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Constructions of vector-valued filters and vector-valued wavelets
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نویسنده
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he j. ,huang s.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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Let a = (a 1,a 2,a m) m 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 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. copyright © 2012 jianxun he and shouyou huang.
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آدرس
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school of mathematics and information sciences,guangzhou university,guangzhou 510006,china,key laboratory of mathematics and interdisciplinary sciences,guangdong higher education institutes,guangzhou university, China, school of mathematics and information sciences,guangzhou university,guangzhou 510006,china,key laboratory of mathematics and interdisciplinary sciences,guangdong higher education institutes,guangzhou university, China
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Authors
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