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Construction of a class of multivariate compactly supported wavelet bases for L2(?d) |
Fengying ZHOU, Yunzhang LI( ) |
| College of Applied Sciences, Beijing University of Technology, Beijing 100124, China |
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Abstract In this paper, for a given d×d expansive matrix M with |det M| = 2, we investigate the compactly supported M-wavelets for L2(?d). Starting with a pair of compactly supported refinable functions ? and ? ? satisfying a mild condition, we obtain an explicit construction of a compactly supported wavelet ψ such that {2j/2ψ(Mj·-k):j∈?, k∈?d} forms a Riesz basis for L2(?d). The (anti-)symmetry of such ψ is studied, and some examples are also provided.
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| Keywords
Riesz basis
wavelet
refinable function
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Corresponding Author(s):
LI Yunzhang,Email:yzlee@bjut.edu.cn
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Issue Date: 01 February 2012
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