Title :
Time-frequency based distance and divergence measures
Author :
Michel, Olivier ; Baraniuk, Richad G. ; Flandrin, Patrick
Author_Institution :
Lab. de Phys., Ecole Normale Superieure de Lyon, France
Abstract :
A study of the phase and amplitude sensitivity of the Renyi (1961) 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 this with an example of detecting a signal in additive noise
Keywords :
entropy; noise; sensitivity; signal detection; statistical analysis; time-frequency analysis; Jensen-like divergence measure; Renyl entropy; additive noise; amplitude sensitivity; divergence measures; phase sensitivity; positive definite TFD; signal detection; time-frequency based detection; time-frequency distributions; time-frequency information measure; Additive noise; Electric variables measurement; Energy measurement; Entropy; Gain measurement; Measurement units; Particle measurements; Phase measurement; Signal detection; Time frequency analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467363
