Computer Science – Information Theory
Scientific paper
2012-02-02
Computer Science
Information Theory
14 pages. Major revision. Detailed Examples 1 and 2 and fixed some major typos
Scientific paper
The problem of maximum rate achievable with analog network coding for a unicast communication over a layered relay network with directed links is considered. A relay node performing analog network coding scales and forwards the signals received at its input. Recently this problem has been considered under two assumptions: (A) each relay node scales its received signal to the upper bound of its transmit power constraint, (B) the relay nodes in specific subsets of the network operate in the high-SNR regime. We establish that the assumption (A), in general, leads to suboptimal end-to-end rate. We also characterize the performance of analog network coding in a wide class of layered networks without the assumption (B). The key contribution of this work is a lemma that states that a globally optimal set of scaling factors for the nodes in a layered relay network that maximizes the end-to-end rate can be computed layer-by-layer. Specifically, a rate-optimal set of scaling factors for the nodes in a layer is the one that maximizes the sum-rate of the nodes in the next layer. This critical insight allows us to characterize analog network coding performance in network scenarios beyond those that can be analyzed using the existing approaches. We illustrate this by computing the maximum rate achievable with analog network coding in one particular layered network, in various communication scenarios.
Agnihotri Samar
Chen Minghua
Jaggi Sidharth
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