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An algorithm for constructing multidimensional biorthogonal periodic multiwavelets

Published online by Cambridge University Press:  20 January 2009

Say Song Goh  and
K. M. Teo
Say Song Goh
Affiliation:
Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore
K. M. Teo
Affiliation:
Hwa Chong Junior College, 661 Bukit Timah Road, Singapore 269734, Republic of Singapore
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Abstract

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This paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines introduced to reduce the problem to a matrix extension problem, and an algorithm for solving the matrix extension problem is derived. Sufficient conditions for collections of periodic multiwavelets to form a pair of biorthogonal Riesz bases of the entire function space are also obtained.

Keywords

multidimensional biorthogonal periodic multiwaveletsmatrix extension
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 3 , October 2000 , pp. 633 - 649
Copyright
Copyright © Edinburgh Mathematical Society 2000

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