We study reliable transmission of arbitrarily correlated sources overmultiple-access relay channels (MARCs) and multiple-access broadcast relaychannels (MABRCs). In MARCs only the destination is interested inreconstructing the sources, while in MABRCs both the relay and the destinationwant to reconstruct them. In addition to arbitrary correlation among the sourcesignals at the users, both the relay and the destination have side informationcorrelated with the source signals. Our objective is to determine whether agiven pair of sources can be losslessly transmitted to the destination for agiven number of channel symbols per source sample, defined as thesource-channel rate. Sufficient conditions for reliable communication based onoperational separation, as well as necessary conditions on the achievablesource-channel rates are characterized. Since operational separation isgenerally not optimal for MARCs and MABRCs, sufficient conditions for reliablecommunication using joint source-channel coding schemes based on a combinationof the correlation preserving mapping technique with Slepian-Wolf source codingare also derived. For correlated sources transmitted over fading Gaussian MARCsand MABRCs, we present conditions under which separation (i.e., separate andstand-alone source and channel codes) is optimal. This is the first timeoptimality of separation is proved for MARCs and MABRCs.
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