Tensor Algebra and Multidimensional Harmonic Retrieval in Signal Processing for MIMO Radar
Tensor Algebra and Multidimensional Harmonic Retrieval in Signal Processing for MIMO Radar
复制标题
DOI：
10.1109/tsp.2010.2058802
复制
发表时间：
2010-11-01
影响因子：
5.4
通讯作者：
Sidiropoulos, Nicholas D.
中科院分区：
文献类型：
--
作者：
Nion, Dimitri;Sidiropoulos, Nicholas D.
多输入多输出（MIMO）雷达的检测和估计问题近年来引起了信号处理界的极大兴趣。长期以来，雷达一直是信号处理的主要部分，MIMO雷达在适应经典雷达成像工具和开发新工具方面带来了挑战和机遇。我们在这篇文章中的目的是展示张量代数和多维谐波恢复（HR）在MIMO雷达信号处理中的潜力。张量代数和多维HR是相对成熟的主题，尽管仍然处于信号处理研究的边缘。我们表明，他们实际上是在各种相关的MIMO雷达场景中的目标定位的核心。当相干处理间隔包括多个脉冲或使用多个发射和接收子阵列（多基地配置）时，张量代数自然地发挥作用。多维谐波结构出现远场均匀的线性发射/接收阵列配置，也考虑到多普勒频移;和混合模型之间出现。这一观点为MIMO雷达强有力的算法和可辨识性结果的应用和进一步发展打开了大门。与经典的基于雷达成像的方法（如Capon或MUSIC）相比，这些代数技术以适度的复杂度产生改进的性能，特别是对于密集的目标。
Detection and estimation problems in multiple-input multiple-output (MIMO) radar have recently drawn considerable interest in the signal processing community. Radar has long been a staple of signal processing, and MIMO radar presents challenges and opportunities in adapting classical radar imaging tools and developing new ones. Our aim in this article is to showcase the potential of tensor algebra and multidimensional harmonic retrieval (HR) in signal processing for MIMO radar. Tensor algebra and multidimensional HR are relatively mature topics, albeit still on the fringes of signal processing research. We show they are in fact central for target localization in a variety of pertinent MIMO radar scenarios. Tensor algebra naturally comes into play when the coherent processing interval comprises multiple pulses, or multiple transmit and receive subarrays are used (multistatic configuration). Multidimensional harmonic structure emerges for far-field uniform linear transmit/receive array configurations, also taking into account Doppler shift; and hybrid models arise in-between. This viewpoint opens the door for the application and further development of powerful algorithms and identifiability results for MIMO radar. Compared to the classical radar-imaging-based methods such as Capon or MUSIC, these algebraic techniques yield improved performance, especially for closely spaced targets, at modest complexity.