宽带数字阵列雷达通道固定时延误差估计技术的研究

doi:10.11959/j.issn.1000-436x.2023067

Abstract

Abstract:

A channel-fixed delay error estimation method was proposed to tackle the performance degradation of digital beamforming caused by the channel-fixed delay error of wideband digital array radar.First, the integer part of the fixed delay of the channel was estimated through the correlation integral peak of the baseband transmitted signal and the baseband received signal containing unknown delay parameters.Then, the fractional part of the fixed delay of the channel was estimated with parabolic interpolation by using the correlation peak and its adjacent two points.Finally, the multi-channel fixed delay error was calculated and compensated.The simulation results show that the multi-channel fixed delay estimation of wideband digital array radar can be realized on Xilinx xcku115.The estimative precision can reach 0.001～0.014 times the sampling gap when the signal-to-noise ratio of the input signal is 10～30 dB.The proposed method can meet the engineering application requirements and improve the performance of digital beamforming in wideband digital array radar.

Key words: digital array radar, channel delay estimation, maximum likelihood estimation, parabolic interpolation

CLC Number:

TN967.51

Xiaobei ZHANG, Quan ZHANG, Ming FANG, Kun QIN, Qi ZHANG. Research on channel-fixed delay error estimation of wideband digital array radar[J]. Journal on Communications, 2023, 44(3): 24-32.

Figures/Tables 15

References 31

[1]	DASAN M , PRUSTY G , MACHANI A ,et al. Beam squint mitigation using digital beam formers for wideband radar applications[C]// Proceedings of 2021 2nd International Conference on Range Technology. Piscataway:IEEE Press, 2021: 1-6.
[2]	KNAPP C , CARTER G . The generalized correlation method for estimation of time delay[J]. IEEE Transactions on Acoustics,Speech,and Signal Processing, 1976,24(4): 320-327.
[3]	HERO A , SCHWARTZ S . A new generalized cross correlator[J]. IEEE Transactions on Acoustics,Speech,and Signal Processing, 1985,33(1): 38-45.
[4]	ASHTEKAR S , KUMAR P , BHARATH K P ,et al. Study of generalized cross correlation techniques for direction finding of wideband signals[C]// Proceedings of 2021 5th International Conference on Computing Methodologies and Communication. Piscataway:IEEE Press, 2021: 707-714.
[5]	LEE B , SAID A , KALKER T ,et al. Maximum likelihood time delay estimation with phase domain analysis in the generalized cross correlation framework[C]// 2008 Hands-Free Speech Communication and Microphone Arrays. Piscataway:IEEE Press, 2008: 89-92.
[6]	邱天爽, 王宏禹 . 一种维纳加权的广义相关自适应时间延迟估计方法[J]. 通信学报, 1996,17(2): 110-115.
	QIU T S , WANG H Y . A wiener weighted adaptive time delay estimation[J]. Journal on Communications, 1996,17(2): 110-115.
[7]	LEE B G , CHOI J . Modified cross-correlation for inter-aural time delay estimation[C]// Proceedings of 2009 ICCAS-SICE. Piscataway:IEEE Press, 2009: 1777-1780.
[8]	YE D , LU J Y , ZHU X J ,et al. Generalized cross correlation time delay estimation based on improved wavelet threshold function[C]// Proceedings of 2016 Sixth International Conference on Instrumentation ＆ Measurement,Computer,Communication and Control. Piscataway:IEEE Press, 2016: 629-633.
[9]	ZHANG Q Q , ZHANG L H . An improved delay algorithm based on generalized cross correlation[C]// Proceedings of 2017 IEEE 3rd Information Technology and Mechatronics Engineering Conference. Piscataway:IEEE Press, 2017: 395-399.
[10]	ZHANG Y B , LI S Q , ZHU J J ,et al. A high-precision time delay estimation method based on fourth-order cumulant[C]// Proceedings of 2019 3rd International Conference on Circuits,System and Simulation. Piscataway:IEEE Press, 2019: 93-97.
[11]	HANUS R , ZYCH M , CHORZ?PA R ,et al. Investigations of the methods of time delay measurement of stochastic signals using cross-correlation with the Hilbert transform[C]// Proceedings of 2020 IEEE 20th Mediterranean Electrotechnical Conference (MELECON). Piscataway:IEEE Press, 2020: 238-242.
[12]	FEREIDOONY F , JISHI A L , HEDAYATI M ,et al. Magnitude - delay least mean squares equalization for accurate estimation of time of arrival[J]. IEEE Sensors Journal, 2021,21(16): 18075-18084.
[13]	JELFS B , SUN S , GHORBANI K ,et al. An adaptive all-pass filter for time-varying delay estimation[J]. IEEE Signal Processing Letters, 2021,28: 628-632.
[14]	PALLOTTA L , GIUNTA G . Accurate delay estimation for multisensor passive locating systems exploiting the cross-correlation between signals cross-correlations[J]. IEEE Transactions on Aerospace and Electronic Systems, 2022,58(3): 2568-2576.
[15]	杨建辉, 严天峰, 王逸轩 ,等. 插值方法在TDOA 估计中的研究与应用[J]. 兰州交通大学学报, 2017,36(4): 121-126.
	YANG J H , YAN T F , WANG Y X ,et al. Research and application of interpolation method in TDOA estimation[J]. Journal of Lanzhou Jiaotong University, 2017,36(4): 121-126.
[16]	李记龙, 王雪琰, 翟玉爽 ,等. 稳健性的水下高精度时延估计算法[J]. 导航定位学报, 2020,8(3): 58-64.
	LI J L , WANG X Y , ZHAI Y S ,et al. A high-precise time delay estimation algorithm with robustness for underwater acoustic channel[J]. Journal of Navigation and Positioning, 2020,8(3): 58-64.
[17]	GUSCHINA O , . Refining time delay estimate of complex signal using polynomial interpolation in time domain[C]// Proceedings of 2021 Systems of Signals Generating and Processing in the Field of on Board Communications. Piscataway:IEEE Press, 2021: 1-6.
[18]	TANG Q , SHAO G P , WANG B ,et al. A variable step-size mixed modulated Lagrange explicit time delay estimation algorithm[C]// Proceedings of 2021 7th International Conference on Computer and Communications. Piscataway:IEEE Press, 2022: 469-473.
[19]	黄乙 . 线性调频信号的时延估计方法研究[D]. 哈尔滨:哈尔滨工业大学, 2021.
	HUANG Y . Research on time delay estimation method of LFM signals[D]. Harbin:Harbin Institute of Technology, 2021.
[20]	TREVISO F , TRINCHERO R , CANAVERO F G . Machine learning applied to the blind identification of multiple delays in distributed systems[C]// Proceedings of 2020 XXXIIIrd General Assembly and Scientific Symposium of the International Union of Radio Science. Piscataway:IEEE Press, 2020: 1-4.
[21]	邹林 . 宽带数字阵列雷达关键技术研究[D]. 成都:电子科技大学, 2013.
	ZOU L . Research on key technologies of wideband digital array radar[D]. Chengdu:University of Electronic Science and Technology of China, 2013.
[22]	CHEN S H , PAN M H . Analytical model and real-time calculation of target echo signals on wideband LFM radar[J]. IEEE Sensors Journal, 2021,21(9): 10726-10734.
[23]	BHAN R S , DAYALAN S , BAZIL R A A . Digital implementation of radar receiver and signal processing algorithms[C]// Proceedings of 2021 International Conference on System,Computation,Automation and Networking. Piscataway:IEEE Press, 2021: 1-6.
[24]	GAO L , ZHANG J Q , SU J Y ,et al. Signal processing in DBF-TOPSAR[C]// Proceedings of 2021 2nd China International SAR Symposium. Piscataway:IEEE Press, 2021: 1-5.
[25]	ARIK D B . AESA architectures[M]. Piscataway: IEEE Press, 2022.
[26]	DENG Y , . Wideband digital fractional time delay waveform generation method based on polynomial fitting[C]// Proceedings of 5th International Conference on Mechanical,Control and Computer Engineering. Piscataway:IEEE Press, 2021: 2180-2185.
[27]	LU Q H , CUI G L , LIU R T ,et al. Wideband beampattern synthesis using single digital beamformer with integer time delay filters[J]. IEEE Transactions on Antennas and Propagation, 2022,70(5): 3437-3449.
[28]	GERASIMOV S , GLUSHNEV V , ZHELBAKOV I . Subsample time delay estimation by quadratic interpolation of correlation function of digitized ultrasonic probing signals[C]// Proceedings of 2021 International Conference on Industrial Engineering,Applications and Manufacturing. Piscataway:IEEE Press, 2021: 753-762.
[29]	PALLOTTA L , GIUNTA G , CLEMENTE C . Subpixel SAR image registration through parabolic interpolation of the 2-D cross correlation[J]. IEEE Transactions on Geoscience and Remote Sensing, 2020,58(6): 4132-4144.
[30]	KUMAR P A , . FPGA implementation of the trigonometric functions using the CORDIC algorithm[C]// Proceedings of 2019 5th International Conference on Advanced Computing ＆ Communication Systems. Piscataway:IEEE Press, 2019: 894-900.
[31]	李宝磊 . 被动声呐信号的时延估计[D]. 南京:东南大学, 2019.
	LI B L . Time delay estimation of passive sonar signals[D]. Nanjing:Southeast University, 2019.

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参数类型	参数值
相对带宽	20％
阵元数量/个	8
阵元间距/m	0.015
波长/m	0.027 3
脉冲宽度/μs	1
主瓣方向	30°
目标距离/m	1 000

方法	波束指向	归一化主瓣增益/dB	归一化峰值副瓣电平/dB	归一化平均副瓣电平/dB
无通道固定时延误差	30°	0	–24.847	–22.885
通道固定时延误差标准差为20 ps	30.6°	–1.060	–14.498	–16.448
通道固定时延误差补偿后	30°	0.047	–24.160	–22.369

名称	方向	位宽/bit	功能
clk_300M	input	1	时钟信号
r_en	input	1	使能信号
rst_n	input	1	全局复位
ad_vaild	output	1	输出数据有效信号
ad1i_d0～ad1i_d3	output	14	通道0的I路输出
ad0q_d0～ad0q_d3	output	14	通道0的Q路输出

通道号	MATLAB仿真的多通道时延误差/采样间隔	FPGA多通道固定时延误差/采样间隔	误差/采样间隔
0	0	0	0
1	–0.028 581 6	–0.028 686 5	0.000 104 9
2	–0.009 652 3	–0.009 765 6	0.000 113 3
3	–0.030 333 7	–0.030 395 5	0.000 061 8
4	0.015 641 8	0.015 564 0	0.000 077 8
5	0.010 443 1	0.010 376 0	0.000 067 2
6	–0.016 455 6	–0.016 540 5	0.000 084 8
7	–0.036 536 8	–0.036 743 2	0.000 206 4

Research on channel-fixed delay error estimation of wideband digital array radar

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