Uncertainty principles for Wigner-Ville distribution associated with the linear canonical transforms
type: Item
instance of: scholarly article
title: Uncertainty principles for Wigner-Ville distribution associated with the linear canonical transforms
zbMATH Open document ID: 1472.42009
DOI: 10.1155/2014/470459
author: Yonggang Li
author: Bing-Zhao Li
author: Huafei Sun
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The Heisenberg uncertainty principle of harmonic analysis plays an important role in modern applied mathematical applications, signal processing and physics community. The generalizations and extensions of the classical uncertainty principle to the novel transforms are becoming one of the most hottest research topics recently. In this paper, we firstly obtain the uncertainty principle for Wigner-Ville distribution and ambiguity function associate with the linear canonical transform, and then the \(n\)-dimensional cases are investigated in detail based on the proposed Heisenberg uncertainty principle of the \(n\)-dimensional linear canonical transform.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 7022440
zbMATH Keywords: Heisenberg uncertainty principle of harmonic analysis
zbMATH Keywords: fractional Fourier transform
zbMATH Keywords: Wigner-Ville distributions
MaRDI profile type: Publication
Wikidata QID: Q59038512
full work available at URL: https://doi.org/10.1155/2014/470459
OpenAlex ID: W2146214471
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description: scientific article; zbMATH DE number 7022440