Whether and Where to Code in the Wireless Relay Channel

Details Whether and Where to Code in the Wireless Relay Channel Whether and Where to Code in the Wireless Relay Channel

2011-09-12

arxiv.org/abs/1109.2613v1

Computer Science

Networking and Internet Architecture

18 pages, 11 figures, submitted to the J-SAC issue on the Theories and Methods for Advanced Wireless Relays

Scientific paper

The throughput benefits of random linear network codes have been studied extensively for wirelined and wireless erasure networks. It is often assumed that all nodes within a network perform coding operations, for minimal centralized control while maximizing the throughput. In energy-constrained systems, however, coding subgraphs should be chosen to minimize the number of coding nodes while maintaining the achievable throughput. In this paper, we explore the use of network coding in the wireless relay channel, where a single source communicates to a single sink through the aid of a relay in half-duplex mode. We characterize the throughput performance of this unicast connection when coding is performed at either the source or the relay. Markov chain models are used to describe the evolution of innovative packets at different nodes within the network, and numerical solutions are determined to find how much time the relay should participate in the transmission. We show that coding at the source alone can achieve a significant portion of the throughput attained by coding everywhere (at least 69% in the presented case), while coding at the relay alone is not throughput efficient. We also show that a limited amount of memory at the relay suffices when coding is performed at the source.

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