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• W2562589697 abstract "The multicast capacity of the Gaussian two-hop relay network with one source, $N$ relays, and $L$ destinations is studied. It is shown that a careful modification of the partial decode-forward coding scheme, whereby the relays recover and coherently transmit degraded sets of message parts, achieves the cutset upper bound within $(1/2)log N$ bits regardless of the channel gains and power constraints. This scheme improves upon a previous scheme by Chern and Ozgur, which is also based on partial decode-forward yet has an unbounded gap from the cutset bound for $L ge 2$ destinations. When restricted to noncoherent transmission among the relays, the proposed partial decode-forward scheme achieves a slightly larger gap of $log N$ bits from the cutset bound. The computation of this relaxed achievable rate involves evaluating mutual information across $L(N+1)$ cuts out of the total $L 2^{N}$ possible cuts, providing a very simple linear-complexity algorithm to approximate the single-source multicast capacity of the Gaussian two-hop relay network." @default.
• W2562589697 created "2017-01-06" @default.
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• W2562589697 date "2016-12-01" @default.
• W2562589697 modified "2023-09-27" @default.
• W2562589697 title "Partial Decode-Forward Relaying for the Gaussian Two-Hop Relay Network" @default.
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• W2562589697 doi "https://doi.org/10.1109/tit.2016.2619902" @default.
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