基于ADMM改进的低截获FDA-MIMO雷达发射波束设计

Improved transmit beamforming design based on ADMM for low probability of intercept of FDA-MIMO radar

针对信号依赖性杂波与目标位于同一方向上的低截获问题,结合交替方向乘子法(ADMM),提出了一种改进的频控阵MIMO雷达发射波束设计方法。该方法在保证每个天线上发射能量恒定和信杂噪比限制下,最小化目标区域(距离-方位)的能量辐射。首先,利用广义瑞利熵获得接收滤波器;然后,为了解决分式规划不等式约束的二次规划问题,利用辅助变量,并结合ADMM通过并行处理获得发射波束的优化解;最后,进一步研究了收敛性和计算复杂度。仿真显示,与半正定规划方法相比,所提方法能有效控制发射功率恒定,且很好地在目标处能量聚焦;另外,所提方法在杂波和干扰处形成了-50 dB以上的零陷,有效抑制了杂波和干扰信号。

Considering the low probability of intercept problem that the signal-dependent interference and the target were located in the same angle,an improved transmit beamforming design based on the alternating direction method of multipliers(ADMM) was proposed for multiple-input multiple-output with frequency diverse array radar.The transmit energy was minimized at the target under constraints of the energy at each transmitter and signal clutter-plus-noise ratio requirement.Subsequently,a cyclic algorithm was developed to tackle the non-convex design problem.Firstly,the optimal receive filter was obtained by generalized Rayleigh quotient.And then the transmit beamforming was optimized by employing auxiliary variables and ADMM to solve quadratic programming problem with fractional inequality constraint.Moreover,both the convergence and computational complexity of the proposed algorithm were discussed.Simulation results show that,compared with the semi-denite programming method,the proposed method not only attains the given antenna power,but also achieves the better mainlobe focusing performance at the target.Furthermore,the null levels at the clutter locations and the jamming directions obtained by the proposed method are-50 dB above.