基于重构噪声子空间的相干信号DOA估计

doi:10.12068/j.issn.1005-3026.2021.12.004

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (12): 1696-1700.DOI: 10.12068/j.issn.1005-3026.2021.12.004

基于重构噪声子空间的相干信号DOA估计

张石，许方晗，佘黎煌，刘平凡

(东北大学计算机科学与工程学院，辽宁沈阳110169)

修回日期:2020-10-12 接受日期:2020-10-12 发布日期:2021-12-17
通讯作者: 张石
作者简介:张石(1963-)，男，辽宁抚顺人，东北大学教授，博士生导师.
基金资助:
中央高校基本科研业务费专项资金资助项目(N182410001).

DOA Estimation of Coherent Signals Based on Reconstructed Noise Subspace

ZHANG Shi， XU Fang-han， SHE Li-huang， LIU Ping-fan

School of Computer Science & Engineering， Northeastern University， Shenyang 110169， China.

Revised:2020-10-12 Accepted:2020-10-12 Published:2021-12-17
Contact: SHE Li-huang
About author:-
Supported by:
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摘要/Abstract

摘要： 传统DOA(direction of arrival)估计算法无法处理相干信号，因此提出一种基于重构噪声子空间的高精度DOA估计算法.该算法利用阵元接收数据的自协方差与互协方差信息构造成增广矩阵作为新的协方差矩阵，对该矩阵进行奇异值分解得到相应的噪声子空间和特征值矩阵.为了获得更精确的信号向量，重构一个由新特征值矩阵对应的特征向量所组成的噪声子空间.最后通过谱峰搜索得到DOA估计值.算法不影响对非相干信号估计的效果，并且比IMMUSIC(improved multiple signal classification)算法具有更高的估计精度，在低信噪比及信号入射间隔较小的情况下也有良好的准确性.仿真结果表明，提出的改进算法在低信噪比及低采样快拍数的条件下，能有效估计出相干信号的波达方向.

关键词: 波达方向估计;相干信号;增广矩阵;重构;噪声子空间;MUSIC算法

Abstract: Traditional DOA(direction of arrival) estimation algorithms often fail to deal with coherent signals， so a new DOA estimation method with high accuracy based on reconstructed noise subspace is proposed. This method constructs an augmented matrix as a new covariance matrix by using the auto-covariance and cross-covariance information of uniform liner array， and then， the corresponding noise subspace and the eigen value matrix can be obtained through singular value decomposition on the augmented matrix. To obtain more accurate signal vectors， a new noise subspace can be reconstructed by the eigenvectors associated with the new eigen value matrix. Finally， DOA estimation is completed through spectral peak searching. The proposed algorithm doesnot affect the estimation effect of independent signals. Compared with the IMMUSIC(improved multiple signal classification) algorithm， the proposed algorithm has higher estimation accuracy， especially under the conditions of low signal-to-noise ratio and small signal incidence interval. The simulation results show that even for the conditions of low signal-to-noise ratio and low sampling snapshot number， the improved algorithm can effectively estimate the DOA.

Key words: DOA(direction of arrival) estimation; coherent signals; augmented matrix; reconstruction; noise subspace; MUSIC(multiple signal classification) algorithm

中图分类号:

TN957.51

张石，许方晗，佘黎煌，刘平凡. 基于重构噪声子空间的相干信号DOA估计[J]. 东北大学学报（自然科学版）, 2021, 42(12): 1696-1700.

ZHANG Shi， XU Fang-han， SHE Li-huang， LIU Ping-fan. DOA Estimation of Coherent Signals Based on Reconstructed Noise Subspace[J]. Journal of Northeastern University(Natural Science), 2021, 42(12): 1696-1700.

参考文献

[1]Liu L T，Liu H.Joint estimation of DOA and TDOA of multiple reflections in mobile communications［J］.IEEE Access，2016，4:3815-3823.
[2]Gorcin A，Arslan H.A two-antenna single RF front-end DOA estimation system for wireless communications signals［J］.IEEE Transactions on Antennas and Propagation，2014，62(10):5321-5333.
[3]Jeong S H，Son B K，Lee J H.Asymptotic performance analysis of the MUSIC algorithm for direction-of-arrival estimation［J］. Applied Sciences，2020， 10(6):1-25.
[4]Mao W P，Li G L，Xie X，et al.DOA estimation of coherent signals based on direct data domain under unknown mutual coupling［J］.IEEE Antennas and Wireless Propagation Letters，2014，13:1525-1528.
[5]Zamani H，Zayyani H，Marvasti F.An iterative dictionary learning-based algorithm for DOA estimation［J］.IEEE Communications Letters，2016，20(9):1784-1787.
[6]Pillai S U，Kwon B H.Forward/backward spatial smoothing techniques for coherent signal identification［J］.IEEE Transactions on Acoustics，Speech，and Signal Processing，1989，37(1):8-15.
[7]石要武，陈淼，单泽涛，等.基于特征空间MUSIC算法的相干信号波达方向空间平滑估计［J］.吉林大学学报(工学版)，2017，47(1):268-273.(Shi Yao-wu，Chen Miao，Shan Ze-tao，et al.Spatial smoothing technique for coherent signal DOA estimation based on eigen space MUSIC algorithm［J］.Journal of Jilin University (Engineering and Technology Edition)，2017，47(1):268-273.)
[8]Qian C，Huang L，So H C.Improved unitary root-MUSIC for DOA estimation based on pseudo-noise resampling［J］.IEEE Signal Process Letters，2014，21(2):140-144.
[9]Chen H，Hou C P，Wang Q，et al.Cumulants-based Toeplitz matrices reconstruction method for 2-D coherent DOA estimation［J］.IEEE Sensors Journal，2014，14(8):2824-2832.
[10]Schmidt R O.Multiple emitter location and signal parameter estimation［J］.IEEE Transactions on Antennas and Propagation，1986，34(3):276-280.
[11]周小军，谭薇，冯大政，等.基于解相干的改进MUSIC算法DOA估计［J］.无线电工程，2014，44(12):18-21.(Zhou Xiao-jun，Tan Wei，Feng Da-zheng，et al.DOA estimation of improved MUSIC algorithm based on decorrelation signal［J］.Radio Engineering，2014，44(12):18-21.)
[12]Liu G H，Chen H，Sun X Y，et al.Modified MUSIC algorithm for DOA estimation with Nystrm approximation［J］.IEEE Sensors Journal，2016，16(12):4673-4674.
[13]Kundu D.Modified MUSIC algorithm for estimating DOA of signals［J］.Signal Processing，1996，48:85-89.
[14]Liu X Z，Song M Y，Yang Y H.An effective DOA estimation method of coherent signals based on reconstruct weighted noise subspace［C］// 29th Chinese Control and Decision Conference(CCDC).Chongqing，2017:2218-2222.

基于重构噪声子空间的相干信号DOA估计

DOA Estimation of Coherent Signals Based on Reconstructed Noise Subspace

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