comp_cantight_fac.m

Matlab时频分析工具箱,希望能对大家有所帮助啊

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

% 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/>.

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;

G=zeros(p,q*R);
if p==1
  % Integer oversampling, including Wilson basis.
  for ii=1:c*d
    gf(:,ii)=gf(:,ii)/norm(gf(:,ii));
  end;
else
  for ii=1:c*d
    
    G(:)=gf(:,ii);
    
    % Compute thin SVD
    [U,sv,V] = svd(G,'econ');
    
    Gtight=U*V';  
    
    gf(:,ii)=Gtight(:);
  end;
end;