function [f,g]=idwilt(c,g,Ls)
%IDWILT Inverse discrete Wilson transform
% Usage: f=idwilt(c,g);
% f=idwilt(c,g,Ls);
%
% Input parameters:
% c : 2M xN array of coefficients.
% g : Window function.
% Ls : Final length of function (optional)
% Output parameters:
% f : Input data
%
% IDWILT(c,g) computes an inverse discrete Wilson transform with window g.
% The number of channels is deduced from the size of the coefficient array c.
%
% The window g may be a vector of numerical values, a text string or a
% cell array. See the help of WILWIN for more details.
%
% IDWILT(f,g,Ls) does the same, but cuts of zero-extend the final
% result to length Ls.
%
% [f,g]=IDWILT(...) additionally outputs the window used in the
% transform. This is usefull if the window was generated from a
% description in a string or cell array.
%
% See also: dwilt, wilwin, dgt, wilorth
%
% References:
% H. Bölcskei, H. G. Feichtinger, K. Gröchenig, and F. Hlawatsch.
% Discrete-time Wilson expansions. In Proc. IEEE-SP 1996 Int. Sympos.
% Time-Frequency Time-Scale Analysis, june 1996.
%
% Y.-P. Lin and P. Vaidyanathan. Linear phase cosine modulated maximally
% decimated filter banks with perfectreconstruction. IEEE Trans. Signal
% Process., 43(11):2525--2539, 1995.
%
%
% Url: http://ltfat.github.io/doc/gabor/idwilt.html
% Copyright (C) 2005-2023 Peter L. Soendergaard <peter@sonderport.dk> and others.
% This file is part of LTFAT version 2.6.0
%
% 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/>.
% AUTHOR : Peter L. Søndergaard.
% TESTING: TEST_DWILT
% REFERENCE: OK
complainif_argnonotinrange(nargin,2,3,mfilename);
M=size(c,1)/2;
N=2*size(c,2);
W=size(c,3);
a=M;
L=M*N;
assert_L(L,0,L,a,2*M,'IDWILT');
[g,info]=wilwin(g,M,L,'IDWILT');
wasrow=0;
if (ndims(c)==2 && info.wasrow)
wasrow=1;
end;
f=comp_idwilt(c,g);
% Check if Ls was specified.
if nargin==3
f=postpad(f,Ls);
else
Ls=L;
end;
f=comp_sigreshape_post(f,Ls,wasrow,[0; W]);