Periodic wavelet frames and time-frequency localization

Elena A. Lebedeva; Jürgen Prestin

doi:10.1016/j.acha.2014.02.002

Periodic wavelet frames and time-frequency localization

Elena A. Lebedeva^*, Jürgen Prestin

^*Corresponding author for this work

Institute of Mathematics

St. Petersburg University

9 Citations (Scopus)

Abstract

A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.

Original language	English
Journal	Applied and Computational Harmonic Analysis
Volume	37
Issue number	2
Pages (from-to)	347-359
Number of pages	13
ISSN	1063-5203
DOIs	https://doi.org/10.1016/j.acha.2014.02.002
Publication status	Published - 01.01.2014

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title = "Periodic wavelet frames and time-frequency localization",

abstract = "A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.",

author = "Lebedeva, {Elena A.} and J{\"u}rgen Prestin",

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T1 - Periodic wavelet frames and time-frequency localization

AU - Lebedeva, Elena A.

AU - Prestin, Jürgen

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N2 - A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.

AB - A family of Parseval periodic wavelet frames is constructed. The family has optimal time-frequency localization (in the sense of the Breitenberger uncertainty constant) with respect to a family parameter and it has the best currently known localization with respect to a multiresolution analysis parameter.

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U2 - 10.1016/j.acha.2014.02.002

DO - 10.1016/j.acha.2014.02.002

M3 - Letters

AN - SCOPUS:84903280058

SN - 1063-5203

VL - 37

SP - 347

EP - 359

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

IS - 2

ER -

Periodic wavelet frames and time-frequency localization

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