## Abstract and Applied Analysis

### Uncertainty Principles for Wigner-Ville Distribution Associated with the Linear Canonical Transforms

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 470459, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412276986

Digital Object Identifier
doi:10.1155/2014/470459

Mathematical Reviews number (MathSciNet)
MR3212428

Zentralblatt MATH identifier
07022440

#### Citation

Li, Yong-Gang; Li, Bing-Zhao; Sun, Hua-Fei. Uncertainty Principles for Wigner-Ville Distribution Associated with the Linear Canonical Transforms. Abstr. Appl. Anal. 2014 (2014), Article ID 470459, 9 pages. doi:10.1155/2014/470459. https://projecteuclid.org/euclid.aaa/1412276986

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