Time-frequency representations of broad-band signals
- 6 January 2003
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 15206149,p. 2196-2199
- https://doi.org/10.1109/icassp.1988.197070
Abstract
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.< >Keywords
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