Title: A Generalized Poor-Verdu Error Bound for Multihypothesis Testing
Authors: Chen, Po-Ning
Alajaji, Fady
電子物理學系
Department of Electrophysics
Keywords: Channel reliability function;converse channel coding theorems;hypothesis testing;maximum-a-posteriori estimation;probability of error
Issue Date: 1-Jan-2012
Abstract: A lower bound on the minimum error probability for multihypothesis testing is established. The bound, which is expressed in terms of the cumulative distribution function of the tilted posterior hypothesis distribution given the observation with tilting parameter theta >= 1, generalizes an earlier bound due the Poor and Verdu (1995). A sufficient condition is established under which the new bound (minus a multiplicative factor) provides the exact error probability asymptotically in theta. Examples illustrating the new bound are also provided.
URI: http://dx.doi.org/10.1109/TIT.2011.2171533
http://hdl.handle.net/11536/15331
ISSN: 0018-9448
DOI: 10.1109/TIT.2011.2171533
Journal: IEEE TRANSACTIONS ON INFORMATION THEORY
Volume: 58
Issue: 1
Begin Page: 311
End Page: 316
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