Windowed linear canonical transform and its applications

被引：64
|
作者：
Kou, Kit-Ian [1 ]
Xu, Rui-Hui [1 ]
机构：
[1] Univ Macau, Fac Sci & Technol, Dept Math, Macau, Peoples R China
来源：
SIGNAL PROCESSING | 2012年 / 92卷 / 01期
关键词：
Linear canonical transform; Windowed Fourier transform; Poisson summation formula; Sampling formula; Series expansions; FRACTIONAL FOURIER DOMAINS;
D O I：
10.1016/j.sigpro.2011.07.002
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, we generalize the windowed Fourier transform to the windowed linear canonical transform by substituting the Fourier transform kernel with the linear canonical transform kernel in the windowed Fourier transform definition. It offers local contents, enjoys high resolution, and eliminates cross terms. Some useful properties of the windowed linear canonical transform are derived. Those include covariance property, orthogonality property and inversion formulas. As applications analogues of the Poisson summation formula, sampling formulas and series expansions are given. (C) 2011 Elsevier B.V. All rights reserved.
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页码：179 / 188
页数：10
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