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Wavelet Transforms in MATLAB

by Pascal Getreuer

 

20 May 2006 (Updated 25 Aug 2006)

Self-contained function for Daubechies, symlets, splines, S+P wavelets, JPEG2000 wavelets, and more.

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Description

Perform 1D and 2D wavelet transforms in MATLAB. WAVELET(W,L,X) computes the L-stage discrete wavelet transform (DWT) of signal X using wavelet W. For the inverse transform, WAVELET(W,-L,X) inverts L stages. Included wavelets are  
* Haar  
* Daubechies 1-6  
* Symlets 1-6  
* Coiflets 1 and 2  
* Splines and reverse splines  
* CDF 9/7 and Le Gall 5/3  
* S+P wavelets (2,2), (4,2), (4,4), (6,2), and (2+2,2)  
* Two Ten "TT"  
* Low-complexity design  
* HVS design Visual 9/3  
 
WAVELET(W) displays information about wavelet W.  
 
WAVELET(W, 'filters') returns the filters associated with wavelet W.  
 
 
Example usage:  
 
% 1D wavelet transform with Symlet 4  
Y = wavelet('Sym4', 5, X); % Forward transform with 5 stages  
R = wavelet('Sym4', -5, Y); % Invert 5 stages  
 
% 2D wavelet transform with Le Gall 5/3  
Y = wavelet('2D Le Gall 5/3', 2, X);  
 
% Display information about the CDF 9/7 wavelet  
wavelet('CDF 9/7');  
 
 
See the function help header for more detailed information.

MATLAB release MATLAB 5.3 (R11)
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Comments and Ratings (6)
14 Feb 2007 E D  
30 Mar 2007 Josef Hook The S+P wavelets does not seem to give a correct output.
11 Jan 2008 ilyas mohammad very useful. Thanks.
02 Jul 2008 joy P  
20 Jul 2008 khaled eldalil NEED MORE DISCRIPTION FOR DWT
06 Aug 2008 felix baer  
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Updates
09 Jun 2006 More wavelets added, revised naming on spline wavelets
15 Jun 2006 Minor fixes
25 Aug 2006 Various changes, added Spline 4.8

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