Biorthogonal unconditional bases of compactly supported matrix valued wavelets

K. Slavakis, I. Yamada

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In this paper, we introduce the concept of biorthogonal matrix valued wavelets. We elaborate on perfect reconstruction matrix filter banks which are assembled by matrix FIR filters and we deduce that the resulting matrix valued wavelet functions have compact support. Moreover, we form biorthogonal unconditional bases for the space of matrix valued signals. To validate the theory, a class of biorthogonal and orthonormaI matrix valued wavelets are given. The connection of the present scheme with the theory of multiwavelets are also explored.

Original languageEnglish (US)
Pages (from-to)223-253
Number of pages31
JournalNumerical Functional Analysis and Optimization
Volume22
Issue number1-2
DOIs
StatePublished - Feb 1 2001

Keywords

  • Biorthogonal matrix valued wavelets
  • Compact support
  • Multiwavelets
  • Unconditional basis

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