This paper investigates the problem of wideband multiple-input multiple-output radar transmit beampattern synthesis in a spectrally dense environment, and two optimization problems are formulated according to practical consideration. The first one is beampattern matching design under the scenario of known interference spectral band while the second addresses minimum peak sidelobe beampattern design given both interference spectral band and interference direction. In addition, to improve transmission efficiency, other than the peak-to-average power ratio constraint, a useful modulus constraint, namely, dynamic range ratio, is adopted in our development. The resultant problems are nonconvex and nonsmooth, together with multiple constraints. The advantages of the majorization-minimization and alternating direction method of multipliers (ADMM) are combined to handle them. We first use the majorization technique to handle the nonconvex and nonsmooth issues and then utilize the ADMM to solve the multi-constrained problem. Two variants of the ADMM, called majorization-ADMM and proximal-ADMM, are devised, and their convergence is also studied. Finally, numerical examples are provided to verify the effectiveness of the proposed algorithms.

中文翻译：

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主化-ADMM的宽带MIMO雷达发射波束图谱谱捷变波形设计

本文研究了频谱密集环境下宽带多输入多输出雷达发射波束图合成问题，并根据实际情况提出了两个优化问题。第一个是在已知干扰频谱带的情况下的波束模式匹配设计，而第二个是在给定干扰频谱带和干扰方向的情况下解决最小峰值旁瓣波束模式设计。另外，为了提高传输效率，除了峰均功率比约束之外，在我们的开发中还采用了有用的模量约束，即动态范围比。所产生的问题是不凸和不光滑，以及多重约束。结合了乘数最小化和交替方向方法（ADMM）的优点来处理它们。我们首先使用主要化技术来处理非凸和非平滑问题，然后利用ADMM解决多约束问题。设计了ADMM的两个变体，称为majorization-ADMM和近端ADMM，并研究了它们的收敛性。最后，通过数值算例验证了所提算法的有效性。