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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

St. Petersburg University

9 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Applied and Computational Harmonic Analysis
Jahrgang	37
Ausgabenummer	2
Seiten (von - bis)	347-359
Seitenumfang	13
ISSN	1063-5203
DOIs	https://doi.org/10.1016/j.acha.2014.02.002
Publikationsstatus	Veröffentlicht - 01.01.2014

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10.1016/j.acha.2014.02.002

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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",

year = "2014",

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AU - Lebedeva, Elena A.

AU - Prestin, Jürgen

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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

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SP - 347

EP - 359

JO - Applied and Computational Harmonic Analysis

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Periodic wavelet frames and time-frequency localization

Abstract

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