基于响应估计频域拟合的通道均衡方法

doi:10.12305/j.issn.1001-506X.2022.03.01

系统工程与电子技术 ›› 2022, Vol. 44 ›› Issue (3): 713-721.doi: 10.12305/j.issn.1001-506X.2022.03.01

• 电子技术 • 下一篇

基于响应估计频域拟合的通道均衡方法

汪争志^1,*, 杨志伟^1,², 范志豪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协同创新中心, 陕西西安 710071

收稿日期:2020-08-22 出版日期:2022-02-25 发布日期:2022-03-10
通讯作者: 汪争志
作者简介:汪争志(1994—), 男, 硕士研究生, 主要研究方向为阵列信号处理、极化处理|杨志伟(1980—), 男, 教授, 博士，主要研究方向为阵列信号处理、地面动目标检测、极化处理|范志豪(1996—), 男, 硕士研究生, 主要研究方向为阵列信号处理、极化处理
基金资助:
国家自然科学基金(61671352);国家自然科学基金(61801373);上海空间技术研究院创新基金(SAST2018043);上海空间技术研究院创新基金(SAST2019036)

Channel equalization method based on response estimation and frequency domain fitting

Zhengzhi WANG^1,*, Zhiwei YANG^1,², Zhihao FAN¹

1. National Key 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:2020-08-22 Online:2022-02-25 Published:2022-03-10
Contact: Zhengzhi WANG

摘要/Abstract

摘要：

阵列各个天线、射频组件等在大信号带宽下引起的响应不同, 造成了通道的不一致性, 使得阵列的谱估计性能严重恶化。针对内定标无法校准天线馈线、已有外校准方法的性能受噪声影响严重和盲自适应过程依赖参考信号的问题, 提出基于单一外部线性调频连续三角波信号源响应估计频域拟合的通道均衡方法。首先通过滑动协方差矩阵特征值分解和已知信源的理想导向矢量得到通道响应的粗估计, 然后基于最小二乘准则利用谐波模型拟合得到通道响应的精准估计, 最后结合带外线性扩展和频域多项式拟合得到均衡器响应。实测数据处理结果表明, 在谱估计时利用所提方法均衡通道不一致性比其他方法有更高的输出信噪比和更小的角度估计均方误差。

关键词: 响应估计, 通道均衡, 通道失配, 频域拟合

Abstract:

The response of each antenna and radio frequency component of the array is different under large signal bandwidth, resulting in channel inconsistency and serious deterioration of the spectrum estimation performance of the array. Aiming at the problems that the antenna feeder cannot be calibrated by internal calibration, the performance of the existing external calibration methods is seriously affected by noise, and the blind adaptive process depends on the reference signal, a channel equalization method based on frequency domain fitting of response estimation of single external linear frequency modulation continuous triangular wave signal source is proposed. Firstly, the rough estimation of the channel response is obtained by the eigenvalue decomposition of the sliding covariance matrix and the ideal guidance vector of the known source. Then, based on the least square criterion, the accurate estimation of the channel response is obtained by harmonic model fitting. Finally, the equalizer response is obtained by combining out of band linear expansion and frequency domain polynomial fitting. The measured data processing results show that the proposed method has higher output signal to noise ratio and smaller angle estimation mean square error than other methods.

Key words: response estimation, channel equalization, channel mismatch, frequency domain fitting

中图分类号:

TN958.92

汪争志, 杨志伟, 范志豪. 基于响应估计频域拟合的通道均衡方法[J]. 系统工程与电子技术, 2022, 44(3): 713-721.

Zhengzhi WANG, Zhiwei YANG, Zhihao FAN. Channel equalization method based on response estimation and frequency domain fitting[J]. Systems Engineering and Electronics, 2022, 44(3): 713-721.

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响应误差		通道幅相误差的均值/均方根值
响应误差		通道1	通道2	通道3	通道4	通道5	通道6
幅度误差	接收数据	4.417 8e-05/0.025 5	0/0	5.386 2e-06/0.033 0	4.836 2e-05/0.023 7	3.391 5e-05/0.028 6	2.496 4e-05/0.032 9
幅度误差	拟合估计响应	4.529 4e-17/0.003 0	0/0	-5.079 3e-17/0.003 1	1.963 7e-17/0.002 6	-4.336 8e-17/0.003 0	-3.540 6e-17/0.005 1
相位误差	接收数据	-5.999 7e-07/0.033 8	0/0	-4.845 3e-06/0.044 2	-3.417 7e-06/0.034 4	-1.706 3e-05/0.034 5	-3.645 1e-06/0.054 9
相位误差	拟合估计响应	-4.026 3e-17/0.011 5	0/0	-4.473 9e-17/0.011 1	-2.621 2e-17/0.008 5	1.890 8e-17/0.006 2	1.922 1e-17/0.014 3

均衡方法		通道剩余失配的均值/均方根值
均衡方法		通道1	通道2	通道3	通道4	通道5	通道6
幅度剩余失配	接收数据	1.021 9/0.136 4	1/0	0.947 3/0.135 2	0.868 8/0.089 8	1.034 7/0.169 2	0.660 7/0.115 7
	本文方法	1.004 2/0.131 7	1.000 1/0.001 7	1.005 0/0.138 4	1.002 6/0.100 7	1.005 9/0.148 7	1.007 4/0.175 8
	频域最小二乘法	0.964 3/0.200 2	1/0	0.982 4/0.268 8	0.995 3/0.198 8	0.971 3/0.169 4	0.932 5/0.338 2
	傅里叶变换法	1.003 5/-0.211 1	1/0	1.047 8/0.304 5	1.004 9/0.207 5	1.106 6/0.216 1	0.969 9/0.356 4
相位剩余失配	接收数据	-0.606 1/0.126 6	0/0	-0.528 5/0.143 8	-0.627 0/0.100 0	-0.783 2/0.230 8	-0.489 1/0.169 9
	本文方法	0.000 1/0.113 8	0/0	-0.002 2/0.121 4	-0.003 0/0.092 7	-0.000 1/0.120 1	-0.002 5/0.143 3
	频域最小二乘法	0.004 4/0.196 4	0/0	0.037 9/0.242 3	0.002 2/0.214 2	0.048 5/0.207 2	0.097 7/0.298 6
	傅里叶变换法	-0.044 8/0.201 6	0/0	-0.019 2/0.253 5	-0.083 3/0.218 8	0.043 6/0.288 8	0.116 0/0.299 9

基于响应估计频域拟合的通道均衡方法

Channel equalization method based on response estimation and frequency domain fitting

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