We consider the design of constant-modulus waveforms for wideband multiple-input multiple-output radar. The aim is to match a desired transmit beampattern. To tackle the non-convex design problem, we develop an iterative algorithm, which is based on cyclic optimization and majorization–minimization. We prove that the sequence of the objective values of the proposed algorithm has guaranteed convergence. Moreover, we can obtain closed-form solutions for the associated optimization problems at every iteration. Furthermore, the proposed method can be implemented without matrix inversion and hence is computationally efficient. Simulation results demonstrate that the performance of the proposed algorithm is better than existing methods.

我们考虑宽带多输入多输出雷达的恒定模波形的设计。目的是匹配期望的发射波束图案。为了解决非凸设计问题，我们开发了一种基于循环优化和主化-最小化的迭代算法。我们证明了该算法的目标值序列具有保证的收敛性。此外，我们可以在每次迭代时获得相关优化问题的封闭式解决方案。此外，所提出的方法可以在不进行矩阵求逆的情况下实现，因此计算效率高。仿真结果表明，所提算法的性能优于现有方法。