2001•Proceedings of the CSEERequires access

A GENERALIZITION LIFTING APPROACH TO CONSTRUCT COMPLEX COMPACTLY-SUPPORTED BIORTHOGONAL WAVELETS

Xiang Chen

Abstract

This paper presents a lifting scheme based generalizition procedure to construct omplex compactly supported biorthogonal wavelets as many as need with various phase spectrums including linear phase spectrums and the number of vanishing moments we want. This kind of complex wavelets can extract phase information and can match well to different signals with different phase spectrums. Wavelet tranforms with these wavelets can be implemented quickly. These make them be powerful tools for signal processing in power system. Examples how to design complex compactly supported biorthogonal wavelets by this procedure are given.

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Key concepts: Biorthogonal system, Wavelet, Legendre wavelet, Construct (python library), Lifting scheme, Mathematics, Algorithm, Gabor wavelet