基于非合作博弈的分布式正交频分复用雷达网络功率分配算法

Power allocation algorithm for distributed OFDM radar networks based on non-cooperative game theory

针对分布式正效频分复用(Orthogonal Frequency Division Multiplexing,OFDM)雷达网络的功率分配问题,研究了基于非合作博弈的分布式OFDM雷达网络功率分配算法。以射频隐身性能为导向,设计了一种综合考虑目标检测性能和雷达辐射功率的效用函数。以一定的目标检测性能为约束条件,以最小化OFDM雷达网络中各雷达的辐射功率为优化目标,建立了基于非合作博弈的分布式OFDM雷达网络功率分配数学模型,同时实现雷达网络中各雷达之间的公平性。在此基础上,提出了一种低复杂度和快速收敛的迭代功率分配算法,求解该优化模型,并证明了纳什均衡解的存在性和唯一性。仿真结果表明,该算法不仅满足了预先设定的各雷达目标检测信干噪比性能的要求,而且与其他现有算法相比,有效提高了分布式OFDM雷达网络的射频隐身性能。

Aimming at the power allocation problem of the distributed orthogonal frequency division multiplexing(OFDM) radar networks, a power allocation algorithm for distributed OFDM radar networks based on non-cooperative game theory is studied. Taking radio frequency stealth performance as the guide, a utility function that integrates target detection performance and radar transmit power is designed. With certain target detection performance as the constraints and minimizing the transmit power of each radar in the OFDM radar networks as the optimization objective, a mathematical model of power allocation for distributed OFDM radar networks based on non-cooperative game is developed, while achieving fairness among radars in the radar networks. On this basis, an iterative power allocation algorithm with low complexity and fast convergence is proposed to solve this optimization model, and the existence and uniqueness of the Nash equilibrium solution are proved. Simulation results show that the algorithm not only satisfies the predefined requirements for the signal-to-interference-plus-noise ratio performance of each radar target detection, but also effectively improves the radio frequency stealth performance of the distributed OFDM radar networks compared with other existing algorithms.