DocumentCode :
1186868
Title :
Minimum entropy time-frequency distributions
Author :
Aviyente, Selin ; Williams, William J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA
Volume :
12
Issue :
1
fYear :
2005
Firstpage :
37
Lastpage :
40
Abstract :
Re´nyi entropy has been proposed as an effective measure of signal information content and complexity on the time-frequency plane. The previous work concerning Re´nyi entropy in the time-frequency plane has focused on measuring the complexity of a given deterministic signal. In this paper, the properties of Re´nyi entropy for random signals are examined. The upper and lower bounds on the expected value of Re´nyi entropy are derived and ways of minimizing the entropy of time-frequency distributions by putting constraints on the time-frequency kernel are explored. It is proven that the quasi-Wigner kernel has the minimum entropy among all positive time-frequency kernels with finite time-support and correct marginals. A general class of minimum entropy kernels is presented. The performance of minimum entropy kernels in signal representation and component counting is also demonstrated.
Keywords :
Wigner distribution; minimum entropy methods; signal representation; time-frequency analysis; minimum Renyi entropy; quasiWigner kernel; random signals; signal information content; signal representation; time-frequency distributions; Density functional theory; Density measurement; Design methodology; Entropy; Iterative methods; Kernel; Probability distribution; Signal processing; Signal representations; Time frequency analysis;
fLanguage :
English
Journal_Title :
Signal Processing Letters, IEEE
Publisher :
ieee
ISSN :
1070-9908
Type :
jour
DOI :
10.1109/LSP.2004.839696
Filename :
1369269
Link To Document :
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