Abstract
Let a be an m-dimensional vector. Then, it can be identified with an 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 length of vector-valued filters. The corresponding scaling functions and wavelet functions are given. Specially, we deal with the construction of filters on symmetric matrix-valued functions space.
Citation
Jianxun He. Shouyou Huang. "Constructions of Vector-Valued Filters and Vector-Valued Wavelets." J. Appl. Math. 2012 1 - 18, 2012. https://doi.org/10.1155/2012/130939
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