Signal synthesis from Cohen's class of bilinear time-frequency signal representations using convex projections

Authors:
L. B. White
Affiliations:
Defence Sci. & Technol. Organ., Salisbury, SA, Australia
Venue:
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Year:
1991

Citing 0
Cited 1

Positive time-frequency distributions via maximum entropy deconvolution of the evolutionary spectrum

ICASSP '93 Proceedings of the Acoustics, Speech, and Signal Processing, 1993. ICASSP-93 Vol 4., 1993 IEEE International Conference on - Volume 04

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Abstract

The author addresses the problem of inverting a general member of the class of bilinear joint time-frequency signal representations introduced by L. Cohen (1966), i.e. obtaining the signal generating a given representation. Necessary and sufficient conditions for the exact inversion are introduced and are shown to be too restrictive to be practically useful. A constrained least-squares approach is formulated, and a solution is given by application of the method of alternating convex projections. The author also considers regularization of the method and examines some extensions of the approach.