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function f=comp_ifilterbank_td(c,g,a,Ls,offset,ext)
%-*- texinfo -*-
%@deftypefn {Function} comp_ifilterbank_td
%@verbatim
%COMP_IFILTERBANK_TD Synthesis filterbank by conv2
% Usage: f=comp_ifilterbank_td(c,g,a,Ls,skip,ext);
%
% Input parameters:
% c : Cell array of length M, each element is N(m)*W matrix.
% g : Filterbank filters - length M cell-array, each element is vector of length filtLen(m)
% a : Upsampling factors - array of length M.
% skip : Delay of the filters - scalar or array of length M.
% Ls : Output length.
% ext : Border exension technique.
%
% Output parameters:
% f : Output Ls*W array.
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/comp/comp_ifilterbank_td.html}
%@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/>.
%input channel number
W=size(c{1},2);
%filter number
M=numel(g);
%length of filters
filtLen = cellfun(@(x) numel(x),g(:));
skip = -(1-filtLen-offset(:));
% Allow filter delay only in the filter support range
if(any(skip(:)>=filtLen) || any(skip)<0)
error('%s: The filter zero index position outside of the filter support.', upper(mfilename));
end
if(numel(skip)==1)
skip = skip*ones(M,1);
end
% Output memory allocation
f=zeros(Ls,W,assert_classname(c{1},g{1}));
if(~strcmp(ext,'per'))
ext = 'zero';
end
skipOut = a(:).*(filtLen-1)+skip(:);
% W channels are done simultaneously
for m=1:M
cext = comp_extBoundary(c{m},filtLen(m)-1,ext,'dim',1);
ftmp = conv2(conj(flipud(g{m}(:))),comp_ups(cext,a(m)));
f = f + ftmp(1+skipOut(m):Ls+skipOut(m),:);
end
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