Time-Frequency Based Distance and Divergence Measures
	

Olivier Michel, Richard Baraniuk, and Patrick Flandrin

ENS-Lyon, Laboratoire de Physique (URA 1325 CNRS)
69364 Lyon, France

Department of Electrical and Computer Engineering
Rice University
Houston, TX 77251--1892, USA


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.


Presented at the IEEE Int. Symp. Time-Frequency and
Time-Scale Analysis, Philadelphia, October, 1994.