Discrete-time, discrete-frequency time-frequency representations

  title={Discrete-time, discrete-frequency time-frequency representations},
  author={Michael S. Richman and Thomas W. Parks and Ramachandra G. Shenoy},
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 satis es 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… CONTINUE READING
Highly Cited
This paper has 20 citations. REVIEW CITATIONS


Publications referenced by this paper.
Showing 1-10 of 15 references

Detection of Time-Frequency Concentrated Transient Signals,

  • T. P. Krauss
  • M.S. thesis,
  • 1993
1 Excerpt

Alias free discrete-time Wigner distribution and complex ambiguity function for discretetime samples,

  • A. H. Nuttall
  • Tech. Rep. NUSC Tech. Rep. 8533,
  • 1989
2 Excerpts

Radar ambiguity functions and group theory,

  • L. Auslander, R. Tolimieri
  • SIAM J. Math. Anal.,
  • 1985

Mecklenbr auker, \The Wigner distribution|a tool for time-frequency signal analysis|Part 2: Discrete time signals,

  • W.F.G.T.A.C.M. Claasen
  • Philips J. Res.,
  • 1980
1 Excerpt

Computing with the Finite Fourier Transform Pure or Applied Mathematics?,

  • L. Auslander, R. Tolimieri, Is
  • Bull. Amer. Math. Soc. (N.S.),
  • 1979
1 Excerpt

Fourier Series And Integrals

  • H. Dym, H. P. McKean
  • 1972
1 Excerpt

Similar Papers

Loading similar papers…