-
摘要:
针对频率分集阵列(FDA)接收机在抑制与目标位置接近的平台外干扰过程中,最小方差无失真响应(MVDR)波束形成器在阵元数较大、导向矢量失配情况下出现的主瓣畸变问题展开分析。在采用重叠正弦频率分集阵列接收结构代替一维均匀线性频率分集阵列(ULA-FDA)接收的基础上,通过可变加载约束的最速下降线性约束最小方差(SD-LCMV)准则求解导向矢量失配时的权矢量,实现对阵列方向图主瓣的有效纠偏和保形。仿真验证了采用正弦频控函数的重叠子阵FDA阵列具有最佳的主瓣宽度和低旁瓣特性。当存在2°的指向误差时,正弦频控函数的重叠子阵FDA阵列经导向矢量修正得到的阵列方向图在有效抑制干扰的同时能够实现主瓣的纠偏和保形。
-
关键词:
- 频率分集阵列(FDA) /
- 重叠子阵 /
- 最小方差无失真响应(MVDR)波束形成器 /
- 最速下降线性约束最小方差(SD-LCMV)波束形成器 /
- 干扰抑制
Abstract:In the process of suppressing the interference which is close to the target position, minimum variance distortionless response (MVDR) beamformer will have the mainlobe distortion problem with mismatched steering vector or larger number of elements. We use the overlapping subarray-based sin-FDA as the receiving array instead of the uniform linear array frequency diverse array (ULA-FDA). The weighted vector of the mismatched steering vector is solved by the steepest descent linear constrained minimum variance (SD-LCMV) algorithm, which can effectively correct and preserve the mainlobe of the beampattern. Simulation verifies that the overlapping subarray-based sin-FDA has the best mainlobe width and low sidelobe characteristics. When there is a pointing error of 2°, the steering vecter of the overlapping subarray-based sin-FDA can be corrected and the shape of the mainlobe can be corrected while effectively suppressing the interference.
-
-
[1] WANG W Q, SHAO H Z, CHEN H.Frequency diverse array radar:Concept, principle and application[J].Journal of Electronics & Information Technology, 2016, 38(4):1000-1011. http://d.old.wanfangdata.com.cn/Periodical/dzkxxk201604033 [2] WANG W Q. Overview of frequency diverse array in radar and navigation applications[J].IET Radar, Sonar & Navigation, 2016, 10(6):1001-1012. http://cn.bing.com/academic/profile?id=72f336a22aab248c0ac9f91f736feff6&encoded=0&v=paper_preview&mkt=zh-cn [3] 王文钦, 陈慧, 郑植, 等.频控阵雷达技术及其应用研究进展[J].雷达学报, 2018, 7(2):153-166. http://d.old.wanfangdata.com.cn/Periodical/ldxb201802001WANG W Q, CHEN H, ZHENG Z, et al.Advances on frequency diverse array radar and its applications[J].Journal of Radars, 2018, 7(2):153-166(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/ldxb201802001 [4] 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. http://d.old.wanfangdata.com.cn/Periodical/ldxb201802002XU J W, ZHU S Q, LIAO G S, et al.An overview of frequency diverse array radar technology[J].Journal of Radars, 2018, 7(2):167-182(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/ldxb201802002 [5] 陈小龙, 陈宝欣, 黄勇, 等.频控阵雷达空距频聚焦信号处理方法[J].雷达学报, 2018, 7(2):183-193. http://d.old.wanfangdata.com.cn/Periodical/ldxb201802003CHEN X L, CHEN B X, HUANG Y, et al.Frequency diverse array radar signal processing via space-range-Doppler focus (SRDF) method[J].Journal of Radars, 2018, 7(2):183-193(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/ldxb201802003 [6] 张昭建, 谢军伟, 盛川, 等.频率分集阵列接收机结构设计及方向图分析[J].华中科技大学学报, 2017, 45(6):15-20. http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201706004ZHANG Z J, XIE J W, SHENG C, et al, Frequency diverse array receiver architectures design and pattern analysis[J].Huazhong University of Science & Technology, 2017, 45(6):15-20(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201706004 [7] JONES A M.Frequency diverse array receiver architectures[D].Dayton, OH: Wright State University, 2011. [8] 冯晓宇, 谢军伟, 张晶, 等.频控阵波束特性及波形控制研究[J].空军工程大学学报(自然科学版), 2018, 19(3):42-48. doi: 10.3969/j.issn.1009-3516.2018.03.008FENG X Y, XIE J W, ZHANG J, et al.Research on waveform properties and beam control of frequency diverse array[J].Journal of Air Force Engineering University (Natural Science Edition), 2018, 19(3):42-48(in Chinese). doi: 10.3969/j.issn.1009-3516.2018.03.008 [9] 王博, 谢军伟, 张晶, 等.基于非线性频偏的频控阵波束控制研究[J].北京理工大学学报, 2019, 39(3):311-319. http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb201903014WANG B, XIE J W, ZHANG J, et al.Study of frequency diverse array beam control based on nonlinear frequency offset[J].Transactions of Beijing Institute of Technology, 2019, 39(3):311-319(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/bjlgdxxb201903014 [10] 张小飞.阵列信号处理及MALTAB实现[M].北京:电子工业出版社, 2015:50-51.ZHANG X F.Array signal processing and MATLAB realization[M].Beijing:Electronic Industry Press, 2015:50-51(in Chinese). [11] 王哲.频控阵波束的距离角度依赖特性研究[D].成都: 电子科技大学, 2018.WANG Z.Research on range-angle-dependent characteristics of frequency diversearray beampattern[D].Chengdu: University of Electronic Science and Technology of China, 2018(in Chinese). [12] 王博, 谢军伟, 张晶, 等.子阵结构FDA阵列模糊函数建模与研究[J].空军工程大学学报(自然科学版), 2019, 20(4):90-96.WANG B, XIE J W, ZHANG J, et al.Modeling and research of ambiguity function based on subarray-based FDA[J].Journal of Air Force Engineering University(Natural Science Edition), 2019, 20(4):90-96(in Chinese). [13] WANG W Q.Subarray-based frequency diverse array radar for target range-angle estimation[J].IEEE Transactions on Aerospace and Electronic Systems, 2014, 50(4):3057-3067. https://www.researchgate.net/publication/273169718_Subarray-Based_Frequency_Diverse_Array_Radar_for_Target_Range-Angle_Estimation [14] XU Y H, SHI X W, XU J W, et al.Range-angle-decoupled beampattern synthesis with subarray-based frequency diverse array[J].Digital Signal Processing, 2017, 64:49-59. https://www.sciencedirect.com/science/article/abs/pii/S1051200417300295 [15] WANG Z H, MU T, SONG Y L, et al.Beamforming of frequency diverse array radar with nonlinear frequency offset based on logistic map[J].Progress in Electromagnetics Reasearch, 2018, 64:55-63. [16] XU Y H, SHI X W, LI W T, et al.Flat-top beampattern synthesis in range and angle domains for frequency diverse array via second-order cone programming[J].IEEE Antennas and Wireless Propagation Letters, 2016, 15:1479-1482. [17] WANG Z, WANG W Q, SHAO H.Range-azimuth decouple beamforming for frequency diverse array with costas-sequence modulated frequency offsets[J].Eurasip Journal on Advances in Signal Processing, 2016, 2016(1):124. doi: 10.1186%2Fs13634-016-0422-3 [18] 项喆, 陈伯孝, 杨明磊.频率分集雷达最优频率间隔选择方法[J].西安电子科技大学学报, 2017, 44(4):12-17. http://www.cnki.com.cn/Article/CJFDTotal-XDKD201704003.htmXIANG Z, CHEN B X, YANG M L.Frequency increment optimization method for frequency diverse radar[J].Journal of Xidian University, 2017, 44(4):12-17(in Chinese). http://www.cnki.com.cn/Article/CJFDTotal-XDKD201704003.htm [19] KHAN W, QURESHI I M, BASITAND A, et al.Transmit/received beamforming for MIMO log-frequency diverse array radar[C]//Proceedings of the International Bhurban Conference on Applied Science & Technlogy.Piscataway, NJ: IEEE Press, 2016: 689-693. [20] 路成军, 盛卫星, 韩玉兵, 等.基于可变加载的稳健并行波束形成算法[J].南京理工大学学报, 2013, 37(3):371-377. http://www.cnki.com.cn/Article/CJFDTotal-NJLG201303007.htmLU C J, SHENG W X, HAN Y B, et al.Robust parallel beamforming algorithm based on variable loading[J].Journal of Nanjing University of Science and Technology, 2013, 37(3):371-377(in Chinese). http://www.cnki.com.cn/Article/CJFDTotal-NJLG201303007.htm [21] LI Y C, CHEN C, ZENG W H, et al.Robust adaptive beamforming algorithm based on steering vector estimation[J].Chinese Journal of Radio Science, 2015, 31(1):188-193.