Analysis of the Optimal Receiver System for Underwater Electromagnetic Detection

Given the characteristics of underwater electromagnetic detection systems, starting from typical applications, this paper analyzes the impact of random variables on the optimal receiver. The mathematical expression of the optimal receiver is derived using the Generalized Likelihood Ratio Test (GLRT), and the test statistics are determined. Expressions for the receiver threshold, detection probability, and false alarm probability are derived, and the system block diagram of the optimal receiver is obtained. Through simulation, the working characteristics of the generalized likelihood ratio receiver and the matched filter are compared. It is verified that the performance of this receiver is close to that of a matched filter under different conditions. Since the maximum likelihood estimation of random parameters is used, this receiver is considered suboptimal. However, when the signal-to-noise ratio (SNR) is high, this receiver can replace the matched filter as the optimal receiver.