基于噪声子空间映射的二维波达角快速估计算法  

Efficient Algorithm for 2-D DOA Estimation Based on Noise Subspace Mapping

作　　者：王军[1] 闫锋刚[1] 金铭[1] 乔晓林[1] 

机构地区：[1]哈尔滨工业大学电子与信息工程学院,黑龙江哈尔滨150001

出　　处：《电子学报》2015年第2期276-282,共7页Acta Electronica Sinica

基　　金：山东省自然科学基金(No.ZR2014FQ003)

摘　　要：为了降低二维MUSIC(Two Dimensional Multiple Signal Classification,2-D MUSIC)算法的计算量,提高算法的实时处理能力,基于噪声子空间映射思想提出了一种适用于任意平面阵列结构的二维波达角(Direction Of Arrival,DOA)快速估计算法.新算法利用空间角度划分及非线性变换将信号子空间与噪声子空间的正交性等价地压缩至某个角度分片内,使得真实DOA在该角度分片内产生虚拟镜像,通过搜索该角度分片得到虚拟DOA,最后利用数学式直接计算得到真实DOA.理论分析和实验结果表明新算法能够成倍地提高DOA估计的速度,同时具有比MUSIC算法更高的空间分辨率.To reduce the computational complexity of the two dimensional Multiple Signal Classification（ 2-D MUSIC） algorithm and make it suitable for real-time applications,this paper presents a newcomputationally efficient method for2-D direction-of-arrivals（ DOA） estimation with arbitrary 2-D array configurations based on noise-subspace mapping. Exploring the idea of spatial angle dividing and non-linear transformation,the orthogonal relationship between the signal-subspaces and noise-subspaces is compressed to a small angular sector,leading to a series of virtual mirrors for each true DOA in a given sector. This allows fast estimation for the virtual DOAs by spectral search over only one sector,which further gives the value of the true DOAs since they are mathematically related. It is shown by theoretical analysis as well as experimental results that the newapproach has a much lower computational complexity and an improved resolution as compared to the standard MUSIC.

关 键 词：MUSIC 二维DOA估计 空间角度划分 噪声子空间映射 任意阵列结构 

分 类 号：TN959.2[电子电信—信号与信息处理]