DocumentCode
928586
Title
Renyi´s entropy and the probability of error
Author
Ben-Bassat, Moshe ; Raviv, Josef
Volume
24
Issue
3
fYear
1978
fDate
5/1/1978 12:00:00 AM
Firstpage
324
Lastpage
331
Abstract
The basic properties of Renyi\´s entropy are reviewed, and its concavity properties are characterized. New bounds (referred to as 
bounds) on the probability of error are derived from Renyi\´s entropy and are compared with known bounds. It is proved that for the two-class case, the 
bound is sharper than many of the previously known bounds. The difference between the bound and the real value of the probability of error is at most 0.09.
bounds) on the probability of error are derived from Renyi\´s entropy and are compared with known bounds. It is proved that for the two-class case, the bound is sharper than many of the previously known bounds. The difference between the bound and the real value of the probability of error is at most 0.09.Keywords
Entropy functions; Pattern classification; Entropy; Intersymbol interference; Noise shaping; Process control; Random variables; Sampling methods; Spectral analysis; Stochastic processes; Stochastic resonance; Terminology;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1978.1055890
Filename
1055890
Link To Document