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function c=ref_edgtii(f,g,a,M)
%-*- texinfo -*-
%@deftypefn {Function} ref_edgtii
%@verbatim
%REF_EDGTII Reference Even Discrete Gabor transform type II
% Usage c=ref_edgt(f,g,a,M);
%
% If a is even, then the input window must be odd-centered of length 2L.
%
% If a is odd, then the input window must be even-centered of length 2L.
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/reference/ref_edgtii.html}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.2.0
%
% 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/>.
L=size(f,1);
W=size(f,2);
N=L/a;
b=L/M;
%Fold=zeros(2*L,M*N);
F=zeros(L,M*N);
%l2=(0:2*L-1).';
l=(0:L-1).';
%lfirst=(0:L-1).';
lsecond=(2*L-1:-1:L).';
gnew=circshift(g,floor(a/2));
for n=0:N-1
for m=0:M-1
%Fold(:,M*n+m+1)=exp(2*pi*i*m*(l2+.5)/M).*circshift(gnew,n*a);
gshift=circshift(gnew,n*a);
%F(:,M*n+m+1)=exp(2*pi*i*m*(lfirst+.5)/M).*gshift(l+1) + ...
% exp(2*pi*i*m*(lsecond+.5)/M).*gshift(lsecond+1);
F(:,M*n+m+1)=exp(2*pi*i*m*(l+.5)/M).*gshift(l+1) + ...
exp(-2*pi*i*m*(l+.5)/M).*gshift(lsecond+1);
end;
end;
c=F'*f;
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