基于幅度辅助的中国余数定理多目标多普勒频率估计算法

doi:10.3969/j.issn.1001-506X.2020.06.08

系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (6): 1261-1266.doi: 10.3969/j.issn.1001-506X.2020.06.08

基于幅度辅助的中国余数定理多目标多普勒频率估计算法

曹成虎¹(), 赵永波^1,²(), 庞晓娇¹(), 陈胜¹(), 胡毅立¹()

1. 西安电子科技大学雷达信号处理国家重点实验室, 陕西西安 710071
2. 西安电子科技大学信息感知技术协同创新中心, 陕西西安 710071

收稿日期:2019-09-05 出版日期:2020-06-01 发布日期:2020-06-01
作者简介:曹成虎(1987-),男,博士研究生,主要研究方向为阵列信号处理、目标检测与跟踪。E-mail:764161366@qq.com|赵永波(1972-),男,教授,博士生导师,博士,主要研究方向为阵列信号处理、雷达信号处理、MIMO雷达、米波雷达。E-mail:ybzhao@xidian.edu.cn|庞晓娇(1993-),女,博士研究生,主要研究方向为阵列信号处理、压缩感知。E-mail:1964230291@qq.com|陈胜(1993-),男,博士研究生,主要研究方向为雷达信号检测、雷达米波测高。E-mail:842561535@qq.com|胡毅立(1993-),男,博士研究生,主要研究方向为雷达信号检测、MIMO雷达。E-mail:huyili66@qq.com
基金资助:
高等学校学科创新引智计划(B18039)

Doppler frequencies estimation algorithm of multiple targets based on Chinese remainder theorem with amplitude aid

Chenghu CAO¹(), Yongbo ZHAO^1,²(), Xiaojiao PANG¹(), Sheng CHEN¹(), Yili HU¹()

1. National Laboratory of Radar Signal Processing, Xidian University, Xi'an 710071, China
2. Collaborative Innovation Center of Information Sensing and Understanding, Xidian University, Xi'an 710071, China

Received:2019-09-05 Online:2020-06-01 Published:2020-06-01
Supported by:
高等学校学科创新引智计划(B18039)

摘要/Abstract

摘要：

脉冲多普勒(pulsed Doppler, PD)雷达在低脉冲重复频率工作模式下,基于封闭式鲁棒中国余数定理(closed-form robust Chinese remainder theorem, CFRCRT)算法可以实现单目标多普勒频率快速且精确的估计,但由于多目标的频率余数与目标对应关系事先未知,往往对基于CFRCRT进行多目标多普勒频率估计带来困难。对此,基于幅度辅助利用聚类分析技术,提出频率余数分组匹配的方法,解决了基于CFRCRT多目标多普勒频率估计问题。针对频率余数分组匹配过程中,传统离散傅里叶变换的频谱泄露和栅栏效应导致匹配性能不高的问题,采用全相位离散傅里叶变换(all phase discrete Fourier transform, apDFT)实现高性能的频率余数分组匹配。理论分析和仿真结果表明,所提算法可以有效地实现PD雷达多目标多普勒频率估计。

关键词: 封闭式鲁棒中国余数定理, 多目标多普勒频率, 幅度辅助, 余数分组匹配, 全相位离散傅里叶变换

Abstract:

The Doppler frequency of one target can be estimated with low computation cost and high precision via closed-form robust Chinese remainder theorem (CFRCRT) when pulsed Doppler (PD) radar works with a low pulse repetition frequency. However, it brings difficulty for the method based on Chinese remainder theorem to estimate Doppler frequencies of multiple targets, because the correspondence between the detected targets and the wrapped frequencies is unknown in advance. The proposed algorithm, which is based on amplitude aid using clustering methodology, solves the problem of Doppler frequencies estimation of multiple targets. Additionally, because traditional discrete Fourier transform suffers from low matching precision due to spectrum leakage and picket fence effect, all phase discrete Fourier transform (apDFT) is proposed to match the frequency remainder with high performance. The theoretical analysis and simulation results validate the effectiveness of the proposed method for Doppler frequencies of multiple targets in PD radar.

Key words: closed-form robust Chinese remainder theorem (CFRCRT), multiple targets Doppler frequency, amplitude aid, remainder grouping matching (RGM), all phase discrete Fourier transform (apDFT)

中图分类号:

TN953

曹成虎, 赵永波, 庞晓娇, 陈胜, 胡毅立. 基于幅度辅助的中国余数定理多目标多普勒频率估计算法[J]. 系统工程与电子技术, 2020, 42(6): 1261-1266.

Chenghu CAO, Yongbo ZHAO, Xiaojiao PANG, Sheng CHEN, Yili HU. Doppler frequencies estimation algorithm of multiple targets based on Chinese remainder theorem with amplitude aid[J]. Systems Engineering and Electronics, 2020, 42(6): 1261-1266.

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目标	参数
目标	多普勒频率/kHz	幅度/V	相位/rad
1	124	3.0	0
2	310	5.0	0

基于幅度辅助的中国余数定理多目标多普勒频率估计算法

Doppler frequencies estimation algorithm of multiple targets based on Chinese remainder theorem with amplitude aid

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