Optimal Detector with Correlated RF Source Signal in Ambient Backscatter Communication Systems

This paper considers an ambient backscatter communication (AmBC) system with a generalized ambient radio frequency (RF) source signal, i.e., allowing correlated ambient RF source signal samples. A Neyman-Pearson (NP) criterion based optimal detector statistic for a correlated RF source signal in the AmBC system is obtained. To further analyze the detection performance of the proposed optimal detector, closedform expressions of the probability of detection and probability of false alarm are derived. Simulation comparisons illustrate the proposed optimal detector's superior receiver operating characteristics (ROC) performance over the state-of-the-art detectors under the considered framework. Further, the simulation section demonstrates the ROC equivalence of the simulation performance with the derived analytical expressions of the proposed detector.