阵列模型误差影响下ESPRIT算法的二阶性能分析

doi:10.3969/j.issn.0372-2112.2012.10.039

电子学报 ›› 2012, Vol. 40 ›› Issue (10): 2133-2139.DOI: 10.3969/j.issn.0372-2112.2012.10.039

阵列模型误差影响下ESPRIT算法的二阶性能分析

王鼎, 姚晖, 吴瑛

解放军信息工程大学信息工程学院, 河南郑州 450002

收稿日期:2010-09-20 修回日期:2012-06-25 出版日期:2012-10-25
- 作者简介:
- 王鼎 男,1982年生于安徽芜湖,博士,信息工程大学讲师,感兴趣的研究方向:现代信号处理. E-mail:wang_ding814@yahoo.com.cn吴瑛女,1960年生于河南郑州,信息工程大学教授,博士生导师,感兴趣的研究方向:现代信号处理. E-mail:hnwuying22@163.com 姚晖 男,1985年生于江西上饶,现为信息工程大学博士研究生,感兴趣的研究方向:阵列信号处理. E-mail:yaohui56@sina.com
- 基金资助:
- 信息工程大学博士研究生学位论文创新基金 (No.BSLWCX200801); 信息工程学院未来发展基金 (No.YP12JJ202057)

A Second-Order Performance Analysis of the ESPRIT Algorithm in Presence of Array Modeling Errors

WANG Ding, YAO Hui, WU Ying

Institute of Information Engineering, PLA Information Engineering University, Zhengzhou, Henan 450002, China

Received:2010-09-20 Revised:2012-06-25 Online:2012-10-25 Published:2012-10-25
- Supported by:
- Doctoral Dissertation Innovation Fund of Information Engineering University (No.BSLWCX200801); Peking University School of Electronic and Computer Engineering Future Development Fund (No.YP12JJ202057)

摘要/Abstract

摘要： 针对阵列模型误差扰动的影响,该文对ESPRIT算法的方位估计性能进行二阶性能分析(即忽略模型误差扰动量的三次及以上各项).与经典分析方法(即一阶分析方法)相比,文中的性能分析方法能够在模型误差扰动较大的情况下提高性能预测精度.此外,文中的理论推导不仅针对阵列流形失配的情况,还针对阵元噪声模型失配的情形.数值实验表明:在较大模型误差的条件下,文中的二阶性能分析方法能够提高对ESPRIT算法的性能预测精度.

关键词: ESPRIT算法, 模型误差, 二阶性能分析, 阵列流形失配, 噪声模型失配

Abstract: Aiming at the effects of the array modeling errors,the second-order performance analysis method (i.e.,discarding the third-order and higher-order terms of the modeling errors) for the ESPRIT algorithm is proposed in this paper.Compared to the classical analysis method (i.e.,the first-order analysis method),the second-order analysis method can yield higher performance prediction precision,especially in the presence of large modeling errors.In addition,the presented analysis method is not only suitable for the case of the array manifold mismatch,but also applies to the case of the sensor noise model mismatch.The numerical experiments verify the superiority of the second-order performance analysis method in the presence of large modeling errors.

Key words: ESPRIT algorithm, modeling errors, second-order performance analysis, array manifold mismatch, noise model mismatch

中图分类号:

TN911.7

王鼎, 姚晖, 吴瑛. 阵列模型误差影响下ESPRIT算法的二阶性能分析[J]. 电子学报, 2012, 40(10): 2133-2139.

WANG Ding, YAO Hui, WU Ying . A Second-Order Performance Analysis of the ESPRIT Algorithm in Presence of Array Modeling Errors[J]. Acta Electronica Sinica, 2012, 40(10): 2133-2139.

参考文献

[1] ROY R,KAILATH T.ESPRIT—estimation of signal parameters via rotational invariance techniques [J].IEEE Transactions on Acoustics,Speech and Signal Processing,1989,37(7):984-995.
[2] 肖维民,彭应宁.两种快速ESPRIT算法[J].电子学报,1995,23(7):102-104. XIAO Wei-min,PENG Ying-ning.Two fast ESPRIT algorithm [J].Acta Electronica Sinica,1995,23(7):102-104.(in Chinese)
[3] STOICA P,NEHORAI A.Performance comparison of subspace rotation and MUSIC methods for direction estimation[J].IEEE Transactions on Signal Processing,1991,39(2):446-453.
[4] OTTERSTEN B,VIBERG M,KAILATH T.Performance analysis of the total least squares ESPRIT algorithm [J].IEEE Transactions on Signal Processing,1991,39(5):1122-1135.
[5] LI F,VACCARO R J,TUFTS D W.Performance analysis of the state-space realization (TAM) and ESPRIT algorithms for DOA estimation [J].IEEE Transactions on Antennas and Propagation,1991,39(3):418-423.
[6] LI F,LIU H,VACCARO R J.Performance analysis for DOA estimation algorithms:unification,simplification and observations [J].IEEE Transactions on Aerospace and Electronic Systems,1993,29(4):1170-1184.
[7] SWINDLEHURST A,KAILATH T.On the sensitivity of the ESPRIT algorithm to non-identical subarrays [J].Sadhana,1990,15(3):197-212.
[8] SWINDLEHURST A,KAILATH T.A performance analysis of subspace-based methods in the presence of model errors:part II—multidimensional algorithms [J].IEEE Transactions on Signal Processing,1993,41(9):2882-2890.
[9] SOON V C,HUANG Y F.An analysis of ESPRIT under random sensor uncertainties [J].IEEE Transactions on Signal Processing,1992,40(9):2353-2358.
[10] LI F,LU Y.Bias analysis for ESPRIT-type estimation algorithms [J].IEEE Transactions on Antennas and Propagation,1994,42(3):418-423.
[11] FERRéOL A,LARZABAL P,VIBERG M.On the asymptotic performance analysis of subspace DOA estimation in the presence of modeling errors:case of MUSIC [J].IEEE Transactions on Signal Processing,2006,54(3):907-920.
[12] FERRéOL A,LARZABAL P,VIBERG M.On the resolution probability of MUSIC in presence of modeling errors [J].IEEE Transactions on Signal Processing,2008,56(5):1945-1953.
[13] FERRéOL A,LARZABAL P,VIBERG M.Statistical analysis of the MUSIC algorithm in the presence of modeling errors:taking into account the resolution probability.IEEE Transactions on Signal Processing,2010,58(8):4156-4166.
[14] FERRéOL A,LARZABAL P,VIBERG M.Performance prediction of maximum-likelihood direction-of-arrival estimation in the presence of modeling errors [J].IEEE Transactions on Signal Processing,2008,56(10):4785-4793.

阵列模型误差影响下ESPRIT算法的二阶性能分析

A Second-Order Performance Analysis of the ESPRIT Algorithm in Presence of Array Modeling Errors

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

编辑推荐

Metrics

[1]	陈鑫, 王鼎, 唐涛, 尹洁昕, 吴瑛. 阵列模型误差条件下直接定位性能分析及偏差修正方法[J]. 电子学报, 2019, 47(8): 1633-1642.
[2]	李丽, 邱天爽. 脉冲噪声环境下基于宽带模糊函数的双基地MIMO雷达目标参数估计新方法[J]. 电子学报, 2016, 44(12): 2842-2848.
[3]	李丽, 邱天爽. 双基地MIMO雷达收发角和多普勒频率参数的联合估计方法[J]. 电子学报, 2013, 41(12): 2462-2467.
[4]	刘楠;张娟;张林让;申东. 一种适用于MIMO雷达的低复杂度二维DOA估计方法[J]. 电子学报, 2012, 40(3): 505-511.
[5]	刘剑;于红旗;黄知涛;周一宇. 模型误差对非圆信号测向MUSIC算法性能的影响[J]. 电子学报, 2008, 36(12): 2280-2284.