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.
Translated title of the contributionПринцип неопределённости с учётом направлений для периодических функций
Original languageEnglish
Pages (from-to)1489-1515
JournalMultidimensional Systems and Signal Processing
Volume30
Issue number3
Early online date24 Aug 2019
DOIs
StatePublished - 2019

    Scopus subject areas

  • Software
  • Signal Processing
  • Information Systems
  • Hardware and Architecture
  • Computer Science Applications
  • Artificial Intelligence
  • Applied Mathematics

    Research areas

  • Discrete signals, Periodic functions, Uncertainty principle, Uncertainty product, Wavelets

ID: 35499258