基于区间算法的频控阵阵元位置误差分析

doi:10.12305/j.issn.1001-506X.2023.01.03

Abstract

Abstract:

Frequency diverse array (FDA) can generate range-angle dependent beampattern by introducing a small frequency offset to the transmit fundamental frequency of each array element, which enables more flexibility in information signal processing. However, most of the existing research on FDA assume that the array element position is ideal with no error. In practice, position error is unavoidable in manufacturing process, which will inevitably cause the actual performance deviation from the theoretical design performance indicators, while current literature seldom include the analysis of the position error of FDA. Therefore, it is urgent to find a method to analyze the position error of FDA. In this paper, a new method based on the interval analysis (IA) algorithm is proposed to analyze the influence of the position error of each element on the FDA beam performance. The method firstly assumes that the position error of each element is in a certain known interval, and then through a series of numerical calculations, the upper and lower bounds of the effect of the error on the beam performance can be obtained. Finally, the effectiveness of this method is verified by simulation experiments.

Key words: frequency diverse array (FDA), position errors, interval analysis (IA) algorithm, transmit beampattern

CLC Number:

TN957.2

Hu TANG, Guanghui ZENG, Yi LIAO, Wenqin WANG. Position error analysis of FDA elements via interval algorithm[J]. Systems Engineering and Electronics, 2023, 45(1): 15-24.

Figures/Tables 10

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References 39

1	BALANISC A.Antenna theory: analysis and design[J].IEEE Antennas & Propagation Society Newsletter,2003,24(6):28-29.
2	HANSEN R C. Phased array antennas[M]. Wiley, 1997.
3	SASAKAWAD,KONNOK,HONMAN,et al.Antenna array calibration for living-body radar[J].IEEE Antennas and Wireless Propagation Letters,2016,15(1):246-249.
4	杜永强.舰载雷达天线安装非理想引入的测向误差分析[J].现代雷达,2000,22(4):62-66. doi: 10.3969/j.issn.1004-7859.2000.04.013
	DUY Q.Analysis of direction finding error caused by imperfect installation of shipborne radar antenna[J].Modern Radar,2000,22(4):62-66. doi: 10.3969/j.issn.1004-7859.2000.04.013
5	陶军,唐晓雷,黄晓辉.阵面安装误差对相控阵雷达测角精度的影响[J].数据采集与处理,2017,32(6):1179-1186. doi: 10.16337/j.1004-9037.2017.06.013
	TAOJ,TANGX L,HUANGX H.Influence of array installation error on angle measurement accuracy of phased array radar[J].Journal of Data Acquisition & Processing,2017,32(6):1179-1186. doi: 10.16337/j.1004-9037.2017.06.013
6	孙国政.综合导航系统误差对舰载三坐标相控阵雷达精度的影响分析[J].现代雷达,2006,28(2):15-17. doi: 10.3969/j.issn.1004-7859.2006.02.005
	SUNG Z.Influence of integrated navigation system error on accuracy of shipbornethree-dimensional phased array radar[J].Modern Radar,2006,28(2):15-17. doi: 10.3969/j.issn.1004-7859.2006.02.005
7	张驿,王辉,温剑,等.摇摆状态一维相控阵天线波束指向修正[J].电讯技术,2011,51(6):94-97. doi: 10.3969/j.issn.1001-893x.2011.06.021
	ZHANGY,WANGH,WENJ,et al.Beam pointing correction of one-dimensionalphased array antenna in swing state[J].Telecommunication Engineering,2011,51(6):94-97. doi: 10.3969/j.issn.1001-893x.2011.06.021
8	MOORE R E. Interval analysis[M]. Upper Saddle River: Prentice-Hall, 1966.
9	ANSELMIN,MANICAL,ROCCAP,et al.Tolerance analysis of antenna arrays through interval arithmetic[J].IEEE Trans.on Antennas and Propagation,2013,61(11):5496-5507. doi: 10.1109/TAP.2013.2276927
10	POLIL,ROCCAP,ANSELMIN,et al.Dealing with uncertainties on phase weighting of linear antenna arrays by means of interval-based tolerance analysis[J].IEEE Trans.on Antennas & Propagation,2015,63(7):3229-3234.
11	ROCCAP,ANSELMIN,MASSAA.Interval arithmetic for pattern tolerance analysis of parabolic reectors[J].IEEE Trans.on Antennas & Propagation,2014,62(10):4952-4960.
12	ROCCAP,ANSELMIN,MASSAA.Optimal synthesis of robust beamformer weights exploiting interval analysis and convex optimization[J].IEEE Trans.on Antennas & Propagation,2014,62(7):3603-3612.
13	ANTONIK P, WICKS M C, GRIFFITHS H D, et al. Frequency diverse array radars[C]//Proc. of the IEEE Conference on Radar, 2006.
14	BASITA,KHANW,KHANS,et al.Development of frequency diverse array radar technology: a review[J].IET Radar, Sonar & Navigation,2018,12(2):165-175.
15	WANGW Q.Overview of frequency diverse array in radar and navigation applications[J].IET Radar Sonar & Navigation,2016,10(6):1001-1012.
16	许京伟,朱圣棋,廖桂生,等.频率分集阵雷达技术探讨[J].雷达学报,2018,7(2):167-182.
	XUJ W,ZHUS Q,LIAOG S,et al.Discussion on frequency diversity array radar technology[J].Journal of Radars,2018,7(2):167-182.
17	葛佳昂,谢军伟,张浩为,等.频率分集阵列雷达波束的相位方向图特性[J].北京理工大学学报,2020,40(3):99-105.
	GEJ A,XIEJ W,ZHANGH W,et al.Phase pattern characteristics of frequency diversity array radar beam[J].Transaction of Beijing Institute of Technology,2020,40(3):99-105.
18	WICKS M C, ANTONIK P. Method and apparatus for a frequency diverse array[P]. US: 7511665, 2009-3-31.
19	WANGY,WANGW Q.Linear frequency diverse array manifold geometry and ambiguity analysis[J].IEEE Sensors Journal,2015,15(2):984-993. doi: 10.1109/JSEN.2014.2359074
20	ZHU C, WANG W Q, HUI C, et al. Target direction of arrival estimation using nestedfrequency diverse array[C]//Proc. of the International Conference on Estimation, 2015.
21	LIAOT,PANY,WANGW Q.Generalized linear frequency diverse array manifoldcurve analysis[J].IEEE Signal Processing Letters,2018,25(6):768-772. doi: 10.1109/LSP.2018.2825288
22	DINGZ H,XIEJ W.Joint transmit and receive beamforming for cognitive FDA-MIMO radar with moving target[J].IEEE Sensors Journal,2021,21(18):20878-20885. doi: 10.1109/JSEN.2021.3100332
23	LIU G, HUANG H, WANG W Q. Frequency diverse array radar in counteractingmainlobe jamming signals[C]//Proc. of the IEEE Radar Conference, 2017.
24	WANGY Z,ZHUS Q.Range ambiguousclutter suppression for FDA-MIMO forward looking airborne radar based on main lobe correction[J].IEEE Trans.on Vehicular Technology,2021,70(3):2032-2046. doi: 10.1109/TVT.2021.3057436
25	LANL,XUJ W,LIAOG S,et al.Suppression of mainbeam deceptive jammer with FDA-MIMO radar[J].IEEE Trans.on Vehicular Technology,2020,69(10):11584-11589. doi: 10.1109/TVT.2020.3014689
26	王成浩,廖桂生,许京伟.FDA-SAR高分辨宽测绘带成像距离解模糊方法[J].电子学报,2017,45(9):2085-2091. doi: 10.3969/j.issn.0372-2112.2017.09.005
	WANGC H,LIAOG S,XUJ W.FDA-SAR high resolution wide swath imaging range deblurring method[J].Acta Electronica Sinica,2017,45(9):2085-2091. doi: 10.3969/j.issn.0372-2112.2017.09.005
27	LIU X R, MAO W, WU L. Two-dimensional imaging with stationary nonuniform frequency diverse array transmitter[C]// Proc. of the IGARSS IEEE International Geoscience and Remote Sensing Symposium, 2019.
28	LINC C,HUANGP M,WANGW W,et al.Unambiguous signal reconstruction approach for SAR imaging using frequency diverse array[J].IEEE Geoence and Remote Sensing Letters,2017,14(9):1628-1632. doi: 10.1109/LGRS.2017.2727512
29	LIJ J,LIAOK F,OUYANGS.3-D imaging using synthetic aperture radar with afrequency diverse array[J].IEEE Geoscience and Remote Sensing Letters,2021,18(5):846-850. doi: 10.1109/LGRS.2020.2989342
30	CHENGQ,FUSCOV,ZHUJ,et al.WFRFT-aided power-efficient multi-beam directional modulation schemes based on frequency diverse array[J].IEEE Trans.on Wireless Communications,2019,18(11):5211-5226. doi: 10.1109/TWC.2019.2934462
31	NUSENU S Y, WANG W Q, JI S. Secure directional modulation using frequency diverse array antenna[C]//Proc. of the IEEE Radar Conference, 2017.
32	BASITA,WANGW Q,NUSENUS Y,et al.FDA based QSM for mm wave wireless communications: frequency diverse transmitter and reduced complexity receiver[J].IEEE Trans.on Wireless Communications,2021,20(7):4571-4584. doi: 10.1109/TWC.2021.3060512
33	SECMEN M, DEMIR S, HIZAL A, et al. Frequency diverse array antenna with periodic time modulated pattern in range and angle[C]//Proc. of the IEEE Radar Conference, 2007, 20(7): 4571-4584.
34	ANTONIK P, WICKS M C, GRIFFITHSH D, et al. Range-dependent beamformingusing element level waveform diversity[C]// Proc. of the International Waveform Diversity & Design Conference, 2018.
35	KHANW,QURESHII M,SAEEDS.Frequency diverse array radar with logarithmically increasing frequency offset[J].IEEE Antennas and Wireless Propagation Letters,2015,14,499-502. doi: 10.1109/LAWP.2014.2368977
36	LIAOY,TANGH,CHENX L,et al.Frequency diverse array beampattern synthesis with taylor windowed frequency offsets[J].IEEE Antennas and Wireless Propagation Letters,2020,19(11):1901-1905. doi: 10.1109/LAWP.2020.3024710
37	XIONGJ,WANGW Q,SHAOH Z,et al.Frequency diverse array transmit beam pattern optimization with genetic algorithm[J].IEEE Antennas and Wireless Propagation Letters,2017,16,469-472.
38	LIAOY,WANGJ,LIUQ H.Transmit beam pattern synthesis for frequency diverse array with particle swarm frequency offset optimization[J].IEEE Trans.on Antennas and Propagation,2021,69(2):892-901. doi: 10.1109/TAP.2020.3027576
39	HUANG G, Y DING, OUYANG S. Revisit time-variant beam patterns for frequency diverse arrays[C]//Proc. of the IEEE MTTS International Wireless Symposium, 2020.

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[3]	Yibin LIU, Chunyang WANG, Jian GONG, Ming TAN. Low-complexity and robust beamforming algorithm based on frequency diverse array MIMO radar [J]. Systems Engineering and Electronics, 2022, 44(11): 3388-3396.
[4]	Yingjian ZHAO, Bo TIAN, Chunyang WANG, Jian GONG, Ming TAN. Improved ESB beamforming algorithm based on frequency diverse array [J]. Systems Engineering and Electronics, 2021, 43(11): 3151-3159.
[5]	Bo WANG, Junwei XIE, Jing ZHANG, Ziren WANG. Dot-shaped beamforming and interference suppression analysis based on the PFDA [J]. Systems Engineering and Electronics, 2020, 42(2): 253-262.
[6]	CHEN Guangdong, HUANG Yuze, WANG Yuan. Intra-group short-range location of aircraft based on polarization steering factor [J]. Systems Engineering and Electronics, 2019, 41(5): 958-963.
[7]	XU Jingwei, LAN Lan, ZHU Shengqi, LIAO Guisheng, ZHANG Yuhong. Design of matched filter for coherent FDA radar [J]. Systems Engineering and Electronics, 2018, 40(8): 1720-1728.
[8]	XU Yizheng, LIAO Guisheng, XU Jingwei, WANG Chenghao. Range ambiguous clutter suppression based on forward looking FDA-MIMO radar [J]. Systems Engineering and Electronics, 2018, 40(12): 2662-2667.
[9]	CHEN Guangdong, HUANG Yuze, HUANG Haixing. Polarization domain DOA estimation and automatic calibration of array element attitude and position errors [J]. Systems Engineering and Electronics, 2017, 39(10): 2184-2189.
[10]	FANG Jiaqi, FENG Dazheng, LI Jin. Robust source location algorithm using TDOA in the presence of#br# sensor position errors [J]. Systems Engineering and Electronics, 2015, 37(5): 998-1003.
[11]	YANG Tao， SU Tao， ZHANG Wang， ZHU Wen-tao. Fast frequency invariant transmit beampattern synthesis for wideband MIMO radar [J]. Journal of Systems Engineering and Electronics, 2013, 35(3): 499-503.
[12]	XIA Wei-xing， YANG Xiao-dong. High accuracy estimation algorithm for IMU error of under water INS [J]. Systems Engineering and Electronics, 2013, 35(10): 2176-2185.
[13]	WANG Ding, WU Ying. Cumulantsbased instrumental sensors method for selfcalibration of sensor position errors [J]. Journal of Systems Engineering and Electronics, 2010, 32(7): 1357-1364.

Position error analysis of FDA elements via interval algorithm

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