基于迭代超分辨的单快拍DOA估计方法
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摘要
单快拍DOA估计方法可解决短时突发信号和相干信源背景下传统方法面临的秩亏损问题。本文提出一种基于迭代超分辨的单快拍DOA估计方法,利用迭代超分辨技术估计阵列的协方差矩阵,然后采用求根MUSIC算法实现对DOA的估计。该方法无需谱峰搜索,可在不损失阵列孔径的同时实现单快拍DOA估计。论文推导了基于最小方差无畸变响应原则的迭代超分辨技术,仿真分析了空间角度划分、迭代次数、信噪比等参数对DOA分辨的正确率和估计精度的影响,与已有方法的对比结果验证了本文方法的有效性。
The single snapshot DOA estimation method can solve the rank loss problem faced by traditional methods when short-term burst signals and coherent sources occur. In this paper, the covariance matrix is estimated by reiterative super-resolution technique, and the DOA is estimated by root MUSIC algorithm. This method does not need to search spectrum peaks, and can realize single snapshot DOA estimation without losing the array aperture. In this paper, the reiterative super-resolution technique based on the principle of minimum variance distortionless response is derived. The effects of spatial angle partition, the number of iterations and signal-to-noise ratio on the probability of separation and estimation accuracy are simulated and analyzed. The effectiveness of this method is verified by comparison with existing methods.
The single snapshot DOA estimation method can solve the rank loss problem faced by traditional methods when short-term burst signals and coherent sources occur. In this paper, the covariance matrix is estimated by reiterative super-resolution technique, and the DOA is estimated by root MUSIC algorithm. This method does not need to search spectrum peaks, and can realize single snapshot DOA estimation without losing the array aperture. In this paper, the reiterative super-resolution technique based on the principle of minimum variance distortionless response is derived. The effects of spatial angle partition, the number of iterations and signal-to-noise ratio on the probability of separation and estimation accuracy are simulated and analyzed. The effectiveness of this method is verified by comparison with existing methods.
引文
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[2] 王凌,李国林,李静,等.一种新的单次快拍二维ESPRIT算法[J].北京理工大学学报,2013,33(1):99-104.Wang L,Li G L,Li J,et al.A Novel Single Snapshot Two-Dimensional ESPRIT Algorithm[J].Journal of Beijing Institute of Technology(Natural Science Edition),2013,33(1):99-104.(in Chinese)
[3] 毛维平,李国林,谢鑫.单快拍数据预处理的相干信号波达方向估计[J].上海交通大学学报,2014,48(10):1362-1367.Mao W P,Li G L,Xie X.DOA Estimation of Coherent Signals with Preprocessed Single Snapshot[J].Journal of Shanghai Jiaotong University,2014,48(10):1362-1367.(in Chinese)
[4] 谢鑫,李国林,刘华文.采用单次快拍数据实现相干信号DOA估计[J].电子与信息学报,2010,32(3):604- 608.Xie X,Li G L,Liu H W.DOA Estimation of Coherent Signals Using one Snapshot[J].Journal of Electronics & Information Technology,2010,32(3):604- 608.(in Chinese)
[5] 蒋柏峰,吕晓德,向茂生.一种基于阵列接收信号重排的单快拍DOA估计方法[J].电子与信息学报,2014,36(6):1334-1339.Jiang B F,Lv X D,Xiang M S.Single Snapshot DOA Estimation Method Based on Rearrangement of Array Receiving Signal[J].Journal of Electronics & Information Technology,2014,36(6):1334-1339.(in Chinese)
[6] 王俊,向洪,魏少明,等.单快拍数据的分布式二维阵列测角方法研究[J].电子与信息学报,2018,40(6):1375-1382.Wang J,Xiang H,Wei S M,et al.2-D DOA Estimation of Distributed Array with Single Snapshot[J].Journal of Electronics & Information Technology,2018,40(6):1375-1382.(in Chinese)
[7] Barabell A.Improving the Resolution Performance of Eigenstructure-based Direction-finding Algorithms[C]//ICASSP’83.IEEE International Conference on Acoustics,Speech,and Signal Processing,1983:336-339.
[8] 刘晓娣,周新力,肖金光.基于空间平滑的单快拍波达方向估计算法[J].探测与控制学报,2015,37(6):66-70.Liu X D,Zhou X L,Xiao J G.Single Snapshot DOA Estimation Algorithm Based on Spatial Smoothing[J].Journal of Detection & Control,2015,37(6):66-70.(in Chinese)
[9] Evans J E,Johnson J R,Sun D F.Application of Advanced Signal Processing Techniques to Angle of Arrival Estimation in ATC Navigation and Surveillance Systems[R].MIT Lincoln Laboratory Technical Report,1982.
[10] 赵春雷,王亚梁,毛兴鹏,等.基于压缩感知的高频地波雷达二维DOA估计[J].系统工程与电子技术,2017,39(4):733-741.Zhao C L,Wang Y L,Mao X P,et al.Compressive Sensing Based Two-dimensional DOA Estimation for High Frequency Surface Wave Radar[J].Systems Engineering and Electronics,2017,39(4):733-741.(in Chinese)
[11] Zamani H,Zayyani H,Marvasti F.An Iterative Dictionary Learning-Based Algorithm for DOA Estimation[J].IEEE Communications Letters,2016,20(9):1784-1787.
[12] Xu L,Wu R,Zhang X,et al.Joint Two-Dimensional DOA and Frequency Estimation for L-Shaped Array via Compressed Sensing PARAFAC Method[J].IEEE Access,2018,6:37204-37213.
[13] Uehashi S,Ogawa Y,Nishimura T,et al.Prediction of Time-Varying Multi-User MIMO Channels Based on DOA Estimation Using Compressed Sensing[J].IEEE Transactions on Vehicular Technology,2019,68(1):565-577.
[14] Blunt S D,Chan T,Gerlach K.Robust DOA Estimation:The Reiterative Superresolution (RISR) Algorithm[J].IEEE Transactions on Aerospace and Electronic Systems,2011,47(1):332-346.
[15] Yardibi T,Li J,Stoica P,et al.Source Localization and Sensing:A Nonparametric Iterative Adaptive Approach Based on Weighted Least Squares[J].IEEE Transactions on Aerospace and Electronic Systems,2010,46(1):425- 443.