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Article

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

1
Department of Electrical Engineering, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
2
Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, Spain
3
Institució Catalana de Recerca i Estudis Avançats, 08010 Barcelona, Spain
4
Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, UK
*
Author to whom correspondence should be addressed.
This work was carried out when the first author was with the Department of Information and Communication Technologies at Universitat Pompeu Fabra.
Academic Editor: Victoria Kostina
Entropy 2021, 23(5), 569; https://doi.org/10.3390/e23050569
Received: 12 April 2021 / Revised: 30 April 2021 / Accepted: 1 May 2021 / Published: 3 May 2021
(This article belongs to the Special Issue Finite-Length Information Theory)
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. View Full-Text
Keywords: multiple access channel; correlated sources; random coding; error exponents multiple access channel; correlated sources; random coding; error exponents
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MDPI and ACS Style

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, 569. https://doi.org/10.3390/e23050569

AMA Style

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. https://doi.org/10.3390/e23050569

Chicago/Turabian Style

Rezazadeh, Arezou, Josep Font-Segura, Alfonso Martinez, and Albert Guillén i Fàbregas. 2021. "Multi-Class Cost-Constrained Random Coding for Correlated Sources over the Multiple-Access Channel" Entropy 23, no. 5: 569. https://doi.org/10.3390/e23050569

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