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Time-frequency representations of broad-band signals

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2 Author(s)
J. Bertrand ; Paris VII Univ., France ; P. Bertrand

The usual time-frequency representations corresponding to the group of time and frequency translations are shown to give rise to time-localization anomalies. Instead, the affine group of clock changes is used as the basic group of signal theory, and the general affine covariant joint distributions are considered. A subclass is singled out by its interesting properties: it reduces to Wigner-Ville's function when applied to narrowband signals, it gives the spectrum by time integration, and it is time-localized when applied to a time-localized signal

Published in:

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Date of Conference:

11-14 Apr 1988