In this paper, we consider waveform design for dualfunction radar-communication systems based on multiple-inputmultiple-out arrays. To achieve better Rician target detection performance, we use the relative entropy associated with the formulated detection problem as the design metric. We also impose a multiuser interference energy constraint on the waveforms to ensure the achievable sum-rate of the communications. Two algorithms are presented to tackle the nonlinear non-convex waveform design problem. In the first algorithm, we derive a quadratic function to minorize the objective function. To tackle the quadratically constrained quadratic programming problem at each iteration, a semidefinite relaxation approach followed by a rank-one decomposition procedure and an efficient alternating direction method of multipliers (ADMM) are proposed, respectively. In the second algorithm, we present a novel ADMM algorithm to tackle the optimization problem and employ an efficient minorization-maximization approach in the inner loop of the ADMM algorithm. Numerical results demonstrate the superiority of both algorithms. Moreover, the presented algorithms can be extended to synthesize peak-to-average-power ratio constrained waveforms, which allows the radio frequency amplifier to operate at an increased efficiency.
翻译:在本文中,我们考虑基于多输入-多输出阵列的双功能雷达通信系统的波形设计。为了实现更好的Rician目标检测性能,我们使用与所制定的检测问题相关的相对熵作为设计度量。我们还施加了多用户干扰能量约束于波形以确保通信的可实现总速率。本文提出了两种算法来解决非线性非凸波形设计问题。在第一种算法中,我们导出一个二次函数来较小化目标函数。为了解决每次迭代中的二次限制二次规划问题,我们提出了一个半定松弛方法,然后是一个秩-1分解过程和一个高效的交替方向乘法(ADMM)。在第二个算法中,我们提出了一种新的ADMM算法来解决优化问题,并在ADMM算法的内部循环中采用了高效的较小化最大化方法。数值结果表明两种算法的优越性。此外,所提出的算法还可以扩展到合成峰值平均功率比受限波形,这允许射频功率放大器以更高的效率进行操作。