On the frame bounds of iterated filter banks

Ilker Bayram, Ivan W. Selesnick

Research output: Contribution to journalLetter

Abstract

We investigate the frame bounds of iterated non-perfect reconstruction filter banks. We provide frame bounds valid for iterated FBs with an arbitrary number of stages using the frame bounds of the underlying frame on the real line. Conversely, given the frame bounds of the iterated FB, we derive bounds for the underlying wavelet frame.

Original languageEnglish (US)
Pages (from-to)255-262
Number of pages8
JournalApplied and Computational Harmonic Analysis
Volume27
Issue number2
DOIs
StatePublished - Sep 2009

Keywords

  • Frame bounds
  • Iterated filter bank
  • Wavelet filter bank

ASJC Scopus subject areas

  • Applied Mathematics

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