Time-frequency based distance and divergence measures

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.<
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