On GPS L1 Positioning Errors’ Estimation in the Adriatic Region

Aleksandar Žic, Barbara Pongracic, Serđo Kos, David Brčić
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引用次数: 2

Abstract

Prediction of satellite positioning errors represents a substantial step towards the Global Navigation Satellite System (GNSS) performance assessment. Satellite positioning accuracy in the particular area can be expected to be similar due to prevailing environmental conditions. This similarity opens the opportunity to estimate and predict the positioning errors of close locations. The paper aims to develop a regional model of positioning errors estimation for Global Positioning System (GPS) single-frequency receivers based on ground truth data from reference stations, in this phase considering different levels of space weather activity as one f the criteria defining environmental conditions. The model should provide a simple positioning error prediction in cases where reference stations and respective data do not exist. The space weather conditions were examined to determine the influence on GPS satellite positioning performance at three selected International GNSS Service (IGS) stations in the Adriatic Region - Graz, Padua, and Matera. The mutual relations in terms of positioning error patterns were elaborated. The same 15-day period in three consecutive years was analysed. Pearson’s coefficient was utilised as a major indicator for determining the degree of correlation. The data from IGS stations Padua and Graz showed better, significant correlation results. The IGS station Matera, located farther and southward slightly differed in positioning deviations’ patterns and was not used for the model development. Satellite positioning errors of IGS Padua were used as a reference to determine the positioning errors of IGS Graz. Due to the significant correlation results, the linear regression model has been developed for the latitude, longitude, and height positioning errors. The final model coefficients were calculated as average values of the model coefficients for latitude, longitude, and height errors for elaborated periods. The cross-validation with five folds has been carried out, showing good model performance with R2 values of 0.7785 for geographic latitude, 0.8132 for the geographic longitude, and 0.7796 for height above sea level, respectively. The validation showed that the model could be applied during all levels of space weather activity on a regional basis.
亚得里亚海地区GPS L1定位误差估计
卫星定位误差预测是全球卫星导航系统(GNSS)性能评估的重要一步。由于当时的环境条件,在特定地区的卫星定位精度可以预期是相似的。这种相似性为估计和预测近距离位置的定位误差提供了机会。本文旨在建立基于参考站地面真值数据的全球定位系统(GPS)单频接收机的区域定位误差估计模型,在此阶段考虑不同水平的空间天气活动作为定义环境条件的标准之一。在没有参考站和相关数据的情况下,该模型应提供简单的定位误差预测。研究了空间天气条件,以确定在亚得里亚海地区三个选定的国际GNSS服务(IGS)站(格拉茨、帕多瓦和马泰拉)对GPS卫星定位性能的影响。阐述了定位误差模式的相互关系。对连续三年相同的15天进行了分析。皮尔逊系数被用作确定相关程度的主要指标。来自帕多瓦和格拉茨的IGS站点的数据显示出更好的显著相关结果。位于更远和更南的IGS观测站Matera在定位偏差模式上略有不同,未用于模型开发。以帕多瓦IGS的卫星定位误差为参考,确定格拉茨IGS的定位误差。由于相关结果显著,我们建立了纬度、经度和高度定位误差的线性回归模型。最后的模式系数计算为详细时期的纬度、经度和高度误差模式系数的平均值。进行了5次交叉验证,模型性能良好,地理纬度、地理经度和海拔高度的R2分别为0.7785、0.8132和0.7796。验证结果表明,该模式可在区域基础上应用于所有级别的空间天气活动。
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