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

13 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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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",

year = "2014",

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doi = "10.1016/j.acha.2014.02.002",

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T1 - Periodic wavelet frames and time-frequency localization

AU - Lebedeva, Elena A.

AU - Prestin, Jürgen

PY - 2014/1/1

Y1 - 2014/1/1

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.

UR - https://www.scopus.com/pages/publications/84903280058

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

Abstract

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