By Hélio M. de Oliveira and Giovanna A.A. de Araújo  hmo@ufpe.br

Here you will find instructions for installing Beta wavelets in the MATLAB wavelet toolbox.

Wavelet Information:
            full name             -      beta
            compact name    -      beta      (e.g. beta34)
            parameter alpha  -      alpha_beta = 33 34 43 44 35 53 ... 88
                                            2 < alpha < 10,  2 < beta < 10
 
In the Matlab wavelet toolbox, there exist five kinds of wavelets (type the command waveinfo on the prompt):
(i) crude wavelets (ii) Infinitely regular wavelets (iii) Orthogonal and compactly supported wavelets
(iv) biorthogonal and compactly supported wavelet pairs and (v) complex wavelets.

Beta wavelets possess closed expression:  infinitely regular beta (type 3). 

MATLAB version 6 or more recent.

Algorithm:

STEP 1 - Download the m files     |  betawavf.m  |  betainfo.m  |  

STEP 2 - Place the above files at the folder MatLab/toolbox/wavelet/wavelet
              If your Matlab version has not such a path, you can find other similar wavelet files as "dbwavf.m"
              and place "betawavf.m" and "betainfo.m" at the same place.

STEP 3 - In order to install beta wavelet, type the following at the Matlab Command prompt:

           wavemngr('add','beta','beta',3,'33 34 43 35 53 44 36 63 46 64 66 37 73 47 74 57 75 67 76 77 38 83 48 84 58 85 68 86 78 87 88','betawavf',[-5,5])
         

1) To check whether beta wavelet was successfully installed or not, type at the prompt of the MatLab Command Window :  wavemngr('read',1)

2) To see beta wavelet information. Type at the prompt of the MatLab Command Window :
type betainfo

3) Now type wavemenu 
 

Final Remarks:

  EULER

Reference:

[1] G.A.A. de Arújo, H.M. de Oliveira, Compactly Supported One-cyclic Wavelets Derived from Beta Distributions,
XXII SIMPÓSIO BRASILEIRO DE TELECOMUNICAÇÕES- SBT’05, 04- 08 de Setembro de 2005, Campinas - SP

[2]. H.M. DE OLIVEIRA, G. A. A. ARAÚJO,
Compactly Supported One-cyclic Wavelets Derived from Beta Distributions,-- JCIS.
Journal of Communication and Information Systems , (former Journal of the Brazilian Telecommunications Society),
vol.20, n.3, pp.27-33, 2005. link (also ISSN 1980-6604 pp.105-111)
[full text.pdf], [abstract.wav], [abstract.htm]