Open Access
2012 Orthogonal Multiwavelet Frames in L 2 R d
Liu Zhanwei, Hu Guoen, Wu Guochang
J. Appl. Math. 2012: 1-18 (2012). DOI: 10.1155/2012/846852


We characterize the orthogonal frames and orthogonal multiwavelet frames in L 2 R d with matrix dilations of the form ( D f ) ( x ) = d e t A f ( A x ) , where A is an arbitrary expanding d {\times} d matrix with integer coefficients. Firstly, through two arbitrarily multiwavelet frames, we give a simple construction of a pair of orthogonal multiwavelet frames. Then, by using the unitary extension principle, we present an algorithm for the construction of arbitrarily many orthogonal multiwavelet tight frames. Finally, we give a general construction algorithm for orthogonal multiwavelet tight frames from a scaling function.


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Liu Zhanwei. Hu Guoen. Wu Guochang. "Orthogonal Multiwavelet Frames in L 2 R d ." J. Appl. Math. 2012 1 - 18, 2012.


Published: 2012
First available in Project Euclid: 15 March 2012

zbMATH: 1235.42036
MathSciNet: MR2861929
Digital Object Identifier: 10.1155/2012/846852

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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