📄 wvdist.m
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function wig = WVDist(sig)
% WVDist -- Wigner-Ville Distribution
% Usage
% wig = WVDist(sig)
% Inputs
% sig 1-d signal of dyadic length n=2^J
% Outputs
% wig complex-valued matrix representing the Wigner-Ville
% distribution of zero-extended signal with rows corresponding
% to frequencies and columns corresponding to times.
%
% Side Effects
% Image Plot of the Wigner-Ville distribution
%
% See Also
% WVDist_AF, TFDist_AF, ImagePhasePlane
%
sig = sig(:);
n = length(sig);
f = [zeros(n,1); sig; zeros(n,1)];
wig = zeros(n, n);
ix = 0:(n/2-1);
zerosn = zeros(n,1);
for t=1:n,
tplus = n + t + ix;
tminus = n + t - ix;
x = zerosn;
x(1:(n/2)) = f(tplus) .* f(tminus);
wig(:,t) = 2 * fft(x);
end
abstf = abs(wig);
tfmax = max(max(abstf));
tfmin = min(min(abstf));
colormap(1-gray(256))
image(linspace(0,1,n),linspace(0,1,n),256*(abstf-tfmin)/(tfmax-tfmin));
axis('xy')
title('Wigner Distribution');
xlabel('Time')
ylabel('Frequency')
%
% Copyright (c) 1994-5, Shaobing Chen
%
%
% Part of WaveLab Version 802
% Built Sunday, October 3, 1999 8:52:27 AM
% This is Copyrighted Material
% For Copying permissions see COPYING.m
% Comments? e-mail wavelab@stat.stanford.edu
%
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