| Wavelet Toolbox | |
Example 2
In the following example, new compactly supported orthogonal wavelets are added to the toolbox. These wavelets, which are a slight generalization of the Daubechies wavelets, are based on the use of Bernstein polynomials and are due to Kateb and Lemarié in an unpublished work.
% List initial wavelets families. wavemngr('read') ans = =================================== Haar haar Daubechies db Symlets sym Coiflets coif BiorSplines bior ReverseBior rbio Meyer meyr DMeyer dmey Gaussian gaus Mexican_hat mexh Morlet morl Complex Gaussian cgau Shannon shan Frequency B-Spline fbsp Complex Morlet cmor =================================== % List all wavelets. wavemngr('read',1) ans = =================================== Haar haar =================================== Daubechies db ------------------------------ db1 db2 db3 db4 db5 db6 db7 db8 db9 db10 db** =================================== Symlets sym ------------------------------ sym2 sym3 sym4 sym5 sym6 sym7 sym8 sym** =================================== Coiflets coif ------------------------------ coif1 coif2 coif3 coif4 coif5 =================================== BiorSplines bior ------------------------------ bior1.1 bior1.3 bior1.5 bior2.2 bior2.4 bior2.6 bior2.8 bior3.1 bior3.3 bior3.5 bior3.7 bior3.9 bior4.4 bior5.5 bior6.8 =================================== ReverseBior rbio ------------------------------ rbio1.1 rbio1.3 rbio1.5 rbio2.2 rbio2.4 rbio2.6 rbio2.8 rbio3.1 rbio3.3 rbio3.5 rbio3.7 rbio3.9 rbio4.4 rbio5.5 rbio6.8 =================================== Meyer meyr =================================== DMeyer dmey =================================== Gaussian gaus ------------------------------ gaus1 gaus2 gaus3 gaus4 gaus5 gaus6 gaus7 gaus8 gaus** =================================== Mexican_hat mexh =================================== Morlet morl =================================== Complex Gaussian cgau ------------------------------ cgau1 cgau2 cgau3 cgau4 cgau5 cgau** =================================== Shannon shan ------------------------------ shan1-1.5 shan1-1 shan1-0.5 shan1-0.1 shan2-3 shan** =================================== Frequency B-Spline fbsp ------------------------------ fbsp1-1-1.5 fbsp1-1-1 fbsp1-1-0.5 fbsp2-1-1 fbsp2-1-0.5 fbsp2-1-0.1 fbsp** =================================== Complex Morlet cmor ------------------------------ cmor1-1.5 cmor1-1 cmor1-0.5 cmor1-1 cmor1-0.5 cmor1-0.1 cmor** =================================== % Add new family of orthogonal wavelets. % You must define: % % Family Name: Lemarie % Family Short Name: lem % Type of wavelet: 1 (orth) % Wavelets numbers: 1 2 3 4 5 % File driver: lemwavf % % The function lemwavf.m must be as follow: % function w = lemwavf(wname) % where the input argument wname is a string: % wname = 'lem1' or 'lem2' ... i.e., % wname = sh.name + number % and w the corresponding scaling filter. % The addition is obtained using: wavemngr('add','Lemarie','lem',1,'1 2 3 4 5','lemwavf'); % The ascii file 'wavelets.asc' is saved as % 'wavelets.prv', then it is modified and % the MAT file 'wavelets.inf' is generated. % List wavelets families. wavemngr('read') ans = =================================== Haar haar Daubechies db Symlets sym Coiflets coif BiorSplines bior ReverseBior rbio Meyer meyr DMeyer dmey Gaussian gaus Mexican_hat mexh Morlet morl Complex Gaussian cgau Shannon shan Frequency B-Spline fbsp Complex Morlet cmor Lemarie lem ===================================
| | Example 1 | After Adding a New Wavelet Family | |
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