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. (2021). Multi-Class Cost-Constrained Random Coding for Correlated Sources over the Multiple-Access Channel.. https://doi.org/10.3390/e23050569
This paper studies a generalized version of multi-class cost-constrained random-coding ensemble with multiple auxiliary costs for the transmission of <i>N</i> correlated sources over an <i>N</i>-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.
Multiple Access Channel, Correlated Sources, Random Coding, Error Exponents
European Research Council (725411)
Spanish Ministry of Economy and Competitiveness (TEC2016-78434-C3-1-R)
External DOI: https://doi.org/10.3390/e23050569
This record's URL: https://www.repository.cam.ac.uk/handle/1810/324846
Attribution 4.0 International
Licence URL: https://creativecommons.org/licenses/by/4.0/