二维面阵子空间重构快速估计方法

针对当前进行二维面阵高精度波达方向估计时计算复杂度较高的问题,提出了一种适用于二维面阵的高精度低计算复杂度的快速估计方法。这种方法首先利用面阵子阵间的旋转不变关系完成二维角度预估;然后将预估角度作为先验信息,利用子阵的信号子空间重构面阵的信号子空间,并进行梯度搜索,实现对二维角度的精确估计。其中,利用子阵的信号子空间对面阵的信号子空间进行重构,有效地降低了进行子空间估计时的计算复杂度;采用梯度搜索的办法进行局部搜索,使得搜索时的计算复杂度大幅下降,获得了与经典二维MUSIC算法一致的估计精度。计算机仿真结果验证了所提算法的有效性。

Fast estimation method for a two-dimensional planar array based on subspace reconstruction

Aiming at the problem of high computational complexity in the estimation of the high-precision direction of arrival of a two-dimensional array, a fast estimation method for high-precision and low computational complexity of a two-dimensional array is proposed. This method first uses the rotational a invariant relationship between the subarrays to complete the two-dimensional angle prediction. Then the estimated angle is used as the prior information, and the signal subspace of the subarray is used to reconstruct the signal subspace of the planar array, and the gradient search is performed to achieve accurate estimation of the two-dimensional angle. Among them, reconstruction of the signal subspace for the planar array effectively reduces the computational complexity when subspace estimation is performed. The gradient search method is used for local search, which declines the computational complexity during search. The estimation accuracy consistent with the classical two-dimensional MUSIC algorithm is obtained. Computer simulation results verify the effectiveness of the proposed algorithm.