GPS/LEO掩星正则变换反演方法

徐贤胜; 郭鹏; 洪振杰; 吴江飞

doi:10.7498/aps.62.079201

摘要

利用无线电全息方法, 如正则变换方法或全谱反演方法, 可以有效地解决大气多路径条件下GPS掩星信号的反演问题. 本文采用正则变换方法反演掩星资料, 模拟仿真反演结果显示正则变换方法可以准确地反演包含大气多路径效应的信号. 在模拟信号的相位中加入不同程度的高斯相位噪声后, 正则变换方法的反演结果会受到不同程度的影响. 用正则变换方法对2007年第71天至73天共约4500个COSMIC数据进行处理. 将其折射率反演结果和atmPrf资料 (利用全谱反演方法计算得到) 一起, 与对应的ECMWF 分析场资料进行统计比较, 结果表明: 在5 km以下, 正则变换方法计算的折射率的相对误差的平均值普遍大于atmPrf资料. 其原因可能为: 正则变换方法将信号从LEO轨迹后传播至辅助屏, 造成孔径缩小, 精度下降. 同时也讨论了信号截断对低对流层中反演精度和掩星个数的影响.

关键词:

Abstract

Under the atmospheric multipath conditions, both canonical transform (CT) and full spectrum inversion (FSI) method can solve the problem of calculating bending angle profiles within the multipath area. The atmospheric propagation of GPS signals under atmospheric multipath conditions is simulated using multiple phase screens (MPS) technique. Bending angle profiles computed by CT method are compared with corresponding solutions to Abel integral (taken as the true value). The results show that CT method is close to the true value in the multipath area. The retrieval accuracy of CT method is degraded to some extent when Gaussian noises are added to the phase of simulated signal. About 4500 COSMIC (Constellation Observing System for Meteorology, Ionosphere and Climate) atmPhs profiles from DOY (day of year) 71 to DOY 73 in 2007 are retrieved by CT method. Statistical comparisons of the retrieved refractivity profiles, together with atmPrf data (retrieved by FSI method), with those from corresponding ECMWF (European Centre for Medium-Range Weather Forecasts) analysis show that CT method contains greater systematic negative bias than atmPrf data below 5 km. A possible reason is that the signal aperture is decreased for back-propagating the signal from LEO position to the back-propagation plane in CT method. The small aperture means low accuracy in the refractivity. The influence of signal truncation on both retrieval accuracy and occultation number is also discussed.

Keywords:

作者及机构信息

1.
浙江大学宁波理工学院, 宁波 315100;

2.
中国科学院上海天文台, 上海 200030;

3.
温州大学, 数学与信息科学学院, 温州 325027;

4.
信息工程大学, 地理空间信息学院, 郑州 450052

基金项目: 地震行业科研专项 (批准号: 201108004), 国家自然科学基金 (批准号: 11103068, 11273047) 和上海市科委科研计划项目 (批准号: 12DZ1111100) 资助的课题.

Authors and contacts

1.
Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;

2.
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China;

3.
School of Mathematics & Information Science, Wenzhou University, Zhejiang 325027, China;

4.
Institute of Geospatial Information, Information Engineering University, Zhengzhou 450052, China

Funds: Project supported by the Seism Public Welfare Scientific Research Project (Grant No. 201108004), the National Natural Science Foundation of China (Grant Nos. 11103068, 11273047), and the Shanghai Science and Technology Committee Research Project (Grant No. 12DZ1111100).

参考文献

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[2]	Sokolovskiy S, Rocken C, Hunt D, Schreiner W, Johnson J, Masters D, Esterhuizen S 2006 Geophys. Res. Lett. 33 L14816
[3]	Sokolovskiy S 2001 Radio Sci. 36 441
[4]	Kuo Y H, Wee T K, Sokolovskiy S, Rocken C, Schreiner W, Hunt D, Anthes R A 2004 J. Meteor. Soc. Jpn. 82 507
[5]	Gorbunov M E, Gurvich A S 1998 J. Geophys. Res. 103 13819
[6]	Xu X S, Huang S X, Guo P, Hong Z J 2011 Chinese J. Geophys. 54 2193 (in Chinese) [徐贤胜, 黄思训, 郭鹏, 洪振杰 2011 地球 54 2193]
[7]	Xu X S, Guo P, Huang S X, Xiang J 2011 Acta Phys. Sin. 60 099202 (in Chinese) [徐贤胜, 郭鹏, 黄思训, 项杰 2011 60 099202]
[8]	Xu X S, Guo P, Huang S X, Xiang J, Hong Z J 2011 GPS Solut. Submit
[9]	Jensen A S, Lohmann M S, Benzon H H, Nielsen A S 2003 Radio Sci. 38 1040
[10]	Gorbunov M E 2002 Radio Sci. 37 1076
[11]	Gorbunov M E 2002 Radio Sci. 37 1014
[12]	Sokolovskiy S, Rocken C, Schreiner W, Hunt D 2010 J. Geophys. Res. 115 D22111
[13]	Lohmann M S, Jensen A S, Benzon H H, Nielsen A S 2006 Radio Sci. 41 RS3001
[14]	Guo P, Kuo Y H, Sokolovskiy S, Lenschow D H 2011 J. Atmos. Sci. 68 1703
[15]	Sokolovskiy S 2003 Radio Sci. 38 1058
[16]	Xie F, Wu D L, Ao C O, Kursinski E R, Mannucci A J, Syndergaard S 2010 Geophys. Res. Lett. 37 L11805
[17]	Xu X S, Guo P, Xu T L, Hong Z J 2012 Acta Phys. Sin. 61 199202 (in Chinese) [徐贤胜, 郭鹏, 徐桃玲, 洪振杰 2012 61 199202]
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施引文献

[1]	Hu X, Zeng Z, Zhang X X, Zhang D Y, Xiao C Y 2005 Chinese J. Geophys. 48 768 (in Chinese) [胡雄, 曾桢, 张训械, 张冬娅, 肖存英 2005 地球 48 768]
[2]	Sokolovskiy S, Rocken C, Hunt D, Schreiner W, Johnson J, Masters D, Esterhuizen S 2006 Geophys. Res. Lett. 33 L14816
[3]	Sokolovskiy S 2001 Radio Sci. 36 441
[4]	Kuo Y H, Wee T K, Sokolovskiy S, Rocken C, Schreiner W, Hunt D, Anthes R A 2004 J. Meteor. Soc. Jpn. 82 507
[5]	Gorbunov M E, Gurvich A S 1998 J. Geophys. Res. 103 13819
[6]	Xu X S, Huang S X, Guo P, Hong Z J 2011 Chinese J. Geophys. 54 2193 (in Chinese) [徐贤胜, 黄思训, 郭鹏, 洪振杰 2011 地球 54 2193]
[7]	Xu X S, Guo P, Huang S X, Xiang J 2011 Acta Phys. Sin. 60 099202 (in Chinese) [徐贤胜, 郭鹏, 黄思训, 项杰 2011 60 099202]
[8]	Xu X S, Guo P, Huang S X, Xiang J, Hong Z J 2011 GPS Solut. Submit
[9]	Jensen A S, Lohmann M S, Benzon H H, Nielsen A S 2003 Radio Sci. 38 1040
[10]	Gorbunov M E 2002 Radio Sci. 37 1076
[11]	Gorbunov M E 2002 Radio Sci. 37 1014
[12]	Sokolovskiy S, Rocken C, Schreiner W, Hunt D 2010 J. Geophys. Res. 115 D22111
[13]	Lohmann M S, Jensen A S, Benzon H H, Nielsen A S 2006 Radio Sci. 41 RS3001
[14]	Guo P, Kuo Y H, Sokolovskiy S, Lenschow D H 2011 J. Atmos. Sci. 68 1703
[15]	Sokolovskiy S 2003 Radio Sci. 38 1058
[16]	Xie F, Wu D L, Ao C O, Kursinski E R, Mannucci A J, Syndergaard S 2010 Geophys. Res. Lett. 37 L11805
[17]	Xu X S, Guo P, Xu T L, Hong Z J 2012 Acta Phys. Sin. 61 199202 (in Chinese) [徐贤胜, 郭鹏, 徐桃玲, 洪振杰 2012 61 199202]
[18]	Gorbunov M E, Lauritsen K B 2004 Radio Sci. 39 RS4010

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