计算机科学 ›› 2015, Vol. 42 ›› Issue (9): 78-82.doi: 10.11896/j.issn.1002-137X.2015.09.016

• 网络与通信 • 上一篇    下一篇

基于加权子空间投影的谱估计器分辨力研究

包建东,徐威利,胡伟伟,谢小敏   

  1. 南京理工大学机械工程学院 南京210094,南京理工大学机械工程学院 南京210094,南京理工大学机械工程学院 南京210094,南京理工大学机械工程学院 南京210094
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受江苏省高校研究生创新平台基金(cxlx12-0190)资助

Improving Resolution Ability of Spectral Estimator by Weighted Subspace Projection

BAO Jian-dong, XU Wei-li, HU Wei-wei and XIE Xiao-min   

  • Online:2018-11-14 Published:2018-11-14

摘要: 针对常规子空间类算法在低信噪比、小快拍数情况下分辨力差的问题,分别对信号和噪声子空间提出加权投影算法来加以改善。对于信号子空间,采用主特征值与噪声功率之差的倒数对其特征向量加权;对于噪声子空间,将导向矢量在噪声子空间正交基各元素上的投影值作为权值,对正交基各元素加权。仿真实验表明,这两种算法能有效降低信源分辨的信噪比和快拍数门限,在低信噪比与小快拍条件下具有较好的分辨力和测量精度。

关键词: DOA估计,子空间投影,加权算法,高分辨

Abstract: In order to improve the decreasing resolution ability under the environments like low signal noise ratio and small number of snapshots,two weighted projection methods were proposed respectively to signal subspace and noise subspace.The weighted values of signal subspace are reciprocal of margins between principle eigenvalues and noise power,and respective eigenvectors are weighted with them.To noise subspace,the elements of orthonormal basis are weighted with projection values which are gained by projecting integral value of steering vector in field of view to each element of orthonormal basis.Simulation results show that the proposed methods can decrease signal noise ratio threshold and snapshots threshold,so they have better resolution ability and higher precision in deficient snapshot and low signal noise ratio scenario.

Key words: Direction of arrival estimation(DOA estimation),Subspace projection,Weighted algorithm,High resolution

[1] Haykin S,Reilly J P,Kezys V,et al.Some aspects of array signalprocessing [J].IEE Proceedings Radar and Signal Processing ,1992,139(l):1-26
[2] Krim H,Viberg M.Two decades of array signal processing research:the parametric approach [J].IEEE Signal Processing Magazine,1996,13(4):67-94
[3] Capon J.High-resolution frequency wave-number spectrumanalysis [J].Proceeding of the IEEE,1969,57(8):1408-1418
[4] Schmidt R O.Multiple emitter location and signal parameter estimation [J].IEEE Transactions on Antennas and Propagation,1986,34(3):276-280
[5] Bohme J F.Estimation of source parameters by maximum likelihood and nonlinear regression[C]∥ICASSP.1984,9:271-274
[6] Cadzow J A.A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources [J].IEEE Trans.on ASSP,1988,36(7):965-979
[7] McCloud M L,Scharf L L.A new subspace identification algorithm for high resolution DOA estimation [J].IEEE Trans.on Antenna and Propagation,2002,50(10):1382-1390
[8] Mestr,Lagunas.Modified subspace algorithms for DOA estimation with large arrays [J].IEEE Trans.on Signal Processing,2008,56(2):598-614
[9] 王布宏,王永良,陈辉.利用局域子空间投影提高子空间类DOA估计算法的谱分辨力[J].电子学报,2003,1(3):459-463 Wang Bu-hong,Wang Yong-liang,Chen Hui.Improving spectral resolution of subspace-based DOA estimation algorithms by localized subspace projection[J].ACTA Electronica Sinica,2003,31(3):459-463
[10] 游鸿,黄建国,金勇,等.基于加权信号子空间投影的MUSIC改进算法[J].系统工程与电子技术,2008,0(5):792-794 You Hong,Huang Jian-guo,Jin Yong,et al.Improving MUSIC performance in snapshot deficient scenario via weighted signal-subspace projection [J].Systems Engineering and Electronics,2008,30(5):792-794
[11] 司伟建,蓝晓宇.基于谱函数二阶导数的波达方向估计算法[J].系统工程与电子技术,2011,3(7):1434-1437 Si Wei-jian,Lan Xiao-yu.Algorithm for DOA Estimation using second derivative of Spectrum [J].Systems Engineering and Electronics,2011,33(7):1434-1437

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!