基于单快拍空间平滑的多伯努利DOA跟踪算法

doi:10.12305/j.issn.1001-506X.2021.09.08

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (9): 2430-2438.doi: 10.12305/j.issn.1001-506X.2021.09.08

基于单快拍空间平滑的多伯努利DOA跟踪算法

吴孙勇^1,^2,*, 邹宝红¹, 薛秋条¹, 孙希延², 王力¹

1. 桂林电子科技大学数学与计算科学学院, 广西桂林 541004
2. 广西信息科学实验中心, 广西桂林 541004

收稿日期:2020-09-03 出版日期:2021-08-20 发布日期:2021-08-26
通讯作者: 吴孙勇
作者简介:吴孙勇(1981—), 男, 教授, 博士, 主要研究方向为多目标跟踪、阵列信号处理|邹宝红(1995—), 女, 硕士研究生, 主要研究方向为阵列信号处理|薛秋条(1978—), 女, 讲师, 硕士, 主要研究方向为多目标跟踪|孙希延(1973—), 女, 研究员, 博士, 主要研究方向为卫星导航与卫星通信|王力(1995—), 男, 硕士研究生, 主要研究方向为信息融合
基金资助:
国家自然科学基金(11661024);国家自然科学基金(61861008);广西自然科学基金(2016GXNSFAA380073);广西研究生教育创新计划(2020YCXS084);广西高校数据分析与计算重点实验室开放基金项目资助课题

DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli

Sunyong WU^1,^2,*, Baohong ZOU¹, Qiutiao XUE¹, Xiyan SUN², Li WANG¹

1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
2. Guangxi Information Science Experiment Center, Guilin 541004, China

Received:2020-09-03 Online:2021-08-20 Published:2021-08-26
Contact: Sunyong WU

摘要/Abstract

摘要：

针对阵列信号处理中单快拍情况下的多源时变波达方向(direction of arrival, DOA)跟踪问题, 提出了一种基于单快拍空间平滑的多伯努利DOA跟踪算法。首先，利用多伯努利随机有限集(random finite set, RFS)描述状态过程的随机性, 并直接利用从传感器阵列中获得单快拍量测。其次, 采用空间平滑技术对单快拍量测进行处理, 得到伪协方差矩阵, 并进行奇异值分解。最后，用多重信号分类(multiple signal classification, MUSIC)谱函数作为伪似然函数进行多伯努利DOA跟踪。仿真结果表明, 该算法能实时有效跟踪单快拍量测下的时变信源DOA状态, 且能准确估计信源个数。

关键词: 波达方向跟踪, 多伯努利滤波器, 空间平滑, 伪似然函数

Abstract:

Aiming at the problem of multisource time-varying direction of arrival (DOA) tracking in the case of single snapshot in array signal processing, a multi-Bernoulli filter DOA tracking algorithm based on single snapshot spatial smoothing is proposed. Firstly, the Bernoulli random finite set (RFS) is employed to characterize the randomness of the state process, and a single snapshot measurement is acquired directly from the sensor array. Then, the space smoothing technology is used to preprocess the single snapshot measurement. According to the data of after the smooth pseudo covariance matrix is constructed and singular value decomposition. Finally, the multiple signal classification (MUSIC) spectrum function is generated as a pseudo-likelihood function for multi-Bernoulli recursive DOA tracking. The simulation results show that the algorithm can effectively track the DOA state of time-varying sources in real-time and accurately estimate the number of sources.

Key words: direction of arrival (DOA) tracking, multi-Bernoulli filter, spatial smoothing, pseudo-likelihood function

中图分类号:

TN911.7

吴孙勇, 邹宝红, 薛秋条, 孙希延, 王力. 基于单快拍空间平滑的多伯努利DOA跟踪算法[J]. 系统工程与电子技术, 2021, 43(9): 2430-2438.

Sunyong WU, Baohong ZOU, Qiutiao XUE, Xiyan SUN, Li WANG. DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli[J]. Systems Engineering and Electronics, 2021, 43(9): 2430-2438.

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目标	目标轨迹情况
目标	出生位置	出生时间/s	死亡时间/s
目标1	[50，-0.5]	1	45
目标2	[5, 0]	5	25
目标3	[15, 1]	10	40
目标4	[-30，0.8]	35	50
目标5	[-10，-0.2]	5	20
目标6	[20，-0.5]	30	50

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基于单快拍空间平滑的多伯努利DOA跟踪算法

DOA tracking algorithm based on single snapshot spatial smoothing with multi-Bernoulli

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