標題: A Generalized Poor-Verdu Error Bound for Multihypothesis Testing
作者: Chen, Po-Ning
Alajaji, Fady
電子物理學系
Department of Electrophysics
關鍵字: Channel reliability function;converse channel coding theorems;hypothesis testing;maximum-a-posteriori estimation;probability of error
公開日期: 1-Jan-2012
摘要: 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
期刊: IEEE TRANSACTIONS ON INFORMATION THEORY
Volume: 58
Issue: 1
起始頁: 311
結束頁: 316
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