Wavelet analysis as an information processing technique

Author

de Oliveira, H.M. ; de Souza, D.F.

Author_Institution

Fed. Univ. of Pernambuco, Recife

fYear

2006

fDate

3-6 Sept. 2006

Firstpage

7

Lastpage

12

Abstract

A new interpretation for the wavelet analysis is reported, which can is viewed as an information processing technique. It was recently proposed that every basic wavelet could be associated with a proper probability density, allowing defining the entropy of a wavelet. Introducing now the concept of wavelet mutual information between a signal and an analysing wavelet fulfils the foundations of a wavelet information theory (WIT). Both continuous and discrete time signals are considered. Finally, we showed how to compute the information provided by a multiresolution analysis by means of the inhomogeneous wavelet expansion. Highlighting ideas behind the WIT are presented.

Keywords

entropy; information theory; signal processing; signal resolution; wavelet transforms; continuous time signals; discrete time signals; entropy; information processing technique; inhomogeneous wavelet expansion; multiresolution analysis; signal processing; wavelet analysis; wavelet information theory; wavelet mutual information; Continuous wavelet transforms; Entropy; Frequency; Information analysis; Information processing; Information theory; Multiresolution analysis; Mutual information; Signal analysis; Wavelet analysis; Wavelet analysis; entropy of wavelets; information theory; multiresolution information; wavelet mutual information;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunications Symposium, 2006 International

Conference_Location

Fortaleza, Ceara

Print_ISBN

978-85-89748-04-9

Electronic_ISBN

978-85-89748-04-9

Type

conf

DOI

10.1109/ITS.2006.4433232

Filename

4433232