Proof of a Conjecture on the Supports of Wigner Distributions

Journal of Fourier Analysis and Applications

Volumn 4, Issue 6, 1998, Pages 723-726

  Janssen, A J E M ^a  

^a PHILIPS RESEARCH LABORATORIES   (Netherlands)

Author keywords

Ambiguity function; Uncertainty principle; Wigner distribution

Indexed keywords

EID: 1842766251     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02479675     Document Type: Article

References (9)

1. Benedicks, M. (1985). On Fourier transforms of functions supported on sets of finite Lebesgue measure, J. Math. Anal. Appl., 106, 180-183.
2. Folland, G.B. and Sitaram, A. (1997). The uncertainty principle: a mathematical survey, J. Fourier Anal. Appl., 3, 207-238.
3. Folland, G.B. (1989). Harmonic Analysis in Phase Space, Princeton University Press, Princeton, NJ.
4. Janssen, A.J.E.M. (1982). On the locus and spread of pseudo-density functions in the time-frequency plane, Philips J. Res., 37, 79-110.
5. Siebert, W.M. (1958). Studies of Woodward's uncertainty function, Quarterly Progress Report, Electronics Research Lab., M.I.T., Cambridge, MA., April 15, 90-94.
6. Hlawatsch, F. (1986). Notes on bilinear time-frequency signal representations, Technical Report, Institut für Nachrichtentechnik und Hochfrequenztechnik, TU Wien, Vienna, Austria, December.
7. Hlawatsch, F. (1988). A study of bilinear time-frequency signal representations, with applications to time-frequency signal synthesis, Ph.D. thesis, TU Wien, Vienna, Austria, May.
8. Hlawatsch, F. (1992). Regularity and unitarity of bilinear time-frequency signal representations, IEEE Trans. Inform. Theory, 38, 82-94.
9. Nuttall, A.H. (1990). Two-dimensional convolutions, correlations, and Fourier transforms of combinations of Wigner distribution functions and complex ambiguity functions, NUSC Technical Report 8759.