Orthogonal Multiwavelet Frames in L2(Rd)

Liu Zhanwei, Hu Guoen and Wu Guochang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We characterize the orthogonal frames and orthogonal multiwavelet frames in L2(Rd) with matrix dilations of the form (Df)(x)=detAf(Ax), where A is an arbitrary expanding d × 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.

Date: 2012
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https://doi.org/10.1155/2012/846852

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:846852

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