TIME-FREQUENCY COMPLEXITY AND INFORMATION

P. Flandrin, R.G. Baraniuk and O. Michel
ENS-Lyon and Rice University

Many functions have been proposed for estimating signal information 
content and complexity on the time-frequency plane, including 
moment-based measures such as the time-bandwidth product and the 
Shannon and Renyi entropies.  When applied to a time-frequency 
representation from Cohen's class, the Renyi entropy conforms 
closely to the visually based notion of complexity that we use 
when inspecting time-frequency images.  A detailed discussion 
reveals many of the desirable properties of the Renyi information 
measure for both deterministic and random signals.

Presented at ICASSP 1995 in Adelaide, Australia