Wigner-Ville distribution associated with the linear canonical transform
type: Item
instance of: scholarly article
title: Wigner-Ville distribution associated with the linear canonical transform
zbMATH Open document ID: 1251.94012
DOI: 10.1155/2012/740161
author: Rui-Feng Bai
author: Bing-Zhao Li
author: Qi-Yuan Cheng
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The linear canonical transform is shown to be one of the most powerful tools for nonstationary signal processing. Based on the properties of the linear canonical transform and the classical Wigner-Ville transform, this paper investigates the Wigner-Ville distribution in the linear canonical transform domain. Firstly, unlike the classical Wigner-Ville transform, a new definition of Wigner-Ville distribution associated with the linear canonical transform is given. Then, the main properties of the newly defined Wigner-Ville transform are investigated in detail. Finally, the applications of the newly defined Wigner-Ville transform in the linear-frequency-modulated signal detection are proposed, and the simulation results are also given to verify the derived theory.
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 6106302
zbMATH Keywords: linear canonical transform
zbMATH Keywords: classical Wigner-Ville transform
Wikidata QID: Q58907265
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/740161
OpenAlex ID: W2122632264
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DBLP publication ID: journals/jam/BaiLC12
description: scientific article; zbMATH DE number 6106302