Physics
Scientific paper
Nov 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999spie.3807..610l&link_type=abstract
Proc. SPIE Vol. 3807, p. 610-624, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, Franklin T. Luk;
Physics
Scientific paper
As with the case of instantaneous frequency, it is often difficult to interpret the instantaneous bandwidth of most signals: both quantities typically range beyond the spectral support of the signal, yielding the paradox that the instantaneous bandwidth (and frequency) can be greater than the global bandwidth of the signal. A new definition of instantaneous frequency that does not suffer from this difficulty has recently been given, and we build on those results here to obtain a new definition of instantaneous bandwidth. Kernel constraints for a Cohen-class time-frequency distribution to yield these new results for its conditional moments are also given.
Davidson Keith L.
Loughlin Patrick J.
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