Robustness of End-to-End Detection in Coherent MAC-based Practicable Cooperative Networks

This paper considers a coherent multiple access channel (MAC)-based practicable cooperative wireless network consisting of non-ideal nodes that can be in error with a finite probability. Considering a practicable cooperative wireless network, this work obtains an optimal Neyman-Pearson (NP) criterion-based decoding statistic at the destination. The closed-form expressions of the probabilities of detection, false alarm, and symbol error are derived for the proposed detector, considering all possible network states to characterize the end-to-end detection performance of the practicable wireless network. The obtained probabilities are then averaged over the channel state information (CSI) to obtain the average probabilities. The practicable wireless networks with non-ideal nodes can significantly reduce the detection performance over the Genie/ error-free nodes. The work quantifies this performance difference via. the derived closed-form expressions and demonstrate a concurrence between the simulated and their derived analytical counterparts in the practicable cooperative networks.