Time-frequency based distance and divergence measures

Olivier Michel; Richard G. Baraniuk; Patrick Flandrin

Time-frequency based distance and divergence measures

Olivier Michel, Richard G. Baraniuk, Patrick Flandrin

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

31 Scopus citations

Abstract

A study of the phase and amplitude sensitivity of the recently proposed Renyi time-frequency information measure leads to the introduction of a new `Jensen-like' divergence measure. While this quantity promises to be a useful indicator of the distance between two time-frequency distributions, it is limited to the analysis of positive definite TFDs. In spite of this rather severe limitation, this measure could prove useful for time-frequency based detection. We illustrate with an example of detecting a signal in additive noise.

Original language	English
Title of host publication	Unknown Host Publication Title
Editors	Anon
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	64-67
Number of pages	4
State	Published - Dec 1 1994
Event	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis - Philadelphia, PA, USA Duration: Oct 25 1994 → Oct 28 1994

Other

Other	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
City	Philadelphia, PA, USA
Period	10/25/94 → 10/28/94

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Time-frequency based distance and divergence measures",

abstract = "A study of the phase and amplitude sensitivity of the recently proposed Renyi time-frequency information measure leads to the introduction of a new `Jensen-like' divergence measure. While this quantity promises to be a useful indicator of the distance between two time-frequency distributions, it is limited to the analysis of positive definite TFDs. In spite of this rather severe limitation, this measure could prove useful for time-frequency based detection. We illustrate with an example of detecting a signal in additive noise.",

author = "Olivier Michel and Baraniuk, {Richard G.} and Patrick Flandrin",

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T1 - Time-frequency based distance and divergence measures

AU - Michel, Olivier

AU - Baraniuk, Richard G.

AU - Flandrin, Patrick

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N2 - A study of the phase and amplitude sensitivity of the recently proposed Renyi time-frequency information measure leads to the introduction of a new `Jensen-like' divergence measure. While this quantity promises to be a useful indicator of the distance between two time-frequency distributions, it is limited to the analysis of positive definite TFDs. In spite of this rather severe limitation, this measure could prove useful for time-frequency based detection. We illustrate with an example of detecting a signal in additive noise.

AB - A study of the phase and amplitude sensitivity of the recently proposed Renyi time-frequency information measure leads to the introduction of a new `Jensen-like' divergence measure. While this quantity promises to be a useful indicator of the distance between two time-frequency distributions, it is limited to the analysis of positive definite TFDs. In spite of this rather severe limitation, this measure could prove useful for time-frequency based detection. We illustrate with an example of detecting a signal in additive noise.

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M3 - Conference contribution

AN - SCOPUS:0028698719

SP - 64

EP - 67

BT - Unknown Host Publication Title

A2 - Anon, null

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T2 - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

Y2 - 25 October 1994 through 28 October 1994

ER -

Time-frequency based distance and divergence measures

Abstract

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ASJC Scopus subject areas

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