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Geometry of Affine Time–Frequency Distributions

✍ Scribed by Patrick Flandrin; Paulo Goncalvès

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
868 KB
Volume
3
Category
Article
ISSN
1063-5203

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✦ Synopsis

Bertrands' bilinear affine time-frequency distributions are considered from the point of view of their geometry in the timefrequency plane. General construction rules are established for interference terms, with further interpretations in terms of localization properties, generalized means and symmetries. In the case of frequency modulated signals, it is shown how the pointwise application of these rules can be refined by the study of a critical manifold and stationary phase-type approximations. Theoretical results are supported by both analytical and numerical examples.

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