Error Exponents of Discrete Memoryless Channels Under Small Mismatch
Priyanka Patel, University of Cambridge, United Kingdom; Francesc Molina, Universitat Pompeu Fabra, Spain; Albert Guillén i Fàbregas, University of Cambridge, United Kingdom
Session:
Error Exponents
Track:
9: Error Exponents
Location:
Omikron I
Presentation Time:
Tue, 9 Jul, 14:25 - 14:45
Session Chair:
Albert Guillén i Fàbregas, University of Cambridge
Abstract
This paper investigates achievable error exponents of i.i.d. and constant-composition codes for a decoder whose decoding metric is close to the channel probability law in terms of relative entropy. We derive approximations of the worst- case achievable error exponents as functions of the radius of a small relative entropy ball centered at the decoding metric, and characterize the error terms of the underlying approximations.