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研究单基地多输入多输出(MIMO)雷达中的波达角(DOA)估计问题,提出了一种基于非圆(NC)实信号的实值旋转不变性信号参数估计(ESPRIT)算法。首先对接收信号进行降维变换,降低运算复杂度;之后根据非圆实信号特性构造中心Hermitian对称矩阵,通过酉(Unitary)变换将复数运算转为实数,进一步降低复杂度;最后根据ESPRIT得到角度估计。该算法无需谱峰搜索,运算复杂度较NC ESPRIT和Unitary ESPRIT大大降低,且该算法的角度估计性能优于后两种算法。论文分析了所提算法的复杂度,并推导了克拉美-罗界(CRB)。仿真结果验证了该算法的有效性。
In this paper, DOA estimation in single-base MIMO systems is studied. A real-rotation invariant signal parameter estimation (ESPRIT) algorithm based on non-circular (NC) real signals is proposed. Firstly, the received signal is reduced in dimension, and the computational complexity is reduced. Then, a center Hermitian symmetric matrix is constructed according to the characteristics of non-circular real signals, and the complex operations are transformed into real numbers by unitary transformation to further reduce the complexity. Finally, according to ESPRIT, estimate. The algorithm does not need spectral peak search, the computational complexity is much lower than that of NC ESPRIT and Unitary ESPRIT, and the performance of this algorithm is better than the latter two algorithms. The thesis analyzes the complexity of the proposed algorithm and derives the Cramer-Rao Bound (CRB). Simulation results verify the effectiveness of the algorithm.