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function F=tfmat(ttype,p2,p3,p4,p5)
%-*- texinfo -*-
%@deftypefn {Function} tfmat
%@verbatim
%TFMAT Matrix of transform / operator
% Usage: F=tfmat('fourier',L);
% F=tfmat('dcti',L);
% F=tfmat('dgt',g,a,M);
% F=tfmat('dwilt',g,M);
% F=tfmat('wmdct',g,M);
% F=tfmat('zak',L,a);
% F=tfmat('gabmul',sym,a);
% F=tfmat('spread',c);
%
% TFMAT has been deprecated. Please construct a frame (using FRAME)
% and use FRSYNMATRIX, or construct an operator (using OPERATORNEW)
% and use OPERATORMATRIX instead.
%
% Original help
% -------------
%
% TFMAT returns a matrix F containing the basis functions / atoms of
% one of the transforms in the toolbox. The atoms are placed as column
% vectors in the matrix. A forward transform (analysis) can be done by:
%
% c=F'*f;
%
% and a backwards or adjoint transform (synthesis) can be done by:
%
% r=F*c;
%
% The possibilities are:
%
% TFMAT('fourier',L) returns the matrix of the unitary Fourier
% transform of length L. See DFT.
%
% TFMAT('dcti',L) returns the matrix of the DCTI transform of length
% L. Similarly for 'dctii', 'dctiii', 'dctiv', 'dsti', 'dstii',
% 'dstiii' or 'dstiv'.
%
% TFMAT('dgt',g,a,M) returns a matrix containing all the atoms of the
% Gabor frame with window g and lattice constants a and M.
% TFMAT('dgt',g,a,M,L) will do the same for a FIR window g.
%
% TFMAT('dwilt',g,M) returns a matrix containing all the atoms of the
% Wilson basis with window g and M channels. TFMAT(g,M,L) will do the
% same for a FIR window g.
%
% TFMAT('wmdct',g,M) and TFMAT('wmdct',g,M,L) does the same for an WMDCT
% with M channels.
%
% TFMAT('gabmul',sym,a) return the matrix of the Gabor multiplier with
% symbol sym and time shift a. TFMAT('gabmul',c,g,a) does the same
% using the window g for both analysis and synthesis.
% TFMAT('gabmul',sym,ga,gs,a) does the same using ga as analysis window
% and gs as synthesis window.
%
% TFMAT('spread',c) returns the matrix of the spreading operator with
% symbol c.
%
% TFMAT('zak',L,a) returns the transform matrix for a Zak transform of
% length L and parameter a.
%
% This function should mainly be used for educational purposes or for
% experimenting with systems, as the generated matrix can
% become very large.
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/deprecated/tfmat.html}
%@seealso{frsynmatrix, operatormatrix}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.3.1
%
% 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 3 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, see <http://www.gnu.org/licenses/>.
warning(['LTFAT: TFMAT has been deprecated, please use FRSYNMATRIX ' ...
'or OPERATORMATRIX instead.']);
if (nargin<1) || ~ischar(ttype)
error('You must specify the transform type')
end;
switch(lower(ttype))
case {'fourier','dft'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=idft(eye(p2));
case {'dcti'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dcti(eye(p2))';
case {'dctii'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dctii(eye(p2))';
case {'dctiii'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dctiii(eye(p2))';
case {'dctiv'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dctiv(eye(p2))';
case {'dsti'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dsti(eye(p2))';
case {'dstii'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dstii(eye(p2))';
case {'dstiii'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dstiii(eye(p2))';
case {'dstiv'}
complainif_argnonotinrange(nargin,2,2,mfilename);
F=dstiv(eye(p2))';
case {'gabor','dgt'}
complainif_argnonotinrange(nargin,4,5,mfilename);
g=p2;
if nargin==4
L=length(g);
else
L=p5;
end;
a=p3;
M=p4;
N=L/a;
c=reshape(eye(M*N),M,N,M*N);
F=idgt(c,g,a);
case {'wilson','dwilt'}
complainif_argnonotinrange(nargin,3,4,mfilename);
g=p2;
if nargin==3
L=length(g);
else
L=p4;
end;
M=p3;
N=L/M;
c=reshape(eye(M*N),2*M,N/2,M*N);
F=idwilt(c,g);
case {'wmdct'}
complainif_argnonotinrange(nargin,3,4,mfilename);
g=p2;
if nargin==3
L=length(g);
else
L=p4;
end;
M=p3;
N=L/M;
c=reshape(eye(M*N),M,N,M*N);
F=iwmdct(c,g);
case {'spread','spreadop'}
complainif_argnonotinrange(nargin,2,2,mfilename);
c=p2;
L=size(c,2);
F=spreadop(eye(L),c);
case {'gabmul'}
complainif_argnonotinrange(nargin,3,5,mfilename);
sym=p2;
M=size(sym,1);
N=size(sym,2);
switch(nargin)
case 3
a=p3;
L=a*N;
F=gabmul(eye(L),sym,a);
case 4
g=p3;
a=p4;
L=a*N;
F=gabmul(eye(L),sym,g,a);
case 5
ga=p3;
gs=p4;
a=p5;
L=a*N;
F=gabmul(eye(L),sym,ga,gs,a);
end;
case {'ndgt'}
complainif_argnonotinrange(nargin,5,5,mfilename);
g=p2;
a=p3;
M=p4;
L=p5;
%!!! the computation using eye matrix doesn't work if M>sigLen
N=length(a); % number of time positions
MN=sum(M); % total number of frame elements
F=zeros(L,MN);
jj=0;
for ii=1:N
c={eye(M(ii))};
F(:,jj+(1:M(ii)))=indgt(c,g(ii),a(ii),L);
jj=jj+M(ii);
end
case {'zak'}
complainif_argnonotinrange(nargin,3,5,mfilename);
L=p2;
a=p3;
N=L/a;
c=reshape(eye(L),a,N,L);
F=izak(c);
otherwise
error('Unknown transform.');
end;
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