Discrete-time, discrete-frequency time-frequency representations

Authors:
M. S. Richman;T. W. Parks;R. G. Shenoy
Affiliations:
Cornell Univ., Ithaca, NY, USA;Cornell Univ., Ithaca, NY, USA;Dept. of Inf. Eng., Ryukyus Univ., Okinawa, Japan
Venue:
ICASSP '95 Proceedings of the Acoustics, Speech, and Signal Processing, 1995. on International Conference - Volume 02
Year:
1995

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Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis

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Abstract

A discrete-time, discrete-frequency Wigner distribution is derived using a group-theoretic approach. It is based upon a study of the Heisenberg group generated by the integers mod N, which represents the group of discrete-time and discrete-frequency shifts. The resulting Wigner distribution satisfies several desired properties. An example demonstrates that it is a full-band time-frequency representation, and, as such, does not require special sampling techniques to suppress aliasing. It also exhibits some interesting and unexpected interference properties. The new distribution is compared with other discrete-time, discrete-frequency Wigner distributions proposed in the literature.