This article deals with the multiple-input–multiple-output (MIMO) radar beampattern design in an effort to the coexistence with multiple communication systems. A waveform optimization model accounting for the minimization of the beampattern integrated sidelobe level (ISL) along with the mainlobe width, peak-to-average power ratio, and energy constraints, as well as multispectral requirements where the interference energy injected by the MIMO radar in each shared frequency band in a particular direction, is precisely controlled to ensure the desired quality of service at each communication system. Through an equivalent reformulation of the original nonconvex problem, a polynomial-time sequential convex approximation (SCA) procedure that involves the tackling of a series of constrained convex problems is proposed to monotonically decrease the ISL with the convergence guaranteed to a Karush–Kuhn–Tucker point. Herein, to speed up the convergence, a fast iterative algorithm based on the alternating-direction-method-of-multipliers framework is introduced to globally solve the convex problems during each iteration of the SCA procedure. Numerical results are provided to assess the proposed algorithm in terms of the computational complexity, the achieved beampattern, and spectral compatibility with some competitive counterparts available in the open literatures.

中文翻译：

---

通过顺序凸逼近的多光谱约束 MIMO 雷达波束图设计


本文讨论多输入多输出 (MIMO) 雷达波束方向图设计，以实现与多种通信系统的共存。波形优化模型考虑了波束方向图集成旁瓣电平 (ISL) 的最小化以及主瓣宽度、峰均功率比和能量约束，以及多频谱要求，其中 MIMO 雷达注入的干扰能量精确控制特定方向上的每个共享频段，以确保每个通信系统达到所需的服务质量。通过对原始非凸问题进行等效重新表述，提出了一种涉及解决一系列约束凸问题的多项式时间顺序凸逼近 (SCA) 程序，以单调减少 ISL，同时保证收敛到 Karush-Kuhn-Tucker观点。这里，为了加速收敛，引入了基于交替方向乘子法框架的快速迭代算法，以在SCA过程的每次迭代期间全局地解决凸问题。提供了数值结果来评估所提出的算法的计算复杂性、实现的波束方向图以及与开放文献中一些竞争性对应算法的光谱兼容性。