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% Continuous:Contents v802 -- Continuous Wavelet Transform tools
%
% The routines in this directory perform periodic Continuous Wavelet
% Transforms of 1-d signals, and tasks associated with CWT -- ridge and
% skeleton extraction. The underlying computations are completely
% different than in the usual orthogonal wavelet transforms -- they are
% all based on convolution with gaussian-type windows, using frequency
% domain implementations. Reconstruction is of little interest. Instead,
% the aim is to calculate local scaling exponents at various points in
% the signal, and to calculate generalized fractal dimensions.
%
% Attention; if signal length n=4096 and you use 12 voices per octave, you
% will need maybe 32 MB of RAM to successfully run this sequence of tools
% without an OUT-OF-MEMORY problem
%
% Wavelet Transforms
%
% RWT Real Wavelet Transform
% iRWT Inverse Real Wavelet Transform
% MM_RWT Modulus Maxima of a Real Wavelet Transform
% ImageRWT Image of Continuous Wavelet Transform
%
% AWT Analytical Wavelet Transform
% Ridge_AWT Ridges of an Analytic Wavelet Transform
%
% CWT Continuous Wavelet Transform
% ImageCWT Image Display of CWT
%
% Maxima
%
% WTMM Identify maxima of wavelet transform
% ImageWTMM Display maxima of wavelet transform.
%
% Skeleton
%
% BuildSkelMap Build Map of Skeleton of Wavelet Transform
% BuildSkelMapFast Build Map of Skeleton of Wavelet Transform -- Faster
% PlotSkelMap Display Skeleton Map
% PruneSkelMap Prune weak ridges from Skeleton Map
%
% Ridges
%
% ExtractRidge Extract Single Ridge from Skeleton Map
% PlotRidges log-log plot of amplitudes along several ridges
%
% Thermodynamic Formalism
%
% CalcThermoPartition Calculate Z(q,a) of Thermodynamic formalism
% PlotThermoPartition Display Z(q,a) of Thermodynamic formalism
%
% CalcGenFracDimen Calculate D(q) of Thermodynamic formalism
% PlotGenFracDimen Display D(q) of Thermodynamic formalism
%
% CalcMomentGenFun Calculate tau(q) of Theormodynamic formalism
% PlotMomentGenFun Display tau(q) of Theormodynamic formalism
%
% CalcFracSpectrum Calculate f(alpha) of Multifractal formalism
% PlotFracSpectrum Calculate f(alpha) of Multifractal formalism
%
% Auxiliary
%
% CalcCWTScale Tool for calculating scales used in CWT
% CalcCWTPars Tool for calculating parameters used in CWT
% CalcCWTNorms Tool for calculating norms scale-by-scale in CWT
%
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:39 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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