Construction of Compactly Supported Orthonormal Symmetric and Antisymmetric Two-Direction Refinable Functions and its Corresponding Wavelet with Scale M

Abstract:

In this paper, the concepts and related conclusions of two-direction multiresolution analysis and two-direction refinable functions are introduced; two-direction wavelet with scale 2 is researched and is extended to orthonormal symmetric and antisymmetric two-direction wavelet with scale M and relevant properties are obtained. A condition that stable solution of two-direction refinable functions can create for MRA is given; finally construction of two-direction wavelet by two-direction compactly orthonormal refinable functions is discussed.

• Periodical: Advanced Materials Research (Volumes 765-767)
• Pages: 2870-2873
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.765-767.2870
• Online since: September 2013
• Authors: Wan She Li, Quan Gang Yao
• Keywords: Antisymmetric, Compactly, Orthonormal, Symmetric, Two-Direction Refinable Functions, Two-Direction Wavelet

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