Constant Modulus Waveform Design for MIMO Radar Transmit Beampattern
Constant Modulus Waveform Design for MIMO Radar Transmit Beampattern
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DOI：
10.1109/tsp.2017.2718976
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发表时间：
2017-09-15
影响因子：
5.4
通讯作者：
Li, Jian
中科院分区：
文献类型：
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作者：
Cheng, Ziyang;He, Zishu;Li, Jian
多输入多输出雷达通过选择探测波形来设计发射波束方向图具有很大的灵活性。当前的发射波束图设计思想是近似期望的发射波束图，并使互相关旁瓣最小。本文在恒模约束下，提出了两种直接设计探测波形的算法。在第一种算法中，优化准则是最小化设计波束图和给定波束图之间的平方误差。由于目标函数是一个非凸的四阶多项式，而恒模约束可以看作是多个非凸的二次等式约束，因此提出了一种高效的交替方向乘子法（ADMM）算法来求解该问题，该算法以设计波束图与给定波束图之间的绝对误差最小为准则，收敛速度非常快。这个非凸问题可以转化为l（1）-范数问题，可以用双ADMM算法求解。最后，我们通过数值结果评估了这两种算法的性能。
Amultiple-input multiple-output radar has great flexibility to design the transmit beampattern via selecting the probing waveform. The idea of current transmit beampattern design is to approximate the disired transimit beampattern and minimize the cross-correlation sidelobes. In this paper, under the constant modulus constraint, two algorithms are proposed to design the probing waveform directly. In the first algorithm, the optimization criterion is minimizing the squared-error between the designed beampattern and the given beampattern. Since the objective function is a nonconvex fourth-order polynomial and the constant modulus constraint can be regarded as many nonconvex quadratic equality constraints, an efficient alternating direction method of multipliers (ADMM) algorithm, whose convergence speed is very fast, is proposed to solve it. In the second algorithm, the criterion is minimizing the absolute-error between the designed beampattern and the given beampattern. This nonconvex problem can be formulated as l(1) -norm problem, which can be solved through a double-ADMM algorithm. Finally, we assess the performance of the two proposed algorithms via numerical results.