论文标题
空间相关在MIMO雷达中的影响
Impact of Spatial Correlation in MIMO Radar
论文作者
论文摘要
对于MIMO雷达，分析了空间相关性对互信息（MI）的影响。与统计MIMO雷达的文献中所做的工作不同，我们考虑了目标矩阵元素的空间相关性，以研究相关的MIMO雷达性能。在不相关的MIMO雷达中，相关MIMO雷达的相关处理增益与目标散射器的空间多样性增益之间存在权衡。我们解决接收信号和目标通道矩阵之间的MI如何受空间相关性的影响。使用主要化理论和Schur-Convexity的概念，我们证明MI在空间相关方面具有变化的行为，在低SNR下，Mi是Schur-Convex，即随着相关性的增加而显示出的性能的增加。然而，由于Mi是高SNR的Schur-Concave，因此这种行为在高SNR上发生了变化，因此随着空间相关性的增加而下降。此外，我们研究了空间不相关的MIMO雷达的条件。根据这些条件，随着目标位置和尺寸的工作频率增加，接收的路径变得更加不相关。因此，与低SNR处的较高频率设置相比，具有较低工作频率的设置（更相关）的性能更好。但是，在高SNR下，这种行为颠倒了。
The impact of spatial correlation on mutual information (MI) is analyzed for MIMO radar. Unlike the work done in literature for statistical MIMO radar, we consider the spatial correlation of the target matrix elements to study the correlated MIMO radar performance. There is a trade-off between coherent processing gain in correlated MIMO radar and spatial diversity gain of target scatterers in uncorrelated MIMO radar. We address how the MI between the received signal and target channel matrix is affected by spatial correlation. Using majorization theory and the notion of Schur-convexity, we prove that MI has a changing behavior with respect to spatial correlation, where at low SNR, the MI is Schur-convex, i.e. showing increasing performance as correlation increases. However, this behavior changes at high SNR, since MI is Schur-concave at high SNR, hence it decreases as the spatial correlation increases. Moreover, we investigate the conditions for spatially uncorrelated MIMO radar. According to these conditions, as the operating frequency increases with respect to the target location and dimensions, the received paths become more uncorrelated. Hence, the setup with lower operating frequency (more correlated) performs better compared to the higher frequency setup at low SNR. However at high SNR, this behavior is reversed.
