A directional uncertainty principle for periodic functions

Aleksandr Krivoshein; Elena Lebedeva; Jürgen Prestin

doi:10.1007/s11045-018-0613-1

A directional uncertainty principle for periodic functions

Aleksandr Krivoshein^*, Elena Lebedeva, Jürgen Prestin

^*Corresponding author for this work

Institute of Mathematics

St. Petersburg University

Abstract

In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions and multivariate discrete signals. It measures a localization of a signal along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.

Original language	English
Journal	Multidimensional Systems and Signal Processing
ISSN	0923-6082
DOIs	https://doi.org/10.1007/s11045-018-0613-1
Publication status	Published - 01.01.2018

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title = "A directional uncertainty principle for periodic functions",

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AU - Krivoshein, Aleksandr

AU - Lebedeva, Elena

AU - Prestin, Jürgen

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N2 - In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions and multivariate discrete signals. It measures a localization of a signal along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.

AB - In this paper we introduce a notion of a directional uncertainty product for multivariate periodic functions and multivariate discrete signals. It measures a localization of a signal along a particular direction. We study properties of the uncertainty product and give an example of well localized multivariate periodic Parseval wavelet frames.

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DO - 10.1007/s11045-018-0613-1

M3 - Journal articles

AN - SCOPUS:85052926682

SN - 0923-6082

JO - Multidimensional Systems and Signal Processing

JF - Multidimensional Systems and Signal Processing

ER -

A directional uncertainty principle for periodic functions

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