基于Bayes算法的Abel积分反演折射指数的研究  

Study on Abelian inversion of refractive index based on Bayesian algorithm

作　　者：王宇 黄思训 项杰 WANG Yu;HUANG SiXun;XIANG Jie(School of Statistics and Mathematics,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China;College of Meteorology and Oceanography,National University of Defense Technology,Nanjing 211101,China;State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,State Oceanic Administration,Hangzhou 310012,China)

机构地区：[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

出　　处：《地球物理学报》2019年第12期4506-4512,共7页Chinese Journal of Geophysics

基　　金：国家自然科学基金项目（41575026,91730304）资助

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.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.

关 键 词：BAYES算法 折射指数 ABEL积分 TIKHONOV正则化 

分 类 号：P401[天文地球—大气物理学与大气环境]