As shown in Table 2, the positioning error of the two positioning methods has the
characteristics of thick tail. Compared with the normal distribution, the single-point
vertical positioning error has the highest thick tail, reaching 420.3% and the differential
horizontal positioning error has the lowest thick tail, only 22.9%. It indicates that the
integrity risk of single-point positioning is higher than that of differential positioning.
4 Conclusion
Establishing an accurate positioning error distribution model is the key to BDS
integrity evaluation and the characteristics of positioning error are the basis for
selecting the distribution model. Based on the analysis of positioning error sources, this
paper studies the self-correlation, extremity and thick tail of positioning error with the
measured data of BDS single-point positioning and differential positioning by using
time series analysis method. The experimental results show that the self-correlation of
single-point positioning error is high and it is difficult to directly establish the evaluation model. And the distribution tail is heavy which is prone to error exceeding the
limit and increases the integrity risk of the system. Because of eliminating most of the
common error, differential positioning error has low self-correlation and is easy to
model. And evaluate the integrity of the system, and the distribution tail is light, which
reduces the integrity risk of the system.
References
1. Dan ZQ (2015) Research on integrity evaluation method of GBAS. Beijing Univ Aeronaut
Astronaut 22–24
2. Che ZW, Chang ZQ, Fan MJ (2017) Performance analysis of Beidou navigation positioning
service. Glob Positioning Syst 42(1):2–4
3. Zhang FZ, Liu RH, Ni YD (2018) The testing and analysis of BDS dynamic positioning
precise. Glob Positioning Syst 43(1):43–45
4. Li CE (2018) Spatial-temporal variation of land desertification in Xinjiang. Sci Surv Map 43
(9):33–34
5. Yang X, Xu AG, Zhu HZ (2017) The precision analysis of BDS precise orbit and precise
clock. Sci Surv Mapp 42(12):8–9
6. Hu H (2013) Research on theory and realization of GNSS precise point positioning. China
Min Univ 28–52
7. Xie G (2012) GPS principle and receiver design. National Defense Industry Press
8. FAA Specification (2008) Category I local area augmentation system ground facility. RTCA
DO-253C
Analysis and Experimental Research on Data Characteristics …
45
characteristics of thick tail. Compared with the normal distribution, the single-point
vertical positioning error has the highest thick tail, reaching 420.3% and the differential
horizontal positioning error has the lowest thick tail, only 22.9%. It indicates that the
integrity risk of single-point positioning is higher than that of differential positioning.
4 Conclusion
Establishing an accurate positioning error distribution model is the key to BDS
integrity evaluation and the characteristics of positioning error are the basis for
selecting the distribution model. Based on the analysis of positioning error sources, this
paper studies the self-correlation, extremity and thick tail of positioning error with the
measured data of BDS single-point positioning and differential positioning by using
time series analysis method. The experimental results show that the self-correlation of
single-point positioning error is high and it is difficult to directly establish the evaluation model. And the distribution tail is heavy which is prone to error exceeding the
limit and increases the integrity risk of the system. Because of eliminating most of the
common error, differential positioning error has low self-correlation and is easy to
model. And evaluate the integrity of the system, and the distribution tail is light, which
reduces the integrity risk of the system.
References
1. Dan ZQ (2015) Research on integrity evaluation method of GBAS. Beijing Univ Aeronaut
Astronaut 22–24
2. Che ZW, Chang ZQ, Fan MJ (2017) Performance analysis of Beidou navigation positioning
service. Glob Positioning Syst 42(1):2–4
3. Zhang FZ, Liu RH, Ni YD (2018) The testing and analysis of BDS dynamic positioning
precise. Glob Positioning Syst 43(1):43–45
4. Li CE (2018) Spatial-temporal variation of land desertification in Xinjiang. Sci Surv Map 43
(9):33–34
5. Yang X, Xu AG, Zhu HZ (2017) The precision analysis of BDS precise orbit and precise
clock. Sci Surv Mapp 42(12):8–9
6. Hu H (2013) Research on theory and realization of GNSS precise point positioning. China
Min Univ 28–52
7. Xie G (2012) GPS principle and receiver design. National Defense Industry Press
8. FAA Specification (2008) Category I local area augmentation system ground facility. RTCA
DO-253C
Analysis and Experimental Research on Data Characteristics …
45