We consider the joint design of transmit and receive beamforming for multiple-input multiple-output (MIMO) systems in the presence of multiple targets and interferences. The objective is to maximize the minimum receiver output signal-to-interference-plus-noise-ratio (SINR) of the targets with constraints on the total and, respectively, per-antenna transmission power. The problem can be solved by an iterative bisection search (IBS) based method, which is, however, computationally intensive since it requires solving a feasibility problem multiple times for each update of the transmit beamformer. We propose a new method that bypasses the iterative feasibility checking by employing an SINR approximation. An analytical proof, which ensures the convergence of the proposed method, is provided. Numerical results show that the proposed method attains a similar SINR performance as the IBS based method but at a significantly lower computational complexity.

中文翻译：

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多目标 MIMO 雷达的低复杂度联合发射和接收波束成形

我们考虑在存在多个目标和干扰的情况下为多输入多输出 (MIMO) 系统联合设计发射和接收波束成形。目标是最大化目标的最小接收器输出信号与干扰加噪声比 (SINR)，并分别限制总发射功率和每个天线发射功率。该问题可以通过基于迭代二分搜索 (IBS) 的方法来解决，但是，该方法是计算密集型的，因为它需要针对发射波束成形器的每次更新多次解决可行性问题。我们提出了一种通过采用 SINR 近似绕过迭代可行性检查的新方法。提供了确保所提出方法收敛的分析证明。