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利用 ARMA 模型短期预报北极地区电离层 T EC
引用本文:卢建春,乔书波,冯炜,祝海峰.利用 ARMA 模型短期预报北极地区电离层 T EC[J].测绘工程,2016,25(3).
作者姓名:卢建春  乔书波  冯炜  祝海峰
作者单位:信息工程大学,河南 郑州,450001;中国科学院 测量与地球物理研究所,湖北 武汉 430077;北京卫星导航中心,北京 100094
基金项目:国家自然科学基金资助项目(U 1431115;41374042);大地测量与地球动力学国家实验室开放式基金资助项目(SKLGED 2014-3-5-E)
摘    要:北极地区电离层结构分布较为特殊,存在梯度变化。利用时间序列分析中的自回归移动平均模型(Autoregressive Moving Average,ARMA)对欧洲定轨中心(CODE)发布的北纬67.5°~87.5°以及利用反距离加权插值法得到的90°的格网数据逐点进行建模,分别利用7d、10d、20d、30d、40d、50d的电离层TEC值为样本数据采用线性最小方差法进行预报分析。结果表明:90%以上的预报绝对误差小于3TECU,预报精度随TEC样本序列长度的增加而提高,但样本序列增加到一定值后,相对精度提高不大;相同样本数据的预报精度随预报时间长度的增加而降低,起初不是很明显,超过20d后精度降低明显且波动幅度较大。尽管北极地区存在梯度变化,ARMA模型在北极地区具有较高的预报精度,是一种比较理想的预报方法。

关 键 词:ARMA  北极地区  电离层TEC  线性最小方差预报

Short-term TEC prediction of the arctic ionosphere based on ARMA model
LU Jianchun,QIAO Shubo,FENG Wei,ZHU Haifeng.Short-term TEC prediction of the arctic ionosphere based on ARMA model[J].Engineering of Surveying and Mapping,2016,25(3).
Authors:LU Jianchun  QIAO Shubo  FENG Wei  ZHU Haifeng
Abstract:The Arctic ionosphere structure distribution is special ,which embraces the changes of gradient . The autoregressive moving average (ARMA) model is used from the time analysis theory to model the grid data of latitude 67.5°~87.5°provided by Center for Orbit Determination in Europe (CODE) and latitude 90° is obtained using Inverse Distance to a Power point by point .The ionosphere TEC of 7 days ,10 days ,20 days ,30 days ,40 days ,50 days as sample data are adopted plus the linear minimum variance method for prediction .The results show that more than 90% of predicted absolute error is less than 3 TECU .The predicted accuracy will be improve with the increase of TEC sample sequences length ,but it will gradually reduce if the length exceeds the optimal length about 40 days .On the other hand ,with the same TEC sample ,and the predicted days increase ,the predicted accuracy decreases .Though it is not very obvious in the beginning ,it will be reduced distinctly and the fluctuation will be larger over 20 days .Despite the existence of change of gradient in the Arctic ,the ARMA model has good predicted accuracy ,which will be a kind of ideal predicted model .
Keywords:ARMA  Arctic  ionosphere TEC  linear minimum variance prediction
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