2014 年 2 月 Journal on Communications February 2014
第 35 卷第 2 期
通 信 学 报
Vol.35
No. 2
IR-UWB 系统中基于 root-MUSIC 算法的 TOA 和 DOA 联合估计
王方秋
1
,张小飞
1,2
,汪飞
1
(1.南京航空航天大学 电子信息工程学院,江苏 南京 210016;
2.
南京航空航天大学 雷达成像与微波光子技术教育部重点实验室,江苏 南京 210016)
摘 要:针对二维多重信号分类算法可以估计出系统的到达时间(TOA, time-of-arrival)和波达方向(DOA, direction-
of-arrival) 参 数 , 但 需 要 复 杂 度 非 常 高 的 二 维 谱 峰 搜 索 这 一 问 题 , 提 出 了 IR-UWB 系 统 中 基 于 求 根
MUSIC(root-MUSIC)的 TOA 和 DOA 联合估计算法,该算法对接收信号的频域形式建模,先估计出 TOA,然后
由 TOA 的差值计算出 DOA,从而实现 TOA 和 DOA 的联合估计。该算法不需谱峰搜索,可直接给出估计参数的
闭式解,还可实现参数配对。还推导了参数估计的误差方差。仿真结果表明,该算法的参数估计性能明显优于矩
阵束算法、传播算子算法以及基于旋转不变技术估计信号参数算法,并且非常接近于 2D-MUSIC 算法,但该算法
的复杂度却远远低于 2D-MUSIC 算法。
关键词:到达时间;波达方向;脉冲超宽带;多重信号分类
中图分类号:TP391.9 文献标识码:A 文章编号:1000-436X(2014)02-0137-09
Root-MUSIC-based joint TOA and DOA estimation in IR-UWB
WANG Fang-qiu
1
, ZHANG Xiao-fei
1,2
, WANG Fei
1
(1. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
2. Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China)
Abstract: The parameters can be estimated via two-dimensional (2D) multiple signal classification (MUSIC) algorithm,
in which the two-dimensional spectral peak searching, however, requires much higher computational complexity. Aiming
at this, an algorithm of root-MUSIC-based joint TOA and DOA estimation in IR-UWB system was proposed. After mod-
eling the received signals in the frequency-domain, the algorithm estimated the TOA parameters first, and then the DOA
parameters via the difference of the TOA was obtained, thereby the joint TOA and DOA estimation was gained. This al-
gorithm does not need spectral peak searching and can obtain the closed-form solutions of the TOAs and DOAs. More-
over, it can get the parameters paired. In addition, the error variances of the estimated parameters were derived. The
simulation results show that the proposed algorithm has much better performance than matrix pencil algorithm, propaga-
tor method and estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm, and has almost
the same performance as 2D-MUSIC algorithm, while the complexity of the proposed algorithm has far lower than that of
2D-MUSIC algorithm.
Key words: time-of-arrival; direction-of-arrival; impulse radio ultra wideband; multiple signal classification
收稿日期:2012-12-24;修回日期:2013-08-21
基金项目:国家自然科学基金资助项目(61371169);江苏省博士后科研计划基金资助项目(1201039C);
项目(2012M521099);厦门大学水声通信与海洋信息技术教育部重点实验室开放课题基金资助项目;
点实验室开放课题基金资助项目(IWC2012002);无损检测技术教育部重点实验室(南昌航空大学)基金资助项目;
势学科建设工程基金资助项目;中央高校基本科研业务费专项基金资助项目(NZ2012010);
地(实验室)开放基金资助项目(kfjj120115)
Foundation Items: The National Natural Science Foundation of China (61371169); Jiangsu Planned Projects for Postdoctoral R
search Funds (1201039C); China Postdoctoral Science Foundation (2012M521099); Open Project
of Key Laboratory of Underwater
Acoustic Communication and Marine Information Technology (Xiamen University);
Hubei Key Laboratory of Intelligent Wire1ess
Communications (IWC2012002); Open Project of Key Laboratory of Nondestructive Testing (Nanchang Hangkong University);
Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions; The Fundamental R
search Funds for the Central Universities (NZ2012010); The Foundation of Graduate Innovation Center on NUAA (kfjj120115)
doi:10.3969/j.issn.1000-436x.2014.02.018