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Optimal capacity relay node placement in a multi-hop network on a line

Chattopadhyay, Arpan and Sinha, Abhishek and Coupechoux, Marceau and Kumar, Anurag (2012) Optimal capacity relay node placement in a multi-hop network on a line. In: 2012 10th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks (WiOpt), 14-18 May 2012, Paderborn, Germany.

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Abstract

We use information theoretic achievable rate formulas for the multi-relay channel to study the problem of optimal placement of relay nodes along the straight line joining a source node and a destination node. The achievable rate formulas that we utilize are for full-duplex radios at the relays and decode-and-forward relaying. For the single relay case, and individual power constraints at the source node and the relay node, we provide explicit formulas for the optimal relay location and the optimal power allocation to the source-relay channel, for the exponential and the power-law path-loss channel models. For the multiple relay case, we consider exponential path-loss and a total power constraint over the source and the relays, and derive an optimization problem, the solution of which provides the optimal relay locations. Numerical results suggest that at low attenuation the relays are mostly clustered close to the source in order to be able to cooperate among themselves, whereas at high attenuation they are uniformly placed and work as repeaters. We also prove that a constant rate independent of the attenuation in the network can be achieved by placing a large enough number of relay nodes uniformly between the source and the destination, under the exponential path-loss model with total power constraint.

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: Francis Jayakanth
Date Deposited: 19 Dec 2013 09:48
Last Modified: 19 Dec 2013 09:48
URI: http://eprints.iisc.ac.in/id/eprint/48028

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