适用任意阵列的变换域二维波达角快速估计算法

doi:10.3969/j.issn.0372-2112.2013.05.017

电子学报 ›› 2013, Vol. 41 ›› Issue (5): 936-942.DOI: 10.3969/j.issn.0372-2112.2013.05.017

适用任意阵列的变换域二维波达角快速估计算法

闫锋刚¹, 金铭², 乔晓林²

1. 哈尔滨工业大学电子与信息工程学院,黑龙江哈尔滨 150001;
2. 哈尔滨工业大学(威海)信息工程研究所,山东威海 264209

收稿日期:2012-03-20 修回日期:2012-10-22 出版日期:2013-05-25
- 作者简介:
- 闫锋刚 男,1982年生于陕西咸阳.哈尔滨工业大学电子与信息工程系博士研究生,工程师.研究方向为雷达对抗,阵列信号处理,统计信号理论研究等. E-mail:yfglion@163.com

Fast 2-D DOA Estimation Method in Transformed Domain with Arbitrary Arrays

YAN Feng-gang¹, JIN Ming², QIAO Xiao-lin²

1. School of Electronics and Information Engineering,Harbin Institute of Technology,Harbin,Heilongjiang 150001,China;
2. School of Information Engineering,Harbin Institute of Technology at Weihai,Weihai,Shandong 264209,China

Received:2012-03-20 Revised:2012-10-22 Online:2013-05-25 Published:2013-05-25

摘要/Abstract

摘要： MUSIC(Multiple Signal Classification)算法是波达角(the Direction of Arrival,DOA)估计的经典算法之一,但其在二维DOA估计中因需进行二维谱峰搜索而计算量十分巨大.为降低MUSIC算法的计算量,本文在引入变换域DOA概念的基础上提出了一种能够适用于任意阵列结构的二维DOA快速估计算法,即变换域MUSIC(transformed domain-MUSIC,TD-MUSIC)算法.理论分析和仿真实验表明:该算法不但将空间谱峰搜索的范围减小一半而且具有更低维度的噪声子空间,因而其计算量远小于 MUSIC算法.同时,新算法具有比MUSIC更高的空间分辨率.

关键词: 变换域MUSIC, DOA估计, 虚拟辐射源, 交替投影算法, 奇异值分解

Abstract: As one of the most popular techniques for direction-of-arrival(DOA)estimation,the multiple signal classification(MUSIC)algorithm has a tremendous computational complexity for 2-D DOA estimation problems,which is mainly caused by an involved 2-D spectral search step.To reduce the complexity,a new algorithm named the transformed domain MUSIC(TD-MUSIC)for fast 2-D DOA estimation with arbitrary arrays is presented by this work based on a new concept of the transformed domain DOA.It is shown by theoretical analysis and experiment results that TD-MUSIC not only realizes a compression for the spectral search region,but also has a dimension-reduced noise subspace and hence,it requires much lower complexity than the standard MUSIC.Moreover,the new method also shows an improved resolution as compared to MUSIC.

Key words: transformed domain MUSIC, direction-of-arrival estimation, virtual source, alternate projection method(APM), singular value decomposition(SVD)

中图分类号:

TN959.2

闫锋刚, 金铭, 乔晓林. 适用任意阵列的变换域二维波达角快速估计算法[J]. 电子学报, 2013, 41(5): 936-942.

YAN Feng-gang, JIN Ming, QIAO Xiao-lin. Fast 2-D DOA Estimation Method in Transformed Domain with Arbitrary Arrays[J]. Acta Electronica Sinica, 2013, 41(5): 936-942.

参考文献

[1] Yo Han Ko,et al.2-D DOA estimation with cell searching for a mobile relay station with uniform circular array[J].IEEE Trans Communications,2010,58(10):2805-2809.
[2] A G Jaffer.Maximum likelihood direction finding of stochastic sources:A separable solution .Proc ICASSP .1988,2893-2896.
[3] R Kumaresan and D W Tufts.Estimating the angles of arrival of multiple plane waves[J].IEEE Trans Aerosp Electron Syst,1983,19(1):134-139.
[4] R O Schmidt.Multiple emitter location and signal parameter estimation[J].IEEE Trans Antennas Propag,1986,34(3):276-280.
[5] Y Zhang and Boon Poh Ng.MUSIC-Like DOA estimation without estimating the number of sources[J].IEEE Trans Signal Process,2010,58(3):1668-1676.
[6] S M Kay and A K Shaw.Frequency estimation by principal component AR spectral estimation method without eigendecomposition[J].IEEE Trans Acoust Speech,Signal Process,1988,36(1):95-101.
[7] C E Davila and M Azmoodeh.Efficient estimation of the signal subspace without eigendecomposition[J].IEEE Trans Signal Processing,1994,42(1):236-239.
[8] M Rubsamen and A B Gershman.Direction-of-arrival estimation for nonuniform sensor arrays:From manifold separation to Fourier domain MUSIC methods[J].IEEE Trans Signal Process,2009,57(2):588-599.
[9] W W Cui,et al.Fast and robust DOA estimation method using searching space pre-estimation[J].Chinese Journal of Electronics,2008,17(1):136-140.
[10] G M Wang,et al.Computationally efficient subspace-based method for two-dimensional direction estimation with L-shaped array[J].IEEE Trans Signal Processing,2011,59(7):3197-3212.
[11] F J Chen,S Kwong,C W Kok.Esprit like two dimensional DOA estimation for coherent signals[J].IEEE Trans Aerospace and Electronic Systems,2010,46(3):1477-1484.
[12] J L Liang,D Liu.Joint elevation and azimuth direction finding using L-shaped array[J].IEEE Trans Signal Processing,2010,58(6):2136-2141.
[13] V Volodymyr.Improving the performance of root-MUSIC via pseudo-noise resamplingand conventional beamformer[J].Microwaves,Radar and Remote Sensing Symposium (MRRS),2011,25(8):309-312.
[14] R Roy and T Kailath.ESPRIT-estimation of parameters via rotational invariance techniques[J],IEEE Trans Acoust,Speech,Signal Process,1989,37(7):984-995.
[15] X F Zhang,et al.Direction of departure(DOD)and direction of arrival(DOA)estimation in MIMO radar with reduced-dimension MUSIC[J].IEEE Communications Letters,2010,14(12):1161-1163.
[16] F Belloni,A Richter and V Koivunen.DoA estimation via manifold separation for arbitrary array structures[J],IEEE Trans Signal Process,2007,55(10):4800-4810.
[17] A Osman,A Noureldin.Direction of arrival estimation using virtual array search .IET Radar,Sonar & Navigation.2011,5(4):389-397.
[18] 张聪,胡谋法,卢焕章.基于虚拟阵列空间平滑的相干信号DOA估计[J].电子学报,2010,38(4):929-933. C Zhang,M F Hu and H Z L.Virtual array-based spatial smoothing method for direction finding of coherent signals[J].Acta Electronica Sinica,2010,38(4):929-933.(in Chinese)
[19] Harry L van Trees.Optimum array processing optimum array processing[M].John Wiley & Sons,Inc,New York,2002.2001-2050.
[20] J von Neumann.Functional operators II.The geometry of orthogonal spaces[M].Ann of Math Stud,22 Princeton Univ Press,1950.356-398.
[21] S Kayalar and H Weinert.Error bounds for the method of alternating projections .Math Control Signals Systems,1988,35(1):43-59.
[22] G H Golub and C F Van Loan.Matirx computations[M].3nd ed.The Johns Hopkins University Press,1983.588-510.
[23] G H Xu and T kailath.Fast subspace decomposition[J],IEEE Trans Signal Process,1994,42(3):539-551.
[24] F Li,Richard J Vmcaro.Analysis of min-norm and MUSIC with arbitrary array geometry[J],IEEE Trans Aerosp Electron Syst,1990,26(6):976-985.

适用任意阵列的变换域二维波达角快速估计算法

Fast 2-D DOA Estimation Method in Transformed Domain with Arbitrary Arrays

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

[1]	陈光辉, 曾孝平, 焦爽. 基于阵列划分的近场DOA估计算法[J]. 电子学报, 2022, 50(9): 2110-2118.
[2]	廖勇, 杨馨怡, 杜洁汝. 基于两阶段的毫米波大规模MIMO低复杂度混合预编码算法[J]. 电子学报, 2021, 49(7): 1298-1304.
[3]	安春莲, 杨古月, 杨延菊. 基于中值滤波预处理的强冲击噪声背景测向方法[J]. 电子学报, 2021, 49(6): 1159-1166.
[4]	郑晨, 席晓莉, 宋忠国, 王梦蕾. 基于子空间技术中奇异向量分析的穿墙雷达杂波抑制方法[J]. 电子学报, 2019, 47(4): 848-854.
[5]	田野, 史佳欣, 王彦茹. 增益相位误差下基于部分校准嵌套阵列的DOA估计[J]. 电子学报, 2019, 47(12): 2465-2471.
[6]	王金铭, 叶时平, 徐振宇, 陈超祥, 蒋燕君. 半张量积低存储压缩感知方法研究[J]. 电子学报, 2018, 46(4): 797-804.
[7]	张丹威, 王晓东, 黄国勇. 相关系数SVD增强随机共振的单向阀故障诊断[J]. 电子学报, 2018, 46(11): 2696-2704.
[8]	周新平, 孙德刚, 王竹, 欧长海. 一种基于奇异值分解的功耗轨迹筛选方法[J]. 电子学报, 2017, 45(9): 2250-2255.
[9]	赵学智, 叶邦彦. 非零奇异值和频率的关系及其在信号分解中的应用[J]. 电子学报, 2017, 45(8): 2008-2018.
[10]	刘侍刚, 彭亚丽. 投影约束的遮挡点恢复方法[J]. 电子学报, 2017, 45(11): 2611-2616.
[11]	刘斌, 刘维杰, 罗益辉, 郭琳. 八通道MSVD构造及其在多聚焦图像融合中的应用[J]. 电子学报, 2016, 44(7): 1694-1701.
[12]	王录涛, 吴锡, 金钢, 邹见效. 一种基于奇异值谱加权的超声彩色多普勒成像杂波抑制算法[J]. 电子学报, 2016, 44(6): 1294-1299.
[13]	王彪, 朱志慧, 戴跃伟. 基于具有时序结构的稀疏贝叶斯学习的水声目标DOA估计研究[J]. 电子学报, 2016, 44(3): 693-698.
[14]	刘永军, 廖桂生, 杨东. 基于自适应迭代的强弱信号波达方向估计[J]. 电子学报, 2015, 43(7): 1425-1431.
[15]	张晓帆, 李广军. 基于低硬件复杂度、高速CORDIC的SVD模块设计与实现[J]. 电子学报, 2015, 43(4): 738-742.