Wigner distributions (nearly) everywhere: time-frequency analysis of signals, systems, random processes, signal spaces, and frames

被引:62
|
作者
Matz, G [1 ]
Hlawatsch, F [1 ]
机构
[1] Vienna Univ Technol, Inst Commun & Radio Freuency Engn, A-1040 Vienna, Austria
关键词
time-frequency analysis; Wigner distribution; Weyl symbol; multidimensional vector signals; nonstationary random processes; linear time-varying systems; linear signal spaces; frames;
D O I
10.1016/S0165-1684(03)00086-0
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
The Wigner distribution (WD) is perhaps the most prominent quadratic time-frequency signal representation. In this paper, which has mainly tutorial character but also contains some new results, we describe extensions of the WD concept to multidimensional vector signals, nonstationary random processes, linear time-varying systems (deterministic and random), linear signal spaces, and frames. We discuss the interpretation and properties of these WD extensions and various relations connecting them. Some application examples are also provided. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:1355 / 1378
页数:24
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