顾及经纬度方向异性的电离层TEC IDW插值及精度分析

IDW Ionospheric TEC Interpolation and Accuracy Analysis Considering Latitude and Longitude Anisotropy

  • 摘要: 反距离加权(inverse distance weighting,IDW)是一种简单实用的插值方法。以全球电离层格网(global ionospheric map,GIM)产品为样本,考虑电离层总电子含量(total electron content,TEC)经纬度方向异性,引入经纬度方向异性调节因子,设计了包含等权在内的6种电离层距离计算方案,分析表明,电离层TEC与经度方向相关性高于纬度方向,不同电离层距离计算方案均能有效提高IDW插值精度。采用最优方案IDW插值分析长期插值精度,结果表明,电离层活动剧烈区域(南北纬度20°)连续12 a“两分两至”日前后全球电离层格网(global ionospheric map,GIM)产品插值,最优方案比普通IDW插值精度提升约25%;2014年太阳活动高年“两分两至”日GIM产品插值,地方时14 h后3~5 h电离层活动剧烈时,最优方案插值精度提升明显,插值均方根误差(root mean square,RMS)最大不超过4.0 TECU。

     

    Abstract: Inverse distance weighting (IDW) is a simple and practical interpolation method. Taking the global ionospheric map (GIM) product as a sample, the latitude and longitude anisotropy of the ionospheric total electron content (TEC) distribution is taken into account with an introduction of the latitude and longitude adjustment factor r. Six ionospheric distance calculation schemes are used for testing and results show that the correlation of the ionospheric TEC with the longitude direction is higher than the latitude direction and different ionospheric distance calculation schemes can effectively improve the IDW interpolation accuracy. Using the IDW interpolation based on an optimal scheme, a long-term interpolation accuracy is analyzed and results show that the precision of the optimal scheme interpolation is about 25% higher than the general IDW interpolation precision in the ionospheric activity area (20° north and south latitude) for GIM data before and after spring vernal and summer solstice, autumnal equinox and winter solstice in 12 consecutive years. When the ionospheric activity was active at 3-5 hours after 14 o'clock in the local time of 2014, the interpolation accuracy base on the optimal scheme was improved obviously with an interpolation error smaller than 4.0 TECU.

     

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