Multi-class cost-constrained random coding for correlated sources over the multiple-access channel

Rezazadeh, Arezou; Font Segura, Josep; Martínez, Alfonso, 1973-; Guillén i Fábregas, A. (Albert)

doi:http://dx.doi.org/10.3390/e23050569

Multi-class cost-constrained random coding for correlated sources over the multiple-access channel

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Rezazadeh A, Font-Segura J, Martinez A, Guillén i Fàbregas A. Multi-class cost-constrained random coding for correlated sources over the multiple-access channel. Entropy. 2021;23(5):569. DOI: 10.3390/e23050569

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.