Joint DOD and DOA Estimation Using Reduced-Capon Method in Bistatic MIMO Array

基于降维 Capon 的双基地 MIMO 阵列目标 DOD 和 DOA 联合估计算法

School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, China

Received: 20 October 2018

Abstract

In order to resolve the problem of joint direction of departure (DOD) and direction of arrival (DOA) estimation in bistatic MIMO array, a dimensional reduced-Capon method based on Taylor series expansion and signal subspace is proposed in this paper. Firstly, the Taylor series expansion of the steering vector is used to reduce the two-dimensional (2D) spectrum peak searching of Capon method to one-dimensional searching. Then, the DOD estimator can be achieved via Lagrange multiplier by one-dimension search. Finally, the steering vector of DOA corresponding to the DOD estimator is achieved and the DOA can be estimated. Hence, the estimated DOD and DOA are obtained automatically paired. And also, the proposed method can avoid the high computational complexity of MIMO Capon method. Simulation results are presented to illustrate the effectiveness of the proposed method.

摘要

针对双基地多输入多输出（MIMO）阵列目标DOD（发射角）和DOA（接收角）联合估计问题，提出了一种基于泰勒级数展开的降维Capon联合收发角估计算法。该算法首先利用泰勒级数将阵列流型矢量展开，将需要二维搜索的MIMO Capon算法降为一维搜索，然后利用拉格朗日算子通过一维搜索获得目标的DOD，最后将估计的DOD代入阵列流型矢量中获得接收阵列流型矢量，从而估计出与DOD相对应的DOA。该算法无需二维谱峰搜索，通过一维搜索得到目标收发角，且DOD和DOA自动配对。与现有算法相比，该算法不仅能够获得较好的角度分辨率，而且有效降低了运算量。仿真结果验证了所提算法的有效性。