A Precise Calibration Method on Phase Center of Uplink Antenna Array Considering Its Actual Pointing

doi:10.11947/j.JGGS.2020.0110

Abstract

Abstract:

With regard to the inferior techniques and low accuracy of phase center calibration of an antenna array, this paper proposes a new calibration method considering the actual antenna pointing by introducing a precise engineering surveying technique to measure the real state of antennas. First, an industrial photogrammetric system is utilized to obtain the coordinates of points on antenna panels in different postures, and the actual pointing of the mechanical axis is obtained via least-squares fitting. Then, based on this, the coordinates of antenna rotation center are obtained by seeking the intersection of mechanical axes via using the matrix method. Finally, the mechanical axis in arbitrary postures is estimated based on the inverse-angle weighting interpolation method, and the reliable phase center is obtained by moving a fixed length from the projective center along the mechanical axis. An uplink antenna array including three ?3m antennas is taken as experimental object, and all photogrammetric coordinate systems are unified by the engineering control network, with each antenna phase center precisely calibrated via the proposed method. The results of electrical signal synthesis indicate that this method can effectively overcome the influence of gravity deformation and mechanical installation error, and enhance the synthetic signal magnitude of the uplink antenna array.

Key words: uplink array; phase center; rotation center; actual antenna pointing; three-dimension control network; precise calibration

Zongchun LI,Zhiyong LU,Guanyu ZHANG,Bo LIU,Qiqiang FENG,Yinggang GUO,Hua HE. A Precise Calibration Method on Phase Center of Uplink Antenna Array Considering Its Actual Pointing[J]. Journal of Geodesy and Geoinformation Science, 2020, 3(1): 93-101.

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References 26

[1]	LI Haitao, LI Yuhua, KUANG Naixue . Antenna array forming technology in deep space exploration[J]. Journal of Spacecraft TT&C Technology, 2004,23(4):57-60.
[2]	LU Manhong, ZHOU Sanwen, CHEN Ming , et al. Research on deep space TT&C and communication[J]. Journal of Telemetry, Tracking and Command, 2007,28(S1):11-16.
[3]	YAO Fei, KUANG Linling, ZHAN Yafeng , et al. Key techniques and development trend of antenna arraying for deep space communication[J]. Journal of Astronautics, 2010,31(10):2231-2238.DOI: 10.3873/j.issn.1000-1328.2010.10.001.
[4]	ZHONG Xiaoling, ZHOU Sanwen, LI Haitao , et al. Research on the antenna arraying signal combining technique[J]. Journal of Telemetry, Tracking and Command, 2007,28(S1):43-48.
[5]	ZHOU Sanwen, LU Manhong, HUANG Jianguo . Analysis on combining efficiency of full-spectrum combining[J]. Journal of Telemetry, Tracking and Command, 2009,30(2):46-52.DOI: 10.3969/j.issn.2095-1000.2009.02.009.
[6]	HE Guolong, LI Guomin . A parallel carrier phase calibration method for uplink antenna arrays[J]. Journal of Spacecraft TT#38;C Technology, 2012,31(1):19-22.
[7]	MA Xiaping, SHEN Yunzhong, WANG Jiexian , et al. Direct solution of SLR and VLBI antenna rotation center[J]. Acta Geodaetica et Cartographica Sinica, 2014,43(3):257-262.DOI: 10.13485/j.cnki.11-2089.2014.0037.
[8]	KE Bingqing, DING Keqian . Calculation and measurement of antenna phase center[J]. Journal of Telemetry, Tracking and Command, 2009,30(6):66-69. DOI: 10.3969/j.issn.2095-1000.2009.06.014.
[9]	ZHOU Mingduan, GUO Jiming, ZHENG Yongbo , et al. A study of the impact of satellite antenna phase center offsets on GPS precise point positioning accuracy[J]. Bulletin of Surveying and Mapping, 2008(10):8-9, 13.
[10]	HU Zhigang, ZHAO Qile, GUO Jing , et al. Research on impact of GPS phase center variation on precise orbit determination of low earth orbit satellite[J]. Acta Geodaetica et Cartographica Sinica, 2011,40(S1):34-38.
[11]	GUO Jiming, SHI Junbo, WANG Wei . Impact of antenna phase center offset and variation for high precision GPS data processing[J]. Geomatics and Information Science of Wuhan University, 2007,32(12):1143-1146.
[12]	SHEN Yunzhong, CHEN Tingwu . Determination of space coordinate differences of co-location sites in Shanghai Observatory[J]. Journal of Tongji University (Natural Science), 2006,34(2):217-220. DOI: 10.3321/j.issn:0253-374X.2006.02.015.
[13]	LI Jinling, QIAO Shubo, LIU Li , et al. Site survey at Sheshan 25m radio telescope in 2008[J]. Geomatics and Information Science of Wuhan University, 2010,35(12):1387-1391.
[14]	SUN Zhongmiao, FAN Haopeng . Research progress of VLBI Global Observing System (VGOS)[J]. Acta Geodaetica et Cartographica Sinica, 2017,46(10):1346-1353.DOI: 10.11947/j.AGCS.2017.20170326.
[15]	LI Jinling, ZHANG Jinwei, GUO Li . Discussion on monitoring method of reference point and axis offset of VLBI antenna[J]. Science of Surveying and Mapping, 2014,39(11):10-14.
[16]	HYUK G K, JIN S H, HONG S Y , et al. A comparative analysis of 3D circle fitting algorithms for determination of VLBI antenna reference point[J]. Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, 2015,33(4):231-244. DOI: 10.7848/ksgpc.2015.33.4.231.
[17]	MA Xiaping . One step solution to the local tie vectors of GNSS/SLR in ITRF[J]. Acta Geodaetica et Cartographica Sinica, 2018,47(1):64-70. DOI: 10.11947/j.AGCS.2018.20170066.
[18]	SHANG Junping, FU Demin, DENG Yingbo . Research on the accurate measurement method for the antenna phase center[J]. Journal of Xidian University (natural science), 2008,35(4):673-677. DOI: 10.3969/j.issn.1001-2400.2008.04.018.
[19]	CHEN Xi, FU Guang, GONG Shuxi , et al. Study of calibration of the phase center of array antennas and its error analysis[J]. Journal of Xidian University, 2011,38(3):145-149.DOI: 10.3969/j.issn.1001-2400.2011.03.023.
[20]	LI Ying, WANG Zhixiong, TAN Wei . Research on measure and calibration of antenna phase center[J]. Journal of Microwaves, 2012(S3):135-138.
[21]	LI Guangyun, FAN Baixing . The development of precise engineering surveying technology[J]. Acta Geodaetica et Cartographica Sinica, 2017,46(10):1742-1751.DOI: 10.11947/j.AGCS.2017.20170313.
[22]	LI Zongchun, LI Guangyun. Measuring theory, technique and application of antenna[M]. Beijing: Surveying and Mapping Press, 2009.
[23]	HAN Lejia, BANCROFT J C . Nearest approaches to multiple lines in n-dimensional space[R]. Calgary: University of Calgary, 2010.
[24]	FAN Zide, LI Jialin, DENG Min . An adaptive inverse-distance weighting spatial interpolation method with the consideration of multiple factors[J]. Geomatics and Information Science of Wuhan University, 2016,41(6):842-847.
[25]	CHEN Junyong . Chinese modern geodetic datum-Chinese Geodetic Coordinate System 2000(CGCS 2000) and its frame[J]. Acta Geodaetica et Cartographica Sinica, 2008,37(3):269-271.DOI: 10.3321/j.issn:1001-1595.2008.03.001.
[26]	ROGSTAD DH, MILEANT A, PHAM T T . Antenna arraying techniques in the deep space network[M]. Hoboken, New Jersey: John Wiley & Sons, Inc., 2003.

Precision index	X	Y	Z	Positional precision
Maximum deviation	0.98	1.46	0.56	2.12
Minimum deviation	-1.06	-1.73	-0.83	-1.81
Deviation range	2.04	3.19	1.39	3.94
RMS	0.32	0.67	0.29	0.79

Antenna	X	Y	Z	RMS
T1	-13667.50	-11217.88	973.17	2.42
T2	-12747.29	-1918.03	997.41	1.84
T3	-13336.91	7205.06	982.94	4.21

Antenna	X	Y	Z
T1	-12797.71	-10920.64	1368.99
T2	-11878.52	-1622.57	1390.74
T3	-12468.55	7500.76	1376.98

Situation	Condition	Amplitude of the received signal	Synthesis efficiency
1	T1 emission	-77.1dBm
2	T2 emission	-76.5dBm
3	T3 emission	-76.9dBm
4	Uncalibrated synthesis signal	-72.4dBm	27.9%
5	Calibrated synthesis signal	-68.2dBm	88.4%