Multi-class cost-constrained random coding for correlated sources over the multiple-access channel
Journal article, 2021

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.

Error exponents

Correlated sources, random coding

Multiple access channel


Arezou Rezazadeh

Chalmers, Electrical Engineering, Communication and Antenna Systems, Communication Systems

Josep Font-Segura

University Pompeu Fabra

Alfonso Martinez

University Pompeu Fabra

Albert Guillén I Fàbregas

University Pompeu Fabra

Catalan Institution for Research and Advanced Studies


1099-4300 (ISSN)

Vol. 23 5 569

Subject Categories


Communication Systems

Signal Processing





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