2005•Unpublished venueRequires access

Construction of biorthogonal wavelet based on lifting scheme

Yanfeng Geng, Feng Shu-chu

Abstract

The main principle of lifting scheme was introduced. The predict algorithm of lifting scheme was designed using interpolation subdivision. The update coefficients were designed based on the constant vanishing moments of signal. A group of scaling functions of biorthogonal wavelets with different vanishing moments, and wavelet functions with the same order were constructed. The wavelet functions with various properties such as regularity, smoothness and vanishing moments can be obtained by designing different predict and update algorithms. The technique of wavelet construction may provide a simple and practical way to construct the wavelet function and improve the quality and efficiency for signal processing based on the characteristics of processed signal.

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Available abstract

Key concepts: Wavelet, Biorthogonal wavelet, Biorthogonal system, Lifting scheme, Smoothness, Mathematics, Algorithm, Interpolation (computer graphics)