Constructions of Vector-Valued Filters and Vector-Valued Wavelets

Let a  =(a1,a2,…,am)∈ℂm be an m-dimensional vector. Then, it can be identified with an m×m circulant matrix. By using the theory of matrix-valued wavelet analysis (Walden and Serroukh, 2002), we discuss the vector-valued multiresolution analysis. Also, we derive several different designs of finite...

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Bibliographic Details
Main Authors: Jianxun He, Shouyou Huang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/130939
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