The application of Sage-Husa adaptive Kalman filtering in airborne gravity data processing
ZHENG Wei1, ZHANG Gui-Bin1, CHEN Tao1, SUO Kui1, LI Ri2
1. China University of Geosciences Beijing, Beijing 100083;
2. China Aero Geophysical Survey and Remote Sensing Center for Land and Resources, Beijing 100083, China
There are various kinds of noises in the raw data observed by airborne gravimetry.Kalman filtering is one of the technologies for obtaining the gravity anomaly from the data.Standard Kalman filtering is capable of obtaining precision gravity anomaly based on accurate statistical noise information,but the noise information is difficult to obtain in practice.Therefore,the measurement noise adaptive Kalman filter based on the analysis of Sage-Husa adaptive Kalman filtering is designed in this paper.Then the adaptive Kalman filter combined with fixed-interval smoother is applied to process simulation data.It can be seen from the simulation result that the errors caused by filter non-convergence are eliminated by fixed-interval smoother.Moreover,compared with the gravity anomaly estimated by standard Kalman filter,accurate gravity anomaly is extracted from the noised data by the adaptive filter when measurement noise information is unknown.
[1] 夏哲仁,石磬,孙中苗.航空重力测量系统CHAGS [J].测绘学报,2004,33(3):216-220.[2] 夏哲仁,孙中苗.航空重力测量及其技术应用[J].测绘科学,2006,31(6):43-46.[3] 周坚鑫,刘浩军,王守坦.航空重力测量在我国地球物理勘探中的应用展望 [C].中国地球物理学会第十九届年会论文集,2003:173.[4] 熊盛青.我国航空重磁勘探技术现状与发展趋势[J].地球物理学进展,2009,24(1):113-117.[5] 孙中苗.航空重力测量理论、方法和应用研究[D].郑州:解放军信息工程大学,2004.[6] 孙中苗,石磐,夏哲仁,等.利用GPS和数字滤波技术确定航空重力中的垂直加速度[J].测绘学报,2004,33(2):110-115.[7] 王静波,熊盛青,郭志宏,等.航空重力数据Kalman滤波平滑技术应用研究[J].地球物理学进展,2012,27(4):1717-1722.[8] 王静波,熊盛青,郭志宏,等.航空重力异常估计方法研究[J].物探与化探,2011,35(4):493-498.[9] Bolotin Y V,Popelensky M Y.Accuracy analysis of airborne gravity when gravimeter parameters are identified in flight [J].Journal of Mathematical Science,2007,146(3):5911-5919.[10] Bolotin Y V.Golvan A A.Methods of inertial gravimetry [J].Moscow University Mechanics Bulletin,2013, 68(5):117-125.[11] 熊盛青,周锡华,郭志宏,等.航空重力勘探理论方法及应用[M].北京:地质出版社,2010.[12] 魏伟,秦永元,张晓东,等.对Sage-Husa算法的改进[J].中国惯性技术学报,2012,20(6):678-686.[13] Hide C,Moore T,Smith M.Adaptive Kalman filtering algorithms for integrating GPS and low cost INS[C] .Position Location and Navigation Symposium,2004:227-233.[14] 秦永元,张洪钺,汪叔华.卡尔曼滤波与组合导航原理(第二版) [M].西安:西北工业大学出版社,2012.[15] 杨丹.卡尔曼滤波器设计及其应用研究.湘潭:湘潭大学,2014.[16] 李旦,秦永元,梅春波.组合导航自适应卡尔曼滤波算法研究[J].测控技术,2011,30(3):114-116.[17] Rauch H E,Tung T,Striebel C T.Maximum likelihood estimates of linear dynamic systems [J].AIAA Journal,1965,3(8):1445-1450.[18] Sakka S.Bayesian filtering and smoothing [M].Cambridge: Cambridge University Press,2013.[19] 程建华,陈岱岱,赵琳,等.基于CWPA模型的最优平滑算法性能及应用[J].中国惯性技术学报,2014,22(6):748-753.