comp_cantight_fac.m

linear time－frequency toolbox

function ff=comp_cantight_fac(gf,L,a,M)
%COMP_CANDUAL_FAC  Computes factorization of canonical tight window 
%

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;

ff=zeros(p*q*R,c*d);

G=zeros(p,q*R);
for ii=1:c*d

  G(:)=gf(:,ii);

  [U,sv,V] = svd(G);
        
  Gtight=U*V(:,1:p)';  

  ff(:,ii)=Gtight(:);
end;