On the existence of discrete Wigner distributions

被引:49
作者
O'Neill, JC [1 ]
Flandrin, P
Williams, WJ
机构
[1] Lernout & Hauspie Speech Prod, Burlington, MA 01803 USA
[2] Ecole Normale Super Lyon, F-69364 Lyon 07, France
[3] Univ Michigan, Ann Arbor, MI 48109 USA
关键词
D O I
10.1109/97.803429
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
Among the myriad of time-frequency distributions, the Wigner distribution stands alone in satisfying many desirable mathematical propel ties. Attempts to extend definitions of the Wigner distribution to discrete signals have not been completely successful. In this letter, we propose an alternative definition for the Wigner distribution, which has a clear extension to discrete signals. Under this definition, we show that the Wigner distribution does not exist for certain classes of discrete signals.
引用
收藏
页码:304 / 306
页数:3
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