Collaborative Detection Probability of Mobile Target for Coverage in Large-Scale WSN

How to estimate the collaborative detection probability (CDP) for given certain number of sensors, characteristics of sensor and target is an important problem for coverage in large-scale WSN. A triangular analytical model (TAM) is developed to analyze CDP for a randomly deployment sensors in a 2-dimensional region. Making use of binomially stochastic distribution and normalization analysis methods, we theoretically characterize the relationship between the CDP for 3 collaborative sensors with the factors of sensor normalization node density (NND) and normalization specified path length (NSPL) on an assumption of target moving direction in parallel to X-axis, and work out a lower bounds on the CDP for 3 collaborative sensors at worst case on condition of NSPL no more than 1. The simulations of random deployment of sensors and target randomly moving direction show that the mobile target moving direction assumed in theoretical analysis has little influence on the detection performance analysis, and that the CDP for 3 collaborative sensors can be evaluated by the NND and the NSPL.