plot(np.arange(0, fs/2.0, fs/float(N)), mY, 'r') + plt.plot(np.arange(0, fs/2.0, fs/float(N)), mX, 'r', label="mX") + plt.plot(np.arange(0, fs/2.0, fs/float(N)), mY, 'k', label="mY") + plt.legend() plt.axis([0, maxFreq, -80, max(mX)+3]) - plt.title('mX (blue), mY (red)') + plt.title('magnitude spectrum and approximation') plt.subplot(4,1,3) - plt.plot(np.arange(0, fs/2.0, fs/float(N)), pX, 'b') - plt.plot(np.arange(0, fs/2.0, fs/float(N)), pY-np.pi, 'r') + plt.plot(np.arange(0, fs/2.0, fs/float(N)), pX, 'c', label="pX") + plt.plot(np.arange(0, fs/2.0, fs/float(N)), pY-np.pi, 'k', label="pY") plt.axis([0, maxFreq, -np.pi, np.pi]) - plt.title('pX (blue), pY (red)') + plt.legend() + plt.title('phase spectrum and random') plt.subplot(4,1,4) - plt.plot(np.arange(first, last)/float(fs), y) + plt.plot(np.arange(first, last)/float(fs), y, 'b') plt.axis([first/float(fs), last/float(fs), min(y), max(y)]) - plt.title('yw') + plt.title('y') plt.show() diff --git a/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticSynthesisFrame.png b/lectures/7-Sinusoidal-plus-residual-model/plots-code/stochasticSynthesisFrame.png index 50cbd0960a8b9a59af12fa6a5fa0e31068e07fbc..1a7ebc1c369cdae4ebc96ac51bd03eee3dcd4855 100644 GIT binary patch literal 122465 zcmd43WmHvd*fqN8Zj=rIMQKDzQUs9_5s+>Wq(o3UMY;qf6lv)O=~P;fQo0+YyWw10 zpZ7iI`*Ftkdl=6%6xpo3)_q?w=e*{piOlB+1S3LD`ktEe=d}qZP4b}= ztgTHBM)k%wu_)jbm{mei3gr(*@#PJ=?%0B> zNuolwkjfMjSm(nO*u5Fy;M7#D(AT(;I@PngcK@?5-|oi7L-(c6yYzA~W>nJuzP_aP zIwAi1yT5n|jXM2#E{Lsg&B+q-10>OG^PiqS^1KJWhW8E8~PP`=N58s83y;nE25& znn!??v>MBePHAbgI2O5gEOItFuC8~2h{8A5L_A3fDP+g^tow72O4@^!wUd#Nku04GuF$Zsm&?7^ z@@)ti#PLl`Onw*W(P(LDArN?Yc#4UlRDFGY4<9`m)T))1F7$=vR-w9j^{T(aQunux z4!JU=k6&-Qr1!@}M*7HvT)oD~i0JO_J|SGnw_h9P9k2JGQO!{N_T3MU*Q6Ccl#*A< zd`M7GQ1;cUJ8=7Ne0{f%woS^;;q53zoq6D&Qd3h6&CJqA1ucKy)YQ^4Y7M2j8xkA1 z{F+DW1`}HoEiLWi%tv&TG&H&89VK}O@Ao#9&bgiz=mwehBpPi^e?va7!}-Z;gm+q6 z+N81b;e->f$H}WN>FGw}l`kz%rS9L4jEV8TrJ9ipw`+OI!NJj+tHEtOR!%Tfp!dtH z9Uc-HQ+1I$L^Acx+e{}1>ml;dY~Mylsp&)$P!N?Krvm;&41}_>vT^b8a}!Qe zEf?pf{M}CQ#$BKI@g^rH?d=F>cR^5jmz z_Ri;pk9_8{2~LwJh&=r|YFt05{gdrB2L6JyFsT&D8priJe9=V{_F0$KLxWi3hBFk{#41==2wj4LHYRcqjrzi`Y3-W6(8ni?Ji+g zSJ&ezd$YaeJ~W6l?J)_j3tEL34xfq&L2GMkL%5OAGAm{l7IX?OT?C@CvNCJdYN#M# z)G38?@)i4@Ce?LFJKf7KDoASbYr;R>nfk8p{N}v5SeEuAVm6cWTvk*yDRTaW} zcv$o3=%^8v<_eoy>34cA!SA@UKAE{^YdR(&3q(-{C#tCEIvLy zcuT|i_Q<2v!iGDeOG&4mM_Wd(mU~gk%gc+(%O5OtC%l|(#tAdoX&4&F)kuRhEGjDU zMyBA|*8TBX7uC5q*b%9e$I~OF=5hR1SN{y=

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