Entropy based detection on the time-frequency plane
Selin Aviyente, William J. Williams · 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). · 2004
A comprehensive theory for time-frequency based signal detection has been developed during the past decade. The time-frequency detectors proposed in the literature are linear structures operating on the time-frequency representation of the signals and are equivalent to quadratic receivers that are defined in the time domain. We introduce the concept of entropy based detection on the time-frequency plane. In recent years, Renyi entropy has been proposed as an effective measure for quantifying signal complexity on the time-frequency plane and some important properties of this measure have been proven. A new approach that uses the entropy functional as the test statistic for signal detection is developed. A minimum error detection algorithm is derived and the performance of this new signal detection method is demonstrated through examples.