In this study, the issue of power allocation in the statistical multiple-input–multiple-output (MIMO) radars is investigated to reduce the probability of interception. In MIMO radars, orthogonal waveforms are commonly used, in which waveforms are orthogonal frequency-diversity or phase-coded (PC) waveforms. Therefore, the low probability of intercept (LPI) optimisation problem is considered for different orthogonal signals separately. In the FD case, the LPI optimisation problem based on analysing signal processing applied to the conventional interceptor is formulated as a min–max problem. In the PC case, the problem is formulated as a sum power minimisation problem with non-convex and non-linear detection performance constraint. Some relaxations and innovations are applied to simplify the problem and to convert it to a convex-linear problem. In addition, by analysing the form of the proposed solution, the proposed algorithm is extended based on adaptive thresholding to improve the LPI performance as much as possible. Here, the original problem is solved by a standard log-barrier algorithm as a benchmark to verify the optimality of the proposed algorithms. Simulation results show that, the proposed algorithms guarantee not only the detection performances, but also the LPI performance is considerably better in comparison with traditional power allocation algorithms.

中文翻译：

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基于LPI优化和检测性能实现的MIMO雷达功率分配

在这项研究中，研究了统计多输入多输出（MIMO）雷达中的功率分配问题，以减少拦截的可能性。在MIMO雷达中，通常使用正交波形，其中波形是正交频率分集或相位编码（PC）波形。因此，分别针对不同的正交信号考虑了低拦截（LPI）优化问题。在FD情况下，将基于分析应用于传统拦截器的信号处理的LPI优化问题表述为最小-最大问题。在PC情况下，该问题被表述为具有非凸和非线性检测性能约束的总功率最小化问题。进行了一些放松和创新，以简化问题并将其转换为凸线性问题。另外，通过分析提出的解决方案的形式，在自适应阈值的基础上对提出的算法进行了扩展，以尽可能提高LPI性能。在这里，原始问题通过标准对数屏障算法作为基准来解决，以验证所提出算法的最优性。仿真结果表明，与传统的功率分配算法相比，所提出的算法不仅保证了检测性能，而且LPI性能也大大提高。