In this article, we consider the problem of optimally selecting a subset of transmitters from a transmitter set available to a multiple-input and multiple-output radar network. The aim is to minimize the location estimation error of underlying targets under a power constraint. We formulate it as a minimum-variance estimation problem and show that the underlying variance reduction function is submodular. From the properties of submodularity, we present a balanced selection policy which minimizes the worst-case error value using a minimax strategy. A greedy algorithm with guaranteed performance with respect to optimal solutions is given to efficiently implement the scheduling policy. The effectiveness and the efficiency of the proposed algorithm are demonstrated in simulated examples.

在本文中，我们考虑从可用于多输入多输出雷达网络的发射机集中最优选择发射机子集的问题。目的是在功率约束下最小化潜在目标的位置估计误差。我们将其表述为最小方差估计问题，并表明潜在的方差减少函数是子模块的。根据子模块性的特性，我们提出了一种平衡选择策略，该策略使用极大极小策略来最小化最坏情况下的误差值。给出了一种在最优解方面具有保证性能的贪心算法，以有效地实现调度策略。在仿真例子中证明了所提出算法的有效性和效率。