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Proceedings Paper

Conditional and joint positive time-frequency distributions: a brief overview
Author(s): Patrick Loughlin
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Paper Abstract

We give a brief review of ideas and insights derived from the study and application of positive time-frequency distributions, in the nearly 25 years since their formulation by Cohen, Posch and Zaparovanny. Associated topics discussed include instantaneous frequency and conditional moments, the "time varying spectrum" and joint versus conditional distributions, the uncertainty principle, kernel design, cross terms, AM-FM signal decompositions, among others. Many of the conventionally held ideas in time-frequency analysis are challenged by results from positive time-frequency distributions.

Paper Details

Date Published: 2 September 2009
PDF: 12 pages
Proc. SPIE 7444, Mathematics for Signal and Information Processing, 74440Y (2 September 2009); doi: 10.1117/12.845988
Show Author Affiliations
Patrick Loughlin, Univ. of Pittsburgh (United States)

Published in SPIE Proceedings Vol. 7444:
Mathematics for Signal and Information Processing
Franklin T. Luk; Mark S. Schmalz; Gerhard X. Ritter; Junior Barrera; Jaakko T. Astola, Editor(s)

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