针对稀疏重构波达方向 (DoA)估计方法的角度搜索范围较大导致算法复杂度较高的问题，文章提出一种基于快速傅里叶变换与稀疏重构相结合的DoA估计方法。该方法首先解决了基于经典傅里叶变换的DoA估计方法只能估计出一半角度范围内来波方向的问题，改进后的方法能够估计出整个角度范围内来波方向粗略范围；然后在粗略估计角度的范围内利用稀疏重构的方法进行超分辨力角度估计，极大减少了角度搜索的范围、降低了计算复杂度。仿真结果表明，所提方法不仅能降低计算复杂度，而且在低信噪比和低快拍时角度误差较小。

The computational complexity of the sparse reconstruction based on Direction of Arrival （DoA） increases with the search range of angle dramatically. To address this issue, this paper proposes a joint DoA estimation method based on Fast Fourier Transform （FFT） and sparse reconstruction．Firstly, the method solves the problem that the DoA estimation method based on the classical Fourier transform that can only estimate the direction of the incoming wave within half of the angular range．Then, the improved method can estimate the rough range of the incoming wave direction over the entire range of angles which can be used to roughly estimate the angle．Moreover, the sparse reconstruction method is used to perform superresolution angle estimation in the range, which greatly reduces the range of angle search and reduces the computational complexity．Simulation results show that the proposed method can not only reduce the computational complexity, but also has less angular error at low signaltonoise ratio and few snapshot．