-
摘要:
相控阵天线的快速测量和校准一直是相控阵天线研究的热门问题。传统校准方法的测量速度较慢,不能满足大量工程需求的测量校准要求。针对实际工程应用需求,在对幅相求解算法研究的基础上,提出了一种基于幅度测量的快速校准方法--四相幅度校准法(FPC)。经理论分析,该方法的校准时间仅相当于采用6位数字移相器的旋转矢量法所花费校准时间的1/16。对四相幅度校准法、采用4位数字移相器的旋转矢量法和采用6位数字移相器的旋转矢量法的校准速度和校准精度做了对比试验,试验结果验证了四相幅度校准法的正确性和高效性。
Abstract:The study of rapid measurement and calibration for phased array antenna has always been one of hot issues. The low efficiency of traditional calibration method cannot satisfy the requirement of large-scale engineering application of phased array antenna. A fast calibration method called four-phase-cycle amplitude-only measurement (FPC), which can determine the phase of each element in phased arrays by power measurements according to a certain phase distribution, is presented on the basis of theoretical analysis for phase solving algorithm. And theoretical analysis prove that the method takes only about one sixteenth of the time that the conventional rotating element electric field vector method using 6-bit digital phase shifter spends. Finally, a contrast test of three calibration methods, which are FPC, rotating element electric field vector method using 4 bit digital phase shifter and rotating element electric field vector method using 6 bit digital phase shifter, is carried out. And the experimental results verify the correctness and effectiveness of the FPC calibration algorithm.
-
Key words:
- calibration /
- calibration algorithm /
- measurement /
- antenna measurement /
- phased array antenna
-
表 1 第1轮相位分布下的和信号功率测量
Table 1. Power measurement under the first round phase distribution
相位分布/rad P∑/dBm 通道1 通道2 通道3 通道4 通道5 0
0
0
0π
0
0
00
π
0
00
0
π
00
0
0
πP2
P3
P4
P5表 2 第2轮相位分布下的和信号功率测量
Table 2. Power measurement under the second round phase distribution
相位分布/rad P∑/dBm 通道1 通道2 通道3 通道4 通道5 0
0
0
00
π
π
ππ
0
π
ππ
π
0
ππ
π
π
0P′2
P′3
P′4
P′5表 3 第3轮相位分布下的和信号功率测量
Table 3. Power measurement under the third round phase distribution
相位分布/rad P∑/dBm 通道1 通道2 通道3 通道4 通道5 0 π/2 3π/2 3π/2 3π/2 P2 0 3π/2 π/2 3π/2 3π/2 P3 0 3π/2 3π/2 π/2 3π/2 P4 0 3π/2 3π/2 3π/2 π/2 P5 表 4 第4轮相位分布下的和信号功率测量
Table 4. Power measurement under the fourth round phase distribution
相位分布/rad P∑/dBm 通道1 通道2 通道3 通道4 通道5 0 3π/2 π/2 π/2 π/2 P′2 0 π/2 3π/2 π/2 π/2 P′3 0 π/2 π/2 3π/2 π/2 P′4 0 π/2 π/2 π/2 3π/2 P′5 表 5 4种校准方法校准结果
Table 5. Calibration results with four calibration methods
单元编号 相位/(°) 直接校相法 REV-4 bit法 REV-6 bit法 FPC法 1 0 0 0 0 2 268 261.58 261.09 267.81 3 115 110.45 112.44 114.81 4 7 353.70 354.70 0.49 5 236 230.87 229.33 233.19 6 29 20.37 22.48 23.99 7 265 256.48 256.08 260.84 8 341 342.64 343.13 345.98 9 160 159.33 162.70 165.06 10 34 28.48 30.11 29.91 -
[1] TORU T, YOSHIHIKO K, SHIGERU M.Fast measurement technique for phased array calibration[J].IEEE Transactions on Antennas and Propagation, 2008, 56(7):1888-1899. doi: 10.1109/TAP.2008.924682 [2] LIU M G, FENG Z H.Combined rotating-element electric-field vector (CREV) method for nearfield calibration of phased array antenna[C]//International Conference on Microwave and Millimeter Wave Technology.Piscataway, NJ:IEEE Press, 2007:1-4. [3] YAHYA R S, ARTHUR C D.Technology trends and challenges of antennas for satellite communication system[J].IEEE Transactions on Antennas and Propagation, 2015, 63(4):1191-1203. doi: 10.1109/TAP.2014.2366784 [4] GU Q, DAI C G, ZHANG C F.Analysis of amplitude-phase error of phased array calibration in mid-field[C]//3rd Asia-Pacific Conference on Antennas and Propagation, APCAP 2014.Piscataway, NJ:IEEE Press, 2014:280-283. [5] LONG R, OUYANG J, YANG F, et al.Calibration method of phased array based on near-field measurement system[C]//2014 IEEE Antennas and Propagation Society International Symposium.Piscataway, NJ:IEEE Press, 2014:1161-1162. [6] JI B, YANG Y.Online gain and phase calibration for phased array radar[J].Telecommunication Engineering, 2014, 54(5):621-625. http://en.cnki.com.cn/Article_en/CJFDTOTAL-DATE201405019.htm [7] TAKAHASHI T, KONISHI Y, CHIBA I.A novel amplitude-only measurement method to determine element fields in phased arrays[J].IEEE Transactions on Antennas and Propagation, 2012, 60(7):3222-3230. doi: 10.1109/TAP.2012.2196961 [8] 刘明罡, 冯正和.分组旋转矢量法校正大规模相控阵天线[J].电波科学学报, 2007, 22(3):380-384. http://www.cnki.com.cn/Article/CJFDTOTAL-DBKX200703005.htmLIU M G, FENG Z H.Combined rotating-element electric-field vector method for calibration of large-scale phased array antenna[J].Chinese Journal of Radio Science, 2007, 22(3):380-384(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-DBKX200703005.htm [9] FAN X J, LI C W, CHEN Z H.The application of REV method for missile-borne phased array antenna calibration[C]//2012 International Conference on Microwave and Millimeter Wave Technology.Piscataway, NJ:IEEE Press, 2012:241-242. [10] 高铁, 王金元.大型有源相控阵校准的MCM法及其误差分析[J].微波学报, 2002, 18(1):6-10. http://www.cnki.com.cn/Article/CJFDTOTAL-WBXB200201001.htmGAO T, WANG J Y.MCM of large active phased array calibration and tolerance analysis[J].Journal of Microwaves, 2002, 18(1):6-10(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-WBXB200201001.htm [11] BAO J, HUANG Q, WANG X, et al.An improved method for mutual coupling calibration with application in wide-angle direction-of-arrival estimations[J].Electromagnetics, 2015, 35(2):101-111. doi: 10.1080/02726343.2014.987638 [12] HUANG Q, ZHOU H, BAO J, et al.Accurate calibration of mutual coupling for conformal antenna arrays[J].Electronics Letters, 2013, 49(23):1418-1420. doi: 10.1049/el.2013.2258 [13] 尚军平, 傅德民, 徐平.基于控制电路编码算法的相控阵天线快速测量[J].电波科学学报, 2010, 25(1):73-76. http://www.cnki.com.cn/Article/CJFDTOTAL-DBKX201001015.htmSHANG J P, FU D M, XU P.Fast measurement of the phased array antennas based on control circuit encoding algorithm[J].Chinese Journal of Radio Science, 2010, 25(1):73-76(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-DBKX201001015.htm [14] HE C, LIANG X L, GENG J P.Parallel calibration method for phased array with harmonic characteristic analysis[J].IEEE Transactions on Antennas and Propagation, 2015, 62(10):5029-5036. https://www.researchgate.net/profile/Chong_He4/publication/266378362_Parallel_Calibration_Method_for_Phased_Array_With_Harmonic_Characteristic_Analysis/links/55b333df08ae092e9650ad2d.pdf?origin=publication_detail [15] LIU K, LI Y Q, WANG H.Calibration method to characterize the accuracy of phase-shifting point diffraction interferometer[J].Review of Scientific Instruments, 2011, 82(3):33105-33110. doi: 10.1063/1.3560072