Cooperative LPI Performance Optimization for Multistatic Radar System: A Stackelberg Game

This paper investigates the problem of cooperative low probability of intercept (LPI) performance optimization employing a Stackelberg game approach in a multistatic radar system. The purpose of the proposed scheme is to minimize the radiated power of each radar while guaranteeing a specified signal-to-interference-plus-noise ratio (SINR) requirement for target detection. We formulate the LPI performance optimization process as a cooperative Stackelberg game model, where the hostile intercept receiver and multiple radars are considered to be a leader and multiple followers, respectively. We strictly prove the existence and uniqueness of Nash bargaining solution (NBS) for the presented game and develop a distributed iterative algorithm to converge to the global optimal solution. Numerical simulation results demonstrate the convergence and effectiveness of the proposed LPI optimization strategy.