ARMA滤波在加速度法反演地球重力场中的应用  

Application of ARMA Filtering to Earth's Gravity Field Recovery Based on Acceleration Approach

作　　者：钟波[1,2] 汪海洪[1,2] 罗志才[1,2] 宁津生[1,2] 

机构地区：[1]武汉大学测绘学院,武汉市珞喻路129号430079 [2]武汉大学地球空间环境与大地测量教育部重点实验室,武汉市珞喻路129号430079

出　　处：《武汉大学学报（信息科学版）》2011年第12期1495-1499,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(40874002;40874004;41104014);国家科技支撑计划资助项目(2008BAC35B);国家教育部新世纪优秀人才支持计划资助项目(NCET-07-0635);测绘遥感信息工程国家重点实验室专项科研经费资助项目

摘　　要：探讨了根据ARMA模型构造白化滤波器对卫星加速度进行去相关滤波的方法。给出了加速度法和去相关最小二乘解算的基本原理,推导了基于加速度法整体求解加速度计尺度因子、偏差参数和重力场位系数的计算公式。在此基础上,讨论了利用ARMA去相关滤波法抑制卫星加速度有色噪声的具体处理方案。实验结果验证了所提方法的有效性。As the noise in orbit-derived accelerations is colored,the decorrelation filter based on ARMA（auto regressive moving average） model is proposed to suppress the noise.The principle of the acceleration approach and the least-squares solution using decorrelation algorithm are introduced.And the mathematic model to simultaneously estimate the accelerometer scale factors,bias parameters and geopotential coefficients are also derived.Furthermore,the specific scheme for processing the colored noise of satellite accelerations based on ARMA filter is discussed.The Earth＇s gravity field model WHUCHAMP-ACC60KP up to degree 60 is recovered from 46-day CHAMP kinematic orbits and accelerometer data.Compared with the models of EGM96,EIGEN-1S,EIGEN-2 and EIGEN-CHAMP03S,the results show that WHUCHAMP-ACC60KP is more accurate than EIGEN-1S,and its total accuracy is near to the model of EIGEN-2,which validates the effectiveness of the proposed method.

关 键 词：加速度法 ARMA滤波 有色噪声 地球重力场 CHAMP 

分 类 号：P223.0[天文地球—大地测量学与测量工程]