Antenna array-based joint radar-communication (JRC) system employs the beamforming strategy to steer the transmit signals in different directions such that different beamforming weight vectors are exploited which perform the corresponding radar-communication objectives. Such functionality has been provisioned in the spectrally congested environments where both systems are destined to coexist. The transmit antenna selection has become an increasingly interesting topic as the antennas become significantly cheaper and smaller relative to the up-conversion chains. In this paper, we address the problem of antenna selection for the JRC system by employing a re-weighted $l_1$-norm minimization naturally yielding the low-complexity solution compared to the exhaustive $l_0$-norm-based optimization. We present the mathematical framework for the proposed approach in the context of the individual as well as grouped beamforming weight vectors and analyze the practical applicability of the proposed approach for both cases. We argue that the grouped approach for optimizing the JRC antenna selection is hardware-efficient compared to the antenna selection for individual beamforming weight vectors. Simulation results illustrate that the proposed technique significantly reduces the number of required antennas while simultaneously satisfying the radar and communication system objectives.

基于天线阵列的联合雷达通信（JRC）系统采用波束成形策略来控制发射信号的方向，从而利用不同的波束成形权重矢量来执行相应的雷达通信目标。已经在两个系统注定要共存的频谱拥挤的环境中提供了此类功能。随着天线相对于上转换链变得越来越便宜和越来越小，发射天线的选择已成为越来越有趣的话题。在本文中，我们通过采用重新加权来解决JRC系统的天线选择问题${升}_{\mathrm{1个}}$与穷举相比，最小范数自然生成了低复杂度的解决方案 ${升}_0$-基于规范的优化。我们在个体以及分组波束成形权重向量的上下文中提供了该方法的数学框架，并分析了这两种情况下该方法的实际适用性。我们认为，与针对单个波束成形权重向量的天线选择相比，用于优化JRC天线选择的分组方法具有较高的硬件效率。仿真结果表明，所提出的技术显着减少了所需天线的数量，同时满足了雷达和通信系统的目标。