A Derivation of the Source-Channel Error Exponent Using Nonidentical Product Distributions

Author

Tauste Campo, Adria ; Vazquez-Vilar, Gonzalo ; Guillen i Fabregas, Albert ; Koch, Thorsten ; Martinez, A.

Author_Institution

Dept. of Inf. & Commun. Technol., Univ. Pompeu Fabra, Barcelona, Spain

Volume

60

Issue

6

fYear

2014

fDate

Jun-14

Firstpage

3209

Lastpage

3217

Abstract

This paper studies the random-coding exponent of joint source-channel coding for a scheme where source messages are assigned to disjoint subsets (referred to as classes), and codewords are independently generated according to a distribution that depends on the class index of the source message. For discrete memoryless systems, two optimally chosen classes and product distributions are found to be sufficient to attain the sphere-packing exponent in those cases where it is tight.

Keywords

combined source-channel coding; set theory; discrete memoryless system; joint source-channel coding; nonidentical product distribution; random-coding exponent; source-channel error exponent derivation; sphere-packing exponent; Channel coding; Error probability; Joints; Probability distribution; Reliability; Upper bound; Joint source-channel coding; product distributions; random coding; reliability function; sphere-packing bound;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2014.2315818

Filename

6803047