DiagExtract.m

% function [d2,d3, ...,d10]=DiagExtract(h2,h3,...,h10)
%
% This function puts NaN values on non-diagonal points of h2 whatever the 
% dimension of the array is (but less than 11), if it is provided as input 
% alone.
% If a list of crescent order arrays/kernels is provided as argument the 
% output will be the corresponding resulting array list with diagonal points
% marked as NaN.
%
% If you want to contact the authors, please write to s.orcioni@univpm.it,
% or Simone Orcioni, DII, Università Politecnica delle Marche,
% via Brecce Bianche, 12 - 60131 Ancona, Italy.
% If you are using this program for a scientific work, we encourage you to cite
% the following paper (the file cite.bib, containing the reference in bibtex
% format is also provided):
%
% Simone Orcioni. Improving the approximation ability of Volterra series 
% identified with a cross-correlation method. Nonlinear Dynamics, 2014.
%
%Orcioni, S., Terenzi, A., Cecchi, S., Piazza, F., & Carini, A. (2018). 
% Identification of Volterra Models of Tube Audio Devices using 
% Multiple-Variance Method. Journal of the Audio Engineering Society, 
% 66(10), 823–838. https://doi.org/10.17743/jaes.2018.0046

% Copyright (C) 2006 Massimiliano Pirani
% Copyright (C) 2014 Simone Orcioni
%
%  This program is free software; you can redistribute it and/or modify
%  it under the terms of the GNU General Public License as published by
%  the Free Software Foundation; either version 2 of the License, or
%  (at your option) any later version.
%
%  This program is distributed in the hope that it will be useful,
%  but WITHOUT ANY WARRANTY; without even the implied warranty of
%  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%  GNU General Public License for more details.
%
%  You should have received a copy of the GNU General Public License along
%  with this program; if not, write to the Free Software Foundation, Inc.,
%  51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.


function varargout=DiagExtract(h2,h3,h4,h5,h6,h7,h8,h9,h10)

single=0;

switch nargin
case 1
    ord=length(size(h2));
    if ord>2,single=ord;eval(['h' num2str(ord) '=h2; clear h2']);end
otherwise
    ord=nargin+1;
end

if (ord>=2) && ((single==0)||(single==2))
    R=size(h2,1);
    d2=NaNmat(R,R);
    for tau=1:R
        d2(tau,tau)=h2(tau,tau);
    end
    varargout{1}=d2;
    clear d2;
end

if (ord>=3) && ((single==0)||(single==3))
    R=size(h3,1);
    d3=NaNmat(R,R,R);
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                if (tau1==tau2)||(tau2==tau3)||(tau1==tau3)
                    d3(tau1,tau2,tau3)=h3(tau1,tau2,tau3);
                end
            end
        end
    end
    if single==3, varargout{1}=d3;else varargout{2}=d3; clear d3;end
end

if (ord>=4) && ((single==0)||(single==4))
    R=size(h4,1);
    d4=NaNmat(R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    ind=[tau1 tau2 tau3 tau4];
                    for i=1:4,
                        if length(find(ind(i)==ind))>1;eqflag=1;break,end
                    end
                    if eqflag==1,d4(tau1,tau2,tau3,tau4)=h4(tau1,tau2,tau3,tau4);eqflag=0;end
                end
            end
        end
    end
    if single==4, varargout{1}=d4;else varargout{3}=d4; clear d4;end
end

if (ord>=5) && ((single==0)||(single==5))
    R=size(h5,1);
    d5=NaNmat(R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        ind=[tau1 tau2 tau3 tau4 tau5];
                        for i=1:5,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                        if eqflag==1,d5(tau1,tau2,tau3,tau4,tau5)=h5(tau1,tau2,tau3,tau4,tau5);eqflag=0;end
                    end
                end
            end
        end
    end
    if single==5, varargout{1}=d5;else varargout{4}=d5; clear d5;end
end

if (ord>=6) && ((single==0)||(single==6))
    R=size(h6,1);
    d6=NaNmat(R,R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        for tau6=1:R
                            ind=[tau1 tau2 tau3 tau4 tau5 tau6];
                            for i=1:6,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                            if eqflag==1,d6(tau1,tau2,tau3,tau4,tau5,tau6)=h6(tau1,tau2,tau3,tau4,tau5,tau6);eqflag=0;end
                        end
                    end
                end
            end
        end
    end
    if single==6, varargout{1}=d6;else varargout{5}=d6; clear d6;end
end

if (ord>=7) && ((single==0)||(single==7))
    R=size(h7,1);
    d7=NaNmat(R,R,R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        for tau6=1:R
                            for tau7=1:R
                                ind=[tau1 tau2 tau3 tau4 tau5 tau6 tau7];
                                for i=1:7,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                                if eqflag==1,d7(tau1,tau2,tau3,tau4,tau5,tau6,tau7)=h7(tau1,tau2,tau3,tau4,tau5,tau6,tau7);eqflag=0;end
                            end
                        end
                    end
                end
            end
        end
    end
    if single==7, varargout{1}=d7;else varargout{6}=d7; clear d7;end
end

if (ord>=8) && ((single==0)||(single==8))
    R=size(h8,1);
    d8=NaNmat(R,R,R,R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        for tau6=1:R
                            for tau7=1:R
                                for tau8=1:R
                                    ind=[tau1 tau2 tau3 tau4 tau5 tau6 tau7 tau8];
                                    for i=1:8,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                                    if eqflag==1,d8(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8)=h8(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8);eqflag=0;end
                                end
                            end
                        end
                    end
                end
            end
        end
    end
    if single==8, varargout{1}=d8;else varargout{7}=d8; clear d8;end
end

if (ord>=9) && ((single==0)||(single==9))
    R=size(h9,1);
    d8=NaNmat(R,R,R,R,R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        for tau6=1:R
                            for tau7=1:R
                                for tau8=1:R
                                    for tau9=1:R
                                        ind=[tau1 tau2 tau3 tau4 tau5 tau6 tau7 tau8 tau9];
                                        for i=1:9,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                                        if eqflag==1,d9(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8,tau9)=h9(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8,tau9);eqflag=0;end
                                    end
                                end
                            end
                        end
                    end
                end
            end
        end
    end
    if single==9, varargout{1}=d9;else varargout{8}=d9; clear d9;end
end

if (ord>=10) && ((single==0)||(single==10))
    R=size(h10,1);
    d8=NaNmat(R,R,R,R,R,R,R,R,R,R);
    eqflag=0;
    for tau1=1:R
        for tau2=1:R
            for tau3=1:R
                for tau4=1:R
                    for tau5=1:R
                        for tau6=1:R
                            for tau7=1:R
                                for tau8=1:R
                                    for tau9=1:R
                                        for tau10=1:R
                                            ind=[tau1 tau2 tau3 tau4 tau5 tau6 tau7 tau8 tau9 tau10];
                                            for i=1:10,if length(find(ind(i)==ind))>1;eqflag=1;break,end,end
                                            if eqflag==1,d10(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8,tau9,tau10)=h10(tau1,tau2,tau3,tau4,tau5,tau6,tau7,tau8,tau9,tau10);eqflag=0;end
                                        end
                                    end
                                end
                            end
                        end
                    end
                end
            end
        end
    end
    if single==10, varargout{1}=d10;else varargout{9}=d10; clear d10;end
end