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A directional uncertainty principle for periodic functions. / Krivoshein, Aleksandr ; Lebedeva, Elena ; Prestin, Juergen.

In: Multidimensional Systems and Signal Processing, Vol. 30, No. 3, 2019, p. 1489-1515.

Research output: Contribution to journal › Article › peer-review

Harvard

Krivoshein, A, Lebedeva, E & Prestin, J 2019, 'A directional uncertainty principle for periodic functions', Multidimensional Systems and Signal Processing, vol. 30, no. 3, pp. 1489-1515. https://doi.org/10.1007/s11045-018-0613-1

APA

Krivoshein, A., Lebedeva, E., & Prestin, J. (2019). A directional uncertainty principle for periodic functions. Multidimensional Systems and Signal Processing, 30(3), 1489-1515. https://doi.org/10.1007/s11045-018-0613-1

Vancouver

Krivoshein A, Lebedeva E, Prestin J. A directional uncertainty principle for periodic functions. Multidimensional Systems and Signal Processing. 2019;30(3):1489-1515. https://doi.org/10.1007/s11045-018-0613-1

Author

Krivoshein, Aleksandr ; Lebedeva, Elena ; Prestin, Juergen. / A directional uncertainty principle for periodic functions. In: Multidimensional Systems and Signal Processing. 2019 ; Vol. 30, No. 3. pp. 1489-1515.

BibTeX

@article{f1b477d8bc544a7284a2adf1768ab632,
title = "A directional uncertainty principle for periodic functions",
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. {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",
keywords = "Discrete signals, Periodic functions, Uncertainty principle, Uncertainty product, Wavelets",
author = "Aleksandr Krivoshein and Elena Lebedeva and Juergen Prestin",
year = "2019",
doi = "10.1007/s11045-018-0613-1",
language = "English",
volume = "30",
pages = "1489--1515",
journal = "Multidimensional Systems and Signal Processing",
issn = "0923-6082",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - A directional uncertainty principle for periodic functions

AU - Krivoshein, Aleksandr

AU - Lebedeva, Elena

AU - Prestin, Juergen

PY - 2019

Y1 - 2019

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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

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. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

KW - Discrete signals

KW - Periodic functions

KW - Uncertainty principle

KW - Uncertainty product

KW - Wavelets

UR - http://www.scopus.com/inward/record.url?scp=85052926682&partnerID=8YFLogxK

U2 - 10.1007/s11045-018-0613-1

DO - 10.1007/s11045-018-0613-1

M3 - Article

VL - 30

SP - 1489

EP - 1515

JO - Multidimensional Systems and Signal Processing

JF - Multidimensional Systems and Signal Processing

SN - 0923-6082

IS - 3

ER -

ID: 35499258