Computer Science – Information Theory
Scientific paper
2011-03-26
Computer Science
Information Theory
64 pages, 7 figures, submitted to IEEE Trans. on Information Theory
Scientific paper
Consider the simultaneous relay channel which consists of a set of relay channels where the source wishes to transmit common and private information to each of the destinations. This problem is recognized as being equivalent to that of sending common and private information to several destinations in presence of helper relays where each channel outcome becomes a branch of the broadcast relay channel (BRC). Cooperative schemes and capacity region for a set of two relay channels are investigated. The proposed coding schemes, based on Decode-and-Forward (DF) and Compress-and-Forward (CF), must be capable of transmitting information simultaneously to all destinations in such set. Inner bounds on the capacity region of the general BRC are based on three cases. First the channels from source-to-relays of both destinations are assumed to be stronger than the others and the cooperation is based on DF strategy for both users (DF-DF region), secondly the channels from relay-to-destination of both destinations are assumed to be stronger than the others and the cooperation is based on CF strategy for both users (CF-CF region), and finally the channel from source-to-relay of one destination is assumed to be stronger than the others while for the other one is the channel from relay-to-destination and the cooperation is based on DF strategy for one destination and CF for the other one (DF-CF region). An outer bound on the capacity region of the general BRC is also derived. Capacity results are obtained for specific cases of semi-degraded and degraded Gaussian simultaneous relay channels. Rate regions are computed for Gaussian models where the source must guarantee a minimum amount of information to both users while additional information is sent to each of them. Application of these results arise in the context of cooperative cellular networks.
Behboodi Arash
Piantanida Pablo
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