王宇^1,,
黄思训^2,3,,,
项杰²
1. 上海立信会计金融学院 统计与数学学院, 上海 201209
2. 国防科技大学气象海洋学院, 南京 211101
3. 国家海洋局第二海洋研究所卫星海洋环境动力学国家重点实验室, 杭州 310012

基金项目: 国家自然科学基金项目（41575026，91730304）资助


详细信息

作者简介: 王宇, 女, 专任教师.主要从事大气科学中的非线性问题的理论和数值研究.E-mail:wangyu20140901@163.com

通讯作者: 黄思训, 男, 教授.主要从事流体力学与大气科学中的非线性问题的理论和数值研究.E-mail:huangsxp@163.com

中图分类号: P401

收稿日期:2018-05-25
修回日期:2019-03-01
上线日期:2019-12-05

Study on Abelian inversion of refractive index based on Bayesian algorithm

WANG Yu^1,,
HUANG SiXun^2,3,,,
XIANG Jie²
1. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, China
2. College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 211101, China
3. State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China


More Information

Corresponding author: HUANG SiXun,E-mail:huangsxp@163.com

MSC: P401

--> Received Date: 25 May 2018
Revised Date: 01 March 2019
Available Online: 05 December 2019


摘要
摘要:本文将Bayes算法应用到Abel积分方程中，利用End-to-End Generic Occultation Performance Simulation and Processing System（EGOPS）软件仿真出的弯角数据来反演大气折射指数，并与Tikhonov正则化的反演结果进行对比.当直接利用仿真所得的弯角数据（认为它是不含误差的）时，Bayes算法与Tikhonov正则化的反演结果具有很好的一致性，二者的均方根误差均为2.5470×10^-8；但在实际观测过程中，由于电离层以及水汽等方面的影响，所得到的弯角数据不可避免地会含有误差，可能产生高频成分，甚至存在间断的现象，因此我们在仿真的弯角数据中加入了满足高斯型分布的随机噪声，然后进行折射指数的反演试验.结果表明，相比于Tikhonov正则化技术，Bayes算法具有更高的反演精度.
关键词: Bayes算法/
折射指数/
Abel积分/
Tikhonov正则化

Abstract:In this paper, Bayesian algorithm is applied to the Abel integral equation, and the bending angle data simulated by End-to-End Generic Occultation Performance Simulation and Processing System(EGOPS)is used to invert the atmospheric refractive index. The inversion results are compared with Tikhonov regularization. Bayesian algorithm and Tikhonov regularization inversion results have a good consistency when using the bending angle data obtained directly from the simulation(which is considered to be no errors), and their root mean square error are both 2.5470×10^-8. But in the process of actual observation, because of the influence of the ionosphere and the water vapor and so on, the bending angle data inevitably contains errors, which may produce high frequency components, or even discontinuous point, so the random noise which satisfies the Gaussian distribution is added into the original bending angle data, then the inversion experiment of refractive index is carried out. The results show that Bayesian algorithm has higher inversion precision than Tikhonov regularization technology.
Key words:Bayesian algorithm/
Refractive index/
Abel integral/
Tikhonov regularization



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