Title :
Wavelet analysis as an information processing technique
Author :
de Oliveira, H.M. ; de Souza, D.F.
Author_Institution :
Fed. Univ. of Pernambuco, Recife
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;
Conference_Titel :
Telecommunications Symposium, 2006 International
Conference_Location :
Fortaleza, Ceara
Print_ISBN :
978-85-89748-04-9
Electronic_ISBN :
978-85-89748-04-9
DOI :
10.1109/ITS.2006.4433232
