Generalized Co-Prime MIMO Radar for DOA Estimation With Enhanced Degrees of Freedom
Generalized Co-Prime MIMO Radar for DOA Estimation With Enhanced Degrees of Freedom
复制标题
用于增强自由度 DOA 估计的广义 Co-Prime MIMO 雷达
DOI：
10.1109/jsen.2017.2782746
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发表时间：
2018-02-01
影响因子：
4.3
通讯作者：
Xiao, Yu
中科院分区：
文献类型：
--
作者：
Shi, Junpeng;Hu, Guoping;Xiao, Yu
在本文中，我们提出了一种用于到达方向估计的广义互质多输入多输出（MIMO）配置。与需要发射器和接收器原型互质阵列的传统共质MIMO雷达相比，所提出的配置以整数扩展因子扩大了发射器的元件间间距。通过对样本协方差矩阵进行矢量化，定义了广义和差协阵列（GSDC）概念，以利用所提出配置的优点。仔细推导了扩展因子、最大连续滞后和唯一滞后数的解析表达式。验证了GSDC随着扩展因子的增加可以获得更多的自由度（DOF）。具体来说，通过 <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(M+N)$ </tex-math></inline-formula> 传感器，GSDC 可以提供 <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(M^{2}N^{2})$ </tex-math></inline-formula> 自由度，而传统的只有 <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(MN)$ </tex-math></inline-formula> 自由度。仿真结果证明了所提出的利用空间平滑和稀疏表示算法的配置的有用性。
In this paper, we propose a generalized co-prime multiple-input multiple-output (MIMO) configuration for direction of arrival estimation. Compared with the conventional co-prime MIMO radar that requires prototype co-prime arrays for transmitter and receiver, the proposed configuration enlarges the inter-element spacing of transmitter with an integer expansion factor. By vectorizing the sample covariance matrix, the generalized sum and difference coarray (GSDC) concept is defined for exploiting the advantages of proposed configuration. The analytical expressions for the expansion factor, the maximum consecutive lags, and the number of unique lags are derived carefully. It is verified that GSDC can obtain more degrees of freedom (DOFs) with the increase of expansion factor. Specifically, with <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(M+N)$ </tex-math></inline-formula> sensors, GSDC can provide <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(M^{2}N^{2})$ </tex-math></inline-formula> DOFs, whereas the conventional one only has <inline-formula> <tex-math notation="LaTeX">$\mathcal {O}(MN)$ </tex-math></inline-formula> DOFs. Simulation results demonstrate the usefulness of proposed configuration utilizing both spatial smoothing and sparse representation algorithms.