基于时间平滑和Toeplitz矩阵重构的复相干信号DoA估计

摘要

针对相干多径环境,分别利用时间平滑和Toeplitz矩阵重构算法实现了复相干信号的波达方向(DoA)估计,并进一步通过数学分析和计算机仿真对这两种算法的性能进行了对比,得出结论:时间平滑算法和Toeplitz矩阵重构算法对复相干信号的DoA估计均具有效性,Toeplitz矩阵重构算法性能相对较好,但有一定阵列孔径损失；而基于时间平滑算法无阵列孔径损失,可估计M-1个多径信号(M为阵元数),但计算量偏大.%Under the condition of coherent multipath environment, the algorithms of temporal smoothing and reconstruction of Toeplitz matrix were adopted respectively to estimate the DoAs ( Direction of Arrivals) of complex coherent signals, furthermore these two algorithms were compared through mathematical analysis and computer simulation, and the following conclusion could be obtained: Both of these two algorithms for DoA estimation of complex coherent signals have the effectivity, the performance of algorithm based on reconstruction of Toeplitz matrix is relatively better but it will lose the array aperture, the algorithm based on temporal smoothing will not lose array aperture and can estimate M - 1 coherent multi-paths ( M is the number of array elements), however, it has a slightly larger calculation load.