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
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;
Journal_Title :
Signal Processing Letters, IEEE