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In this paper, the rate-energy region is studied for the wireless sensorrelay network (WSRN) with energy harvesting in the presence of a jammer. In themodel, a source communicates to a destination equipped with a single antennawith energy harvesting constraint through a multi-antenna cooperative relayunder beamforming. Meanwhile, there is a jammer intended to disturb thecommunication. The relay works in half-duplex mode and knows all the channelstate information (CSI). When beamforming is employed at the relay, the networkcan be modeled as an equivalent Gaussian arbitrarily varying channel (GAVC). Wecharacterize the achievable rate-energy region. Since the problem isnon-convex, we present three methods to transform it into a semi-definiteprogramming problem (SDP), and the closed-form expression for two specialboundary points of the rate-energy region is obtained. Finally, the simulationsshow the rate-energy region and the anti-jamming performance of the proposedscheme.

Achievable Rate of Multi-Antenna WSRNs with EH Constraint in the presence of a Jammer