| 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of the Daubechies wavelets, are based on the use of Bernstein polynomials and are due to Kateb and Lemarié in an unpublished work.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 | |