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📄 contents.m

📁 % Atomizer Main Directory, Version .802 里面信号含有分解去噪合成过程的代码 %---------------------------------------
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% Dictionaries:Contents -- Fast Analysis/Synthesis operators for various
%	dictionaries
%
% The routines in this directory provide an object-oriented way to
% perform fast analysis and fast synthesis transforms for all the
% dictionaries implemented in Atomizer. The top level routines are
% FastA, FastS, FastAA and FastSS. Four arguments 
% (NameOfDict, par1, par2, par3) are used to specify a dictionary.
% We define the List data structure, which allows easy access to merged
% dictionaries. The dictionaries implemented are Diracs, Heavisides,
% Jumps(Smoothed Heavisides), Discrete Cosines, Discrete Sines,
% PO(Periodized-Orthogonal) Wavelets, TVPO (PO Wavelets normalized by Total
% Variation), Stationary PO Wavelets, PBS(Periodized-Biorthogonal-Symmetric)
% Wavelets, Splines(Stationary PBS Wavelets), Wavelet Packets and Cosine
% Packets, Multi-Duration Exponentials, or mergers of any dictionaries above.
%
%
%
%		Routines for General Dictionaries
%
%   MakeDict		Make dictionary matrix for a dictionary
%   SizeOfDict		Cardinality and overcompleteness of a dictionary
%   FastA		Fast Analysis Operator for a dictionary \Phi
%   FastAA		Fast Analysis Operator for [\Phi -\Phi]
%   FastS		Fast Synthesis Operator for a dictionary
%   FastSS		Fast Synthesis Operator for [\Phi -\Phi]
%
%
%		List Data Structure
%
%   MakeList		Make a List object
%   NthList		Extract the Nth element from a List object
%   LengthList		Calculate the # of elements in a List object
%
%
%		Documentation
%
%   dictionary		Documentation for dictionary parameters
%
%
%		Fast Analysis/Synthesis Operators for Specific Dictinoiaries
%
%  Dictionaries normalized by l^2 norm:
%
%   FastDIRACAnalysis	Dirac Dictionary
%   FastDIRACSynthesis	
%   FastDCTAnalysis	Discrete Cosine Dictioary
%   FastDCTSynthesis	
%   FastDSTAnalysis	Discrete Sine Dictionary
%   FastDSTSynthesis	
%   FastPOAnalysis	Periodized-Orthogonal Wavelet Dictionary
%   FastPOSynthesis		
%   FastPBSAnalysis	Periodized-Biorthogonal-Symmetric Wavelet Dictionary
%   FastPBSSynthesis	
%   FastSTATAnalysis	Stationary PO Wavelet Dictionary
%   FastSTATSynthesis
%   FastSPAnalysis	Spline (Stationary PBS Wavelet) Dictionary
%   FastSPSynthesis
%   FastWPAnalysis	Wavelet Packet Dictionary
%   FastWPSynthesis
%   FastCPAnalysis	Cosine Packet Dictionary
%   FastCPSynthesis
%   FastMDCAnalysis	Multi-Duration Cosine Dictionary
%   FastMDCSynthesis
%
% Dictionaries normalized by Total Variation:
%
%   FastHSAnalysis	Heaviside Dictionary
%   FastHSSynthesis		
%   FastJUMPAnalysis	Smoothed Heaviside Dictionary
%   FastJUMPSynthesis
%   FastPOTVAnalysis	TV-Periodized-Orthogonal Wavelet Dictionary
%   FastPOTVSynthesis
%
%
%		Supplement Routines used by Fast Operators
%
%   FCPSynthesis.c	For FastCPSynthesis
%   FCPSynthesis.m
%   FCPSynthesis.mex
%   FWPSynthesis.c	For FastWPSynthesis
%   FWPSynthesis.m
%   FWPSynthesis.mex
%   TIWTAnalysis.c	For FastSTATAnalysis
%   TIWTAnalysis.m
%   TIWTAnalysis.mex
%   TIWTSynthesis.c	For FastSTATSynthesis
%   TIWTSynthesis.m
%   TIWTSynthesis.mex
%   TIPBSAnalysis.c	For FastSPAnalysis
%   TIPBSAnalysis.m
%   TIPBSAnalysis.mex
%   TIPBSSynthesis.c	For FastSPSynthesis
%   TIPBSSynthesis.m
%   TIPBSSynthesis.mex4
%

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