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Multi-Class Cost-Constrained Random Coding for Correlated Sources over the Multiple-Access Channel.

Published version
Peer-reviewed

Type

Article

Change log

Authors

Guillén I Fàbregas, Albert  ORCID logo  https://orcid.org/0000-0003-2795-1124

Abstract

This paper studies a generalized version of multi-class cost-constrained random-coding ensemble with multiple auxiliary costs for the transmission of N correlated sources over an N-user multiple-access channel. For each user, the set of messages is partitioned into classes and codebooks are generated according to a distribution depending on the class index of the source message and under the constraint that the codewords satisfy a set of cost functions. Proper choices of the cost functions recover different coding schemes including message-dependent and message-independent versions of independent and identically distributed, independent conditionally distributed, constant-composition and conditional constant composition ensembles. The transmissibility region of the scheme is related to the Cover-El Gamal-Salehi region. A related family of correlated-source Gallager source exponent functions is also studied. The achievable exponents are compared for correlated and independent sources, both numerically and analytically.

Description

Keywords

correlated sources, error exponents, multiple access channel, random coding

Journal Title

Entropy (Basel)

Conference Name

Journal ISSN

1099-4300
1099-4300

Volume Title

23

Publisher

MDPI AG
Sponsorship
European Research Council (725411)
ERC Grant ITUL