Source Detection of Sensor Array Based on Information Theory

In this paper, the application of information theory to describe the existing problem of signal source in sensor array is investigated in the presence of complex additive white Gaussian noise (CAWGN). Firstly, We derive the theoretical formula of constant modulus scattering signal detection information under the condition of uncertain source position in a single source scenario based on the information theory approach (ITA) and the theoretical expressions between detection probability and false alarm probability. Then, according to the Neyman-Pearson (N-P) criterion, the detection probability and false alarm probability of the constant modulus scattering signal are derived separately and derive the corresponding detection information through existing methods. Finally, the simulations of detection information and receiver operating characteristics (ROC), according to the presented expressions, are carried out to compare the detection performance based on ITA and N-P criterion. Our analysis indicates that the theoretical detection performance of ITA can be obviously better than that of N-P criterion, which also verifies the reliability and effectiveness of ITA.