Conditional and joint positive time-frequency distributions: a brief overview

Patrick Loughlin

doi:10.1117/12.845988

2 September 2009 Conditional and joint positive time-frequency distributions: a brief overview

Patrick Loughlin

Proceedings Volume 7444, Mathematics for Signal and Information Processing; 74440Y (2009) https://doi.org/10.1117/12.845988
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

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.

Citation Download Citation

Patrick Loughlin "Conditional and joint positive time-frequency distributions: a brief overview", Proc. SPIE 7444, Mathematics for Signal and Information Processing, 74440Y (2 September 2009); https://doi.org/10.1117/12.845988

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available