Extremes of error exponents

This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity C and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for othe...

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Detalles Bibliográficos
Autores: Guillén i Fábregas, A. (Albert), Land, Ingmar, Martínez, Alfonso, 1973-
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2013
País:España
Institución:Universitat Pompeu Fabra
Repositorio:Repositorio Digital de la UPF
OAI Identifier:oai:repositori.upf.edu:10230/36018
Acceso en línea:http://hdl.handle.net/10230/36018
http://dx.doi.org/10.1109/TIT.2012.2233271
Access Level:acceso abierto
Palabra clave:Bhattacharyya parameter
Channel capacity
Channel dispersion
Cutoff rate
Discrete memoryless channels
Error exponents
Error probability
Random coding
Symmetric channels
Descripción
Sumario:This paper determines the range of feasible values of standard error exponents for binary-input memoryless symmetric channels of fixed capacity C and shows that extremes are attained by the binary symmetric and the binary erasure channel. The proof technique also provides analogous extremes for other quantities related to Gallager's E 0 function, such as the cutoff rate, the Bhattacharyya parameter, and the channel dispersion.