基于期望方向图匹配的MIMO雷达恒模发射波形设计算法研究

Constant-envelope waveform design for MIMO radar based on the transmit beampattern matching

摘要:

为提升MIMO雷达发射功率利用率,改善对目标的探测性能,研究了期望方向图匹配下的发射波形设计方法。建立了发射波形恒模约束下的方向图匹配加权优化模型;基于循环优化和majorization-minimization(MM)算法对原始非凸优化问题进行求解,通过构造合适的上界函数,可将原始问题松弛为等式约束下的序列线性规划问题,并能保证算法的收敛性;由于每一次迭代都能给出子问题的闭式解,因而所提方法的计算复杂度较低;仿真实验表明了所提方法的有效性。

Abstract:

To improve the transmitting power utilization and target detection performance of the multiple-input-multiple-output (MIMO) radar, the problem of waveform design based on transmit beampattern matching is studied in this paper. First, the weighted optimization model of transmit beampattern matching by considering the constant-envelope constraint is constructed. Then, the non-convex optimization problem is solved via using the joint cyclic algorithm (CA) and the majorization-minimization (MM) method. By properly constructing the majorized function, the original problem can be relaxed into sequential linear programming problem with equality constraints, and the convergence property can be guaranteed. The proposed method owing the low computational complexity based on the achieved closed solution at each iteration. Finally, simulation results are presented to verify the efficiency of the proposed method.