A New Discrete Analytic Signal for Reducing Aliasing in the Discrete Wigner-Ville Distribution

被引:18
|
作者
Toole, John M. O' [1 ]
Mesbah, Mostefa [1 ]
Boashash, Boualem [2 ]
机构
[1] Univ Queensland, Royal Brisbane & Womens Hosp, Perinatal Res Ctr, Brisbane, Qld 4029, Australia
[2] Univ Sharjah, Coll Engn, Sharjah, U Arab Emirates
关键词
Analytic signal; antialiasing; discrete Hilbert transforms; discrete Wigner-Ville distribution (DWVD); time-frequency analysis;
D O I
10.1109/TSP.2008.929325
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
It is not possible to generate an alias-free discrete Wigner-Ville distribution (DWVD) from a discrete analytic signal. This is because the discrete analytic signal must satisfy two mutually exclusive constraints. We present, in this paper, a new discrete analytic signal that improves on the commonly used discrete analytic signal's approximation of these two constraints. Our analysis shows that-relative to the commonly used signal-the proposed signal reduces aliasing in the DWVD by approximately 50%. Furthermore, the proposed signal has a simple implementation and satisfies two important properties, namely, that its real component is equal to the original real signal and that its real and imaginary components are orthogonal.
引用
收藏
页码:5427 / 5434
页数:8
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