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We develop the Bayesian test for detecting the relay misbehavior (false data injection) at the packet level in lossy one-way wireless relay networks. The proposed approach exploits overheard erroneous packet from the source as a reference in verifying the correctness of relayed packet at the destination. We derive the probability of false alarm and missed detection as a function of the overhearing error rate, the number of bits modified in a packet, and the packet length. We show that the probability of false alarm and missed detection decreases as the packet length increases and converges to zero, regardless of the overhearing error rate, if the packet length is sufficiently long.
Liu et al. (Wed,) studied this question.