DocumentCode :
1267092
Title :
On the existence of discrete Wigner distributions
Author :
O´Neill, Jeffrey C. ; Flandrin, Patrick ; Williams, William J.
Author_Institution :
Lernout & Hauspie Speech Products, Burlington, MA, USA
Volume :
6
Issue :
12
fYear :
1999
Firstpage :
304
Lastpage :
306
Abstract :
Among the myriad of time-frequency distributions, the Wigner distribution stands alone in satisfying many desirable mathematical properties. 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.
Keywords :
Wigner distribution; signal processing; time-frequency analysis; discrete Wigner distributions; discrete signals; signal analysis; time-frequency distributions; Distributed computing; Fourier transforms; Signal processing; Spectrogram; Speech; Time frequency analysis;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/97.803429
Filename :
803429
Link To Document :
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