📄 imagephaseplane.m
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function ImagePhasePlane(TFtype,basis,pkt,titlestr,nTFR,qmf)
% ImagePhasePlane -- Partition phase space by rectangular blocks
% Usage
% ImagePhasePlane(TFtype,basis,pkt[,titlestr,nTFR,qmf])
% Inputs
% TFtype string: type of TF-packets used ('WP','CP')
% btree basis tree
% pkt wavelet or cosine packet table
% titlestr signal name (optional)
% nTFR number of x-points in phaseplane image (optional)
% qmf qmf for calculating WP phase plane location (optional)
%
% Side Effects
% An image plot with colored rectangles based on
% recursive dyadic partitioning of y axis according
% to splits in basis tree.
%
% See Also
% ImageGaborPhase, ImageWavePhase, PlotPhasePlane
%
if (nargin < 6), % Is Wavelet Packet Phase Plane
Corrected = 0; % Position-Corrected?
else
Corrected = 1;
end
if nargin < 5,
nTFR = 256;
end
if nargin < 4,
titlestr = ' ';
end
[n,L] = size(pkt);
%
% initialize tree traversal stack
%
dstack = zeros(1,2^L);
bstack = zeros(1,2^L);
k = 1;
dstack(k) = 0;
bstack(k) = 0;
%
ss = norm(pkt(:,1));
%
TFPlane = zeros(nTFR,nTFR);
while(k > 0),
d = dstack(k); b = bstack(k); k=k-1;
if(basis(node(d,b)) == 0) , % terminal node
ylo = b/2^d; yhi = (b+1)/2^d;
nylo = 1 + floor((nTFR *ylo));
nyhi = 1 + floor((nTFR *yhi));
yind = WrapAround(nylo:nyhi,nTFR);
coeffs = n .* (pkt(packet(d,b,n),d+1) ./ss) .^2;
nbox = n ./ 2^d ; % = length(coeffs);
if Corrected & strcmp(TFtype, 'WP'),
pos = CalcWPLocation(d,b,0,qmf,n);
else
pos = 0;
end
for j=0:(nbox-1),
jnew = rem((pos/n)*nbox + j, nbox);
if coeffs(1+j) > 0,
nxlo = 1 + floor((nTFR *jnew)/nbox);
nxhi = 1 + floor((nTFR *(jnew+1))/nbox);
xind = WrapAround(nxlo:nxhi,nTFR);
if strcmp(TFtype,'CP'),
TFPlane(xind, yind) = TFPlane(xind, yind) + coeffs(1+j);
else
TFPlane(yind, xind) = TFPlane(yind, xind) + coeffs(1+j);
end
end
end
else
k = k+1;
dstack(k) = d+1; bstack(k) = 2*b;
k = k+1;
dstack(k) = d+1; bstack(k) = 2*b+1;
end
end
%
TFMax = max(max(TFPlane));
TFPlane = TFPlane .* ( 256./TFMax);
colormap(1-gray(256));
image(linspace(0,1,nTFR),linspace(0,1,nTFR),TFPlane);
axis('xy'); axis([ 0 1 0 1])
titlestr = ['Phase plane: ' titlestr ];
title(titlestr);
xlabel('Time');
ylabel('Frequency');
%
% Copyright (c) 1993. David L. Donoho
%
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:40 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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