Optimal functions for a periodic uncertainty principle and multiresolution analysis

Jürgen Prestin; Ewald Quak

Optimal functions for a periodic uncertainty principle and multiresolution analysis

Jürgen Prestin^*, Ewald Quak

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

Institut für Mathematik

SINTEF Applied Mathematics

25 Zitate (Scopus)

Abstract

In this paper, it is shown that certain Theta functions are asymptotically optimal for the periodic time frequency uncertainty principle described by Breitenberger in [3J. These extremal functions give rise to a periodic multiresolution analysis where the corresponding wavelets also show similar localization properties.

Originalsprache	Englisch
Zeitschrift	Proceedings of the Edinburgh Mathematical Society
Jahrgang	42
Ausgabenummer	2
Seiten (von - bis)	225-242
Seitenumfang	18
ISSN	0013-0915
Publikationsstatus	Veröffentlicht - 01.12.1999

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• Research of the authors supported by NATO CRG Programme, Grant No 950681.

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AU - Quak, Ewald

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Optimal functions for a periodic uncertainty principle and multiresolution analysis

Abstract

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