The Mallat Algorithm of Biorthogonal Two-direction Bivariate Wavelets and Application in Communication Engineering

Wei-jun YAN

Abstract


In this paper we investigate the Mallat algorithms of biorthogonal bivariate two-direction wavelets. We introduce the concepts of biorthogonal bivariate two-direction refinement function and biorthogonal two-direction bivariate wavelet. The Mallat algorithms of biorthogonal two-direction bivariate wavelets was investigated. Moreover, a necessary and sufficient condition of complete reconstruction with decomposition is deduced. This algorithm is important for the decomposition and reconstruction of discrete signal with finite energy.

Keywords


Biorthogonal two-direction refinement function, Biorthogonal two-direction wavelet, Decomposition and Reconstruction, Communication Engineering.


DOI
10.12783/dtcse/smce2017/12430

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