Renyi information for extracting features from TFDs

William J. Williams

doi:10.1117/12.448691

20 November 2001 Renyi information for extracting features from TFDs

William J. Williams

Proceedings Volume 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI; (2001) https://doi.org/10.1117/12.448691
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

Introduction of Renyi information to time-frequency analysis occurred in 1991, by Williams et al at SPIE. The Renyi measure provides a single objective indication of the complexity of a signal as reflected in its time-frequency representation. The Gabor logon is the minimum complexity signal and its informational value is zero bits. All other signals exhibit increased Renyi information. Certain time-frequency distributions are information invariant, meaning that their Renyi information does not change under time-shift, frequency shift and scale changes. The Reduced Interference Distributions are information invariant. Thus a given signal within that class will always have the same Renyi result. This can be used to survey large data sequences in order to isolate certain types of signals. One application is to extract instances of such a signal from a streaming RID representation. Examples for temporomandibular joint clicks are provided.

Citation Download Citation

William J. Williams "Renyi information for extracting features from TFDs", Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); https://doi.org/10.1117/12.448691

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