Cubical and spherical directional array-based particle source detection with poisson statistics

This paper investigates detecting a far-field dynamic particle source using cubical and spherical directional arrays. First, we present a discussion on likelihood ratio test (LRT), generalized LRT (GLRT) and truncated mean test (TMT) in case of a cubical array, considering scenarios with stationary and moving targets. Further, two underlying sub-cases are considered, including the sets of correlated and independent and identically distributed observations. Next, we consider the case of a spherical array where LRT, GLRT and TMT are discussed. In all cases, we present an analysis in terms of probabilities of detection and false-alarm for the associated hypothesis testing problems. Through simulations, we show that TMT outperforms the other existing tests in the literature, namely the mean difference test, the source intensity test, and the GLRT.