📄 mfwork01.m
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% MFWork01: Multifractal Workout: CWT Analysis of Cantor Signal
% modifiable parameters
N = 4096; % signal length; fairly large
nvoice = 12; % Following JS Bach, Well-Tempered Klavier
% create a Brownian
CantorMeasure = MakeFractal(N,3,'Deterministic',[.5 0 .5]);
Devil = cumsum(CantorMeasure); t = (.5:(N-.5))./N;
figure; plot(t, Devil); title(sprintf(' Devil Staircase Signal'));
% make CWT
% Devil = Devil - Devil(N) .*t;
Devil_cwt = CWT_Wavelab(Devil,nvoice,'Sombrero');
sz = size(Devil_cwt); nscale = sz(2);
% display CWT
figure; ImageCWT(Devil_cwt,'Individual','hot');
title('CWT')
% Build Maxima Map
Devil_maxmap = WTMM(Devil_cwt);
% display maxmap
figure; ImageWTMM(Devil_maxmap)
% Identify Ridges
[skm,skp,skl] = BuildSkelMapFast(Devil_maxmap);
% display Ridges
figure; PlotSkelMap(N,nscale,skm,skp,skl);
% RidgePlots
ridgelist = [ 6, 7, 13, 29, 76, 115];
figure; PlotRidges(ridgelist,Devil_cwt,skm,skp,skl);
% PruneRidges
[skellist,skelptr,skellen] = PruneSkelMap(Devil_cwt,.001,1,skm,skp,skl);
figure; PlotSkelMap(N,nscale,skellist,skelptr,skellen);
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:43 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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