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.

中文翻译：

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多访问通道上相关源的多类成本约束随机编码

本文研究的多类别成本约束的随机编码合奏具有用于传输多个辅助成本的一般化版本Ñ超过一个相关源Ñ用户多路访问通道。对于每个用户，将消息集划分为多个类，并根据分布（取决于源消息的类索引）并在代码字满足一组成本函数的约束下，生成代码本。的成本函数选择适当的恢复不同的编码方案，包括独立同分布的，独立的有条件分布，恒定组成和条件恒定组成合奏消息依赖性和消息无关的版本。该方案的可传播区域与Cover-El Gamal-Salehi地区有关。还研究了相关源Gallager源指数函数的相关族。比较了相关来源和独立来源的可实现指数，无论是数值上还是分析上。