信号波形已知条件下多目标直接定位性能分析及其改进算法

doi:10.3969/j.issn.0372-2112.2017.12.008

电子学报 ›› 2017, Vol. 45 ›› Issue (12): 2881-2889.DOI: 10.3969/j.issn.0372-2112.2017.12.008

信号波形已知条件下多目标直接定位性能分析及其改进算法

王鼎^1,2, 吴志东¹, 尹洁昕^1,2

1. 解放军信息工程大学信息系统工程学院, 河南郑州 450001;
2. 国家数字交换系统工程技术研究中心, 河南郑州 450002

收稿日期:2016-02-16 修回日期:2017-05-07 出版日期:2017-12-25
- 通讯作者:
- 尹洁昕
- 作者简介:
- 王鼎,男,1982年生于安徽芜湖,博士(后).现为解放军信息工程大学信息系统工程学院副教授.主要研究方向为无源定位和阵列信号处理.E-mail:wang-ding814@aliyun.com;吴志东,男,1986年生于河南汤阴,海军工程大学博士.现为解放军信息工程大学信息系统工程学院讲师.主要研究方向为无源定位和阵列信号处理.E-mail:3092004009wzd@163.com
- 基金资助:
- 国家自然科学基金 (No.61201381，No.61401513）; 中国博士后科学基金面上项目 (No.2016M592989）; 信息工程大学优秀青年基金 (No.2016603201）; 信息工程大学自主科研基金 (No.2016600701）; 某部内科研项目 (No.2015201001，No.2015502801，No.2015205901）

A Performance Analysis and Improvement Algorithm for Multiple-Source Direct Localization with Known Signal Waveforms

WANG Ding^1,2, WU Zhi-dong¹, YIN Jie-xin^1,2

1. School of Information System Engineering, PLA Information Engineering University, Zhengzhou, Henan 450001, China;
2. National Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan 450002, China

Received:2016-02-16 Revised:2017-05-07 Online:2017-12-25 Published:2017-12-25
- Supported by:
- National Natural Science Foundation of China (No.61201381, No.61401513); General Program supported by China Postdoctoral Science Foundation (No.2016M592989); Excellent Youth Fund of Information Engineering University (No.2016603201); Independent Research Fund of Information Engineering University (No.2016600701); Research Projects Within a Department (No.2015201001, No.2015502801, No.2015205901)

摘要/Abstract

摘要： 相比传统"测向+位置估计"两步定位体制，以Weiss和Amar提出的目标直接定位技术具有精度高、分辨能力强等优点，并且便于利用信号波形信息.该文首先针对Weiss和Amar提出的信号波形已知条件下的多目标直接定位算法（称为Weiss-Amar算法）进行理论性能分析，证明了其参数估计的渐近一致性，推导了其参数估计的渐近方差，并指出当不同目标信号波形相关时会对算法性能产生较大影响.针对这一缺点，文中提出了信号波形已知条件下的改进型多目标直接定位算法，与Weiss-Amar算法不同的是，改进算法对全部目标的位置参数进行协同估计，并且通过交替投影迭代进行数值优化，能显著提高对相关信号的定位精度.最后文中推导了信号波形已知条件下多目标位置直接估计方差的克拉美罗界.仿真实验验证了文中理论分析的有效性和改进算法的优越性.

关键词: 无源定位, 位置直接估计, 信号波形, 理论性能分析, 克拉美罗界, 交替投影

Abstract: Compared to the conventional two-step (including direction finding and position estimation) localization mechanism,the direct position determination (DPD) approach presented by Weiss and Amar has lower estimation errors and stronger resolution capability.Moreover,this technique provides a more convenient way to incorporate the signal waveform information.In this paper,the theoretical performance of the DPD algorithm presented by Weiss and Amar (called Weiss-Amar algorithm) is studied analytically.The asymptotical consistency is proved and the closed-form expression of the estimation variance is derived based on the error perturbation analysis method.It is also noted that the localization accuracy of this algorithm will decrease if the signals are correlated with each other.In order to solve this problem,an improved DPD algorithm is proposed for the case of known waveforms.In the new algorithm,the position parameters of all targets are considered as a whole to be estimated by using the alternating projection iteration.The performance improvement compared to the Weiss-Amar algorithm is remarkable for correlated signals.Furthermore,the Cramér-Rao bound (CRB) on the direct position estimation in presence of known waveforms is also deduced.Simulation results corroborate the effectiveness of the theoretical analysis and the advantage of the proposed algorithm.

Key words: passive localization, direct position determination (DPD), signal waveform, theoretical performance analysis, Cramér-Rao Bound (CRB), alternating projection

中图分类号:

TN911.7

王鼎, 吴志东, 尹洁昕. 信号波形已知条件下多目标直接定位性能分析及其改进算法[J]. 电子学报, 2017, 45(12): 2881-2889.

WANG Ding, WU Zhi-dong, YIN Jie-xin . A Performance Analysis and Improvement Algorithm for Multiple-Source Direct Localization with Known Signal Waveforms[J]. Acta Electronica Sinica, 2017, 45(12): 2881-2889.

参考文献

[1] Weiss A J.Direct geolocation of wideband emitters based on delay and Doppler[J].IEEE Transactions on Signal Processing,2011,59(6):2513-5520.
[2] Amar A,Weiss A J.Localization of narrowband radio emitters based on Doppler frequency shifts[J].IEEE Transactions on Signal Processing,2008,56(11):5500-5508.
[3] 王鼎,张刚.一种基于窄带信号多普勒频率测量的运动目标直接定位方法[J].电子学报,2017,45(3):591-598. Wang Ding,Zhang Gang.A direct localization method for moving narrowband source based on Doppler frequency shifts[J].Acta Electronic Sinica,2017,45(3):591-598.(in Chinese)
[4] Weiss A J.Direct position determination of narrowband radio frequency transmitters[J].IEEE Signal Processing Letters,2004,11(5):513-516.
[5] Weiss A J,Amar A.Direct position determination of multiple radio signals[J].EURASIP Journal on Applied Signal Processing,2005,2005(1):37-49.
[6] Amar A,Weiss A J.Direct position determination in the presence of model errors-known waveforms[J].Digital Signal Processing,2006,16(1):52-83.
[7] Oispuu M,Nickel U.Direct detection and position determination of multiple sources with intermittent emission[J].Signal Processing,2010,90(12):3056-3064.
[8] Li J,Compton R T.Maximum likelihood angle estimation for signals with known waveforms[J].IEEE Transactions on Signal Processing,1993,41(9):2850-2862.
[9] Li J,Halder B,Stoica P,et al.Computationally efficient angle estimation for signals with known waveforms[J].IEEE Transactions on Signal Processing,1995,43(9):2154-2163.
[10] Wang D,Wu Y.Sensor array calibration method in presence of gain/phase uncertainties and position perturbations using the spatial and time-domain information of the auxiliary sources[J].Multidimensional Systems and Signal Processing,2015,26(3):835-868.
[11] Stoica P,Nehorai A.MUSIC,maximum likelihood,and Cramér-Rao bound[J].IEEE Transactions on Acoustics,Speech and Signal Processing,1989,37(5):720-741.
[12] Swindlehurst A,Kailath T.A performance analysis of subspace-based methods in the presence of model errors,part I:the MUSIC algorithm[J].IEEE Transactions on Signal Processing,1992,40(7):1758-1773.
[13] Swindlehurst A,Kailath T.A performance analysis of subspace-based methods in the presence of model errors:part Ⅱ-Multidimensional algorithm[J].IEEE Transactions on Signal Processing,1993,41(9):2882-2890.
[14] Ho K C,Chan Y T.Geolocation of a known altitude object from TDOA and FDOA measurements[J].IEEE Transactions on Aerospace and Electronic Systems,1997,33(3):770-783.
[15] Wang D,Wu Y.Statistical performance analysis of direct position determination method based on doppler shifts in presence of model errors[J].Multidimensional Systems and Signal Processing,2017,28(1):149-182.
[16] Ferreol 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.
[17] Ferreol A,Larzabal P,Viberg M.Statistical analysis of the MUSIC algorithm in the presence of modeling errors,taking into account the resolution probability[J].IEEE Transactions on Signal Processing,2010,58(8):4156-4166.
[18] Ziskind T,Wax M.Maximum likelihood localization of multiple sources by alternating projections[J].IEEE Transactions on Acoustics,Speech and Signal Processing,1988,36(10):1553-1560.
[19] Stoica P,Larsson E G.Comments on "Linearization method for finding Cramér-Rao bounds in signal processing"[J].IEEE Transactions on Signal Processing,2001,49(12):3168-3169.
[20] Liu Z M.Conditional Cramér-Rao lower bounds for DOA estimation and array calibration[J].IEEE Signal Processing Letter,2014,24(3):361-364.
[21] Pesavento M,Gershman A B,Wong K M.Direction finding in partly calibrated sensor arrays composed of multiple subarrays[J].IEEE Transactions on Signal Processing,2002,50(9):2103-2115.

信号波形已知条件下多目标直接定位性能分析及其改进算法

A Performance Analysis and Improvement Algorithm for Multiple-Source Direct Localization with Known Signal Waveforms

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