Biorthogonal bases of compactly supported matrix valued wavelets

Konstantinos Slavakis, Isao Yamada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

We introduce the concept of biorthogonal bases of compactly supported matrix valued wavelets and examine the feasibility of their construction. Initially, we assume matrix filter banks assembled by FIR filters such that the perfect reconstruction property for matrix valued signals holds. Without admitting commutativity of any matrix multiplications and by imposing further conditions on the lowpass parts of the matrix filter banks, we construct compactly supported matrix valued wavelet functions that constitute biorthogonal Riesz bases for the matrix valued L2/(R, CN times/N/) signal space. To validate our design, we provide a class of biorthogonal compactly supported matrix valued wavelet bases. As a special case, a class of orthonormal compactly supported matrix valued wavelets is also constructed, which in turn leads to regular multiwavelet functions that possess symmetry, compact support and orthogonality properties.

Original languageEnglish (US)
Title of host publicationISSPA 1999 - Proceedings of the 5th International Symposium on Signal Processing and Its Applications
PublisherIEEE Computer Society
Pages981-985
Number of pages5
ISBN (Print)1864354518, 9781864354515
DOIs
StatePublished - Jan 1 1999
Event5th International Symposium on Signal Processing and Its Applications, ISSPA 1999 - Brisbane, QLD, Australia
Duration: Aug 22 1999Aug 25 1999

Publication series

NameISSPA 1999 - Proceedings of the 5th International Symposium on Signal Processing and Its Applications
Volume2

Other

Other5th International Symposium on Signal Processing and Its Applications, ISSPA 1999
CountryAustralia
CityBrisbane, QLD
Period8/22/998/25/99

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