2013•Applied Mechanics and MaterialsOpen access

Construction Method of Perfect Reconstruction Condition-Based Biorthogonal Wavelet

Rui Ming Li, Liang Gong, Qi Xiong

Abstract

This paper proposes a general construction method of biorthogonal wavelet based on perfect reconstruction condition. With the certain filter length and vanishing moment, it can educe the biorthogonal wavelets filter coefficient by solving equations. Thereafter, this method constructs 5/3 wavelet, CDF9/7 wavelet and 9/7 wavelet with simple coefficient, which applies well to hardware, for JPEG2000.

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Available abstract

Key concepts: Wavelet, Biorthogonal system, Biorthogonal wavelet, Mathematics, Wavelet packet decomposition, Algorithm, Cascade algorithm, Lifting scheme