On the frame bounds of iterated filter banks

Ilker Bayram; Ivan W. Selesnick

doi:10.1016/j.acha.2009.02.005

On the frame bounds of iterated filter banks

Ilker Bayram, Ivan W. Selesnick

Electrical and Computer Engineering

Research output: Contribution to journal › Letter › peer-review

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 language	English (US)
Pages (from-to)	255-262
Number of pages	8
Journal	Applied and Computational Harmonic Analysis
Volume	27
Issue number	2
DOIs	https://doi.org/10.1016/j.acha.2009.02.005
State	Published - Sep 2009

Keywords

Frame bounds
Iterated filter bank
Wavelet filter bank

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.acha.2009.02.005

Cite this

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title = "On the frame bounds of iterated filter banks",

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.",

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AB - 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.

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KW - Wavelet filter bank

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On the frame bounds of iterated filter banks

Abstract

Keywords

ASJC Scopus subject areas

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