CONSTRUCTION OF COMPACTLY SUPPORTED NONSEPARABLE ORTHOGONAL WAVELETS OF L 2 (R n )

Shouzhi Yang, Yanmei Xue · 2010

Abstract. We present a method for the construction of nonsepa-rable and compactly supported orthogonal wavelet bases of L2(Rn), n ≥ 2. The orthogonal wavelets are associated with dilation ma-trix 3In, where In is the identity matrix of order n. An example is given to illustrate how to use our method to construct nonseparable orthogonal wavelet bases. 1.

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