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在窄带阵列天线正交频分复用系统的到达时间和波达方向联合估计中,针对阵元数目较少时波达方向估计精度不高,特别是多径数目大于阵元数目导致的波达方向无法估计问题,提出一种基于哈达玛积扩展子空间的到达时间和波达方向联合估计算法.该算法首先利用各阵元上的频域信道估计构成扩展信道频域响应矢量,然后计算扩展信道频域响应矢量自相关矩阵,并进行特征值分解得到哈达玛积扩展噪声子空间,最后构造伪谱函数并进行二维谱峰搜索,从而实现到达时间和波达方向的联合估计.仿真结果表明,与现有算法相比,在复杂度没有大幅提高的前提下,该算法的估计结果均方根误差更加接近克拉美罗界,且到达时间和波达方向估计能够自动配对,在多径数目大于阵元数目时依然适用.
In the combined estimation of arrival time and arrival direction of narrowband array antenna orthogonal frequency division multiplexing system, the accuracy of DOA estimation is not high when the number of array elements is small, especially when the number of multipaths is larger than the number of array elements Direction can not be estimated, a joint estimation algorithm of arrival time and direction of arrival based on Hadamard product expansion subspace is proposed. The algorithm first uses the frequency domain channel estimation of each array element to form the extended channel frequency domain response vector, and then calculates the expansion Channel frequency domain response vector autocorrelation matrix, and eigenvalue decomposition to obtain Hadamard product extended noise subspace, and finally constructed pseudo-spectral function and two-dimensional peak search, so as to achieve the joint estimation of arrival time and direction of arrival. Simulation results Compared with the existing algorithms, the root mean square error (RMSE) of the proposed algorithm is closer to that of caratmelo R, and the estimation of arrival time and direction of arrival can be paired automatically. In the case of multipath The number is still greater than the number of array elements still apply.