A Grating Lobe Suppression Method of Wideband Real Time Delay Pattern Based on Particle Swarm Optimization Algorithm
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No. One Department, Air Force Early Warning Academy,Wuhan 430019, China
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摘要: 針對陣元間距大于信號波長引起陣列方向圖出現(xiàn)柵瓣的問題，該文提出一種基于粒子群優(yōu)化(PSO)算法的寬帶真延時方向圖柵瓣抑制方法。該方法首先定義了基于寬帶真延時的陣列能量方向圖，其次構(gòu)造了以陣列能量方向圖的最高副瓣電平作為適應(yīng)度函數(shù)，最后利用粒子群優(yōu)化算法優(yōu)化陣元分布來實現(xiàn)對陣列方向圖柵瓣的進一步抑制。仿真結(jié)果表明：相比于單獨使用粒子群算法和單獨使用寬帶真延時方法，該方法對方向圖柵瓣的抑制性能更加有效，在此基礎(chǔ)上，該文還研究了陣元個數(shù)、平均陣元間距、信號時寬和信號中心頻率等因素對方法抑制柵瓣性能的影響。
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關(guān)鍵詞:
- 粒子群優(yōu)化算法 /
- 寬帶真延時 /
- 能量方向圖 /
- 柵瓣抑制 /
- 適應(yīng)度函數(shù)
Abstract: A grating lobe suppression method of wideband real time delay pattern based on Particle Swarm Optimization(PSO) algorithm is proposed to solve the problem of grating lobe arise from inter-element is larger than wavelength. Firstly, the array energy pattern based on wideband real time delay is defined. Then, a fitness function is constructed with maximum sidelobe level of the array energy pattern. Finally, the grating lobe is further suppressed by optimizing the elements position distribution using Particle Swarm Optimization (PSO) algorithm. The simulation results show that the proposed grating lobes suppression method is more effective than individually using the particle swarm optimization method or the wideband real time delay method. Furthermore, the influence of the element space, the element number, the time width and the center frequency of signal on the performance of grating lobe suppression are studied. -
表 1 基于粒子群優(yōu)化算法的寬帶陣列方向圖柵瓣抑制方法每次循環(huán)后更新粒子流程
(1) 如果${\rm{MSL}}{{\rm{L}}_{i,q - 1}} > {\rm{MSLL}}_i^q$, ${\rm{MSL}}{{\rm{L}}_{i,q}} \leftarrow {\rm{MSLL}}_i^q$, ${\textq7j3ldu95}{{\textq7j3ldu95}_{i,q}} \leftarrow {\text{dd}}_i^q$；否則${\rm{MSL}}{{\rm{L}}_{i,q}} \leftarrow {\rm{MSL}}{{\rm{L}}_{i,q - 1}}$, ${\textq7j3ldu95}{{\textq7j3ldu95}_{i,q}} \leftarrow {\textq7j3ldu95}{{\textq7j3ldu95}_{i,q - 1}}$； (2) 如果${\rm{MSL}}{{\rm{L}}_{q - 1}}{\rm{ > MSL}}{{\rm{L}}_{i,q}}$, ${\rm{MSL}}{{\rm{L}}_q} \leftarrow {\rm{MSL}}{{\rm{L}}_{i,q}}$, ${{\text{g}}_q} \leftarrow {\text{dd}}_i^q$；否則${\rm{MSL}}{{\rm{L}}_q} \leftarrow {\rm{MSL}}{{\rm{L}}_{q - 1}}$, ${{\text{g}}_q} \leftarrow {{\text{g}}_{q - 1}}$。 注：表中，${\rm{MSLL}}_i^q$為第i個粒子第q次循環(huán)的適應(yīng)度函數(shù)值，${\rm{MSL}}{{\rm{L}}_{i,q}}$為第i個粒子第q次循環(huán)后的最佳適應(yīng)度函數(shù)值，${\rm{MSL}}{{\rm{L}}_q}$為整個粒子群第q次循環(huán)后的最佳適應(yīng)度函數(shù)值。 
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王永良, 陳輝, 彭應(yīng)寧, 等. 空間譜估計理論與算法[M]. 北京: 清華大學(xué)出版社, 2004. 22–25.WANG Yongliang, CHEN Hui, PENG Yingning, et al. Spatial Spectrum Estimation Theory and Algorithm[M]. Beijing: Tsinghua University Press, 2009. 22–25. 丁志丹, 楊飛, 蔡海文, 等. 基于微光學(xué)陣列差分真時延網(wǎng)絡(luò)的光學(xué)多波束合成系統(tǒng)[J]. 中國激光, 2017, 44(4): 0406004.DING Zhidan, YANG Fei, CAI Haiwen, et al. Optical multi-beam synthetic system based on micro-optical array differential true time delay network[J]. Chinese Journal of Lasers, 2017, 44(4): 0406004. 曹愛華, 李海林, 馬守磊, 等. 基于MOPSO與凸優(yōu)化算法的稀布圓陣列方向圖優(yōu)化[J]. 數(shù)據(jù)采集與處理, 2017, 32(5): 980–987. doi: 10.16337/j.1004-9037.2017.05.015CAO Aihua, LI Hailin, MA Shoulei, et al. Sparse circular array pattern optimization based on MOPSO and convex optimization[J]. Journal of Data Acquisition and Processing, 2017, 32(5): 980–987. doi: 10.16337/j.1004-9037.2017.05.015 馮晶晶, 陳祝明, 江朝抒. 非均勻分布式星載雷達柵瓣抑制技術(shù)研究[J]. 現(xiàn)代雷達, 2010, 32(4): 50–53. doi: 10.3969/j.issn.1004-7859.2010.04.013FENG Jingjing, CHEN Zhuming, and JIANG Chaoshu. Grating lobes suppression for non-uniform distributed space-based radar[J]. Modern Radar, 2010, 32(4): 50–53. doi: 10.3969/j.issn.1004-7859.2010.04.013 GOFFER A P, KAM M, and HERCZFELD P R. Design of phased arrays in terms of random subarrays[J]. IEEE Transactions on Antennas and Propagation, 1994, 42(6): 820–826. doi: 10.1109/8.301701 XIONG Ziyuan, XU Zhenhai, and XIAO Shunping. Beamforming properties and design of the phased arrays in terms of irregular subarrays[J]. IET Microwaves, Antennas & Propagation, 2015, 9(4): 369–379. TOYAMA N. Aperiodic array consisting of subarrays for use in small mobile earth stations[J]. IEEE Transactions on Antennas and Propagation, 2005, 53(6): 2004–2010. doi: 10.1109/TAP.2005.848486 ALSHAMMARY A, WEISS S, and ALMORQI S. Grating lobe suppression in rotationally tiled arrays[C]. Proceedings of the 11th European Conference on Antennas and Propagation, Paris, France, 2017: 1158–1161. WANG Hao, FANG Dagang, and CHOW Y L. Grating lobe reduction in a phased array of limited scanning[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(6): 1581–1586. doi: 10.1109/TAP.2008.923354 KRIVOSHEEV Y V, SHISHLOV A V, and DENISENKO V V. Grating lobe suppression in aperiodic phased array antennas composed of periodic subarrays with large Element spacing[J]. IEEE Antennas and Propagation Magazine, 2015, 57(1): 76–85. doi: 10.1109/MAP.2015.2397155 王建, 盛衛(wèi)星, 韓玉兵, 等. 基于壓縮感知的自適應(yīng)數(shù)字波束形成算法[J]. 電子與信息學(xué)報, 2013, 35(2): 438–444. doi: 10.3724/SP.J.1146.2012.00517WANG Jian, SHENG Weixing, HAN Yubing, et al. Adaptive digital beamforming algorithm based on compressed sensing[J]. Journal of Electronics &Information Technology, 2013, 35(2): 438–444. doi: 10.3724/SP.J.1146.2012.00517 王建, 盛衛(wèi)星, 韓玉兵, 等. 基于壓縮感知的圓陣自適應(yīng)數(shù)字波束形成算法[J]. 電波科學(xué)學(xué)報, 2014, 29(3): 455–461. doi: 10.13443/j.cjors.2013060802WANG Jian, SHENG Weixing, HAN Yubing, et al. Compressed sensing based adaptive digital beamforming algorithm in circle arrays[J]. Chinese Journal of Radio Science, 2014, 29(3): 455–461. doi: 10.13443/j.cjors.2013060802 HU Mengzhong, JIN Xueming, and HU Yuankui. A method for suppressing grating lobes of wideband reconnaissance DBF[C]. Proceedings of 2016 IEEE Advanced Information Management, Communicates, Electronic and Automation Control Conference, Xi’an, China, 2016: 1547–1550. RIES S and KAISER T. Ultra wideband impulse beamforming: It is a different world[J]. Signal Processing, 2006, 86(9): 2198–2207. doi: 10.1016/j.sigpro.2005.07.041 KAISER T, ZHENG Feng, and DIMITROV E. An overview of ultra-wide-band systems with MIMO[J]. Proceedings of the IEEE, 2009, 97(2): 285–312. doi: 10.1109/JPROC.2008.2008784 SIPAL V, EDWARDS D, and ALLEN B. Bandwidth requirement for suppression of grating lobes in ultrawideband antenna arrays[C]. Proceedings of 2012 IEEE International Conference on Ultra-Wideband, Syracuse, USA, 2012: 236–240. YE Xingwei, ZHANG Yamei, and PAN Shilong. Performance evaluation of RF beamforming based on a wideband antenna array and photonic true time delay[C]. Proceedings of the 14th International Conference on Optical Communications and Networks, Nanjing, China, 2015. YE Xingwei, ZHANG Bowen, ZHANG Yamei, et al. Performance evaluation of optical beamforming-based wideband antenna array[J]. Chinese Optics Letters, 2017, 15(1): 010013. doi: 10.3788/COL LI Ruoming, LI Wangzhe, DING Manlai, et al. Demonstration of a microwave photonic synthetic aperture radar based on photonic-assisted signal generation and stretch processing[J]. Optics Express, 2017, 25(13): 14334–14340. doi: 10.1364/OE.25.014334 ZHANG Fangzheng, GUO Qingshui, WANG Ziqian, et al. Photonics-based broadband radar for high-resolution and real-time inverse synthetic aperture imaging[J]. Optics Express, 2017, 25(14): 16274–16281. doi: 10.1364/OE.25.016274 WANG Anle, WO Jianghai, LUO Xiong, et al. Ka-band microwave photonic ultra-wideband imaging radar for capturing quantitative target information[J]. Optics Express, 2018, 26(16): 20708–20717. doi: 10.1364/OE.26.020708 -
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