A Robust Stackelberg Game-Based Power Allocation Scheme for Spectral Coexisting Multistatic Radar and Communication Systems

This paper investigates the problem of robust Stackelberg game-based power allocation for spectral coexisting multistatic radar and communication systems. Recognizing that the path propagation gains cannot be assumed to be constant, the column-wise model is utilized to describe the uncertainty of the parameters. The basis of the robust power allocation scheme is to minimize the worst-case radiated power of each radar with uncertain path gains for a specified signal-to-interference-plus-noise ratio (SINR) requirement for target detection, while the communication base station (CBS) is protected from the interference of radar transmissions. A robust Stackelberg game is formulated to model this hierarchical competition between the CBS and multiple radars, where the CBS is a leader and the radars are the followers. Then, the robust Nash equilibrium (RNE) for the formulated game is derived, and the existence of the RNE and uniqueness of the solution are analytically shown. Also, an iterative power allocation algorithm is developed for obtaining the RNE. Finally, simulation results demonstrate the convergence and effectiveness of the robust power allocation scheme.