2010•Journal of Jishou UniversityRequires access

Construction of Biorthogonal Wavelet Based on the Perfect Reconstruction Condition

Jianping Zeng

Abstract

A general construction approach of biorthogonal wavelet filters based on the perfect reconstruction is presented.Given the number of vanishing moments and length of the filters,coefficients of biorthogonal wavelet filters can be obtained by the resolution of equations.This method is used to construct JPEG2000 5/3 wavelet,CDF9/7 wavelet and a biorthogonal 9/7 taps wavelet which is adaptive to hardware implement with simple coefficients.

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Key concepts: Wavelet, Biorthogonal system, Biorthogonal wavelet, Mathematics, Wavelet packet decomposition, Lifting scheme, Stationary wavelet transform, Second-generation wavelet transform