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function lambdas=comp_gfeigs(gf,L,a,M)
%COMP_GFEIGS_SEP
% Usage: lambdas=comp_gfeigs(gf,a,M);
%
% Compute Eigenvalues of a Gabor frame operator in
% the separable case.
%
% This is a computational routine, do not call it directly.
%
% See help on GFBOUNDS
% AUTHOR : Peter L. Søndergaard.
LR=prod(size(gf));
R=LR/L;
b=L/M;
N=L/a;
c=gcd(a,M);
d=gcd(b,N);
p=b/d;
q=N/d;
% Initialize eigenvalues
AF=Inf;
BF=0;
% Holds subsubmatrix.
C=zeros(p,q*R);
lambdas=zeros(p,c*d);
% Iterate through all the subsubmatrices.
for k=0:c*d-1
% Extract p x q*R matrix of array.
C(:)=gf(:,k+1);
% Get eigenvalues of 'squared' subsubmatrix.
lambdas(:,1+k)=eig(C*C');
end;
% Clean eigenvalues, they are real, and
% scale them correctly.
lambdas=real(lambdas);
% Reshape and sort.
lambdas=sort(lambdas(:));

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