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Generalized cutoff rates and Renyi's information measures

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1 Author(s)
I. Csiszar ; Math. Inst., Hungarian Acad. of Sci., Budapest, Hungary

Renyi's (1961) entropy and divergence of order a are given operational characterizations in terms of block coding and hypothesis testing, as so-called β-cutoff rates, with α=(1+β)-1 for entropy and α=(1-β)-1 for divergence. Out of several possible definitions of mutual information and channel capacity of order α, our approach distinguishes one that admits an operational characterization as β-cutoff rate for channel coding, with α=(1-β)-1. The ordinary cutoff rate of a DMC corresponds to β=-1

Published in:

IEEE Transactions on Information Theory  (Volume:41 ,  Issue: 1 )