Analysis and Experimental Research on Data
Characteristics of BDS Positioning Error
He Li
(&)
, Yi Mao, Yongjie Yan, and Xiaozhu Shi
The 28th Research Institute of China Electronics Technology Group Corporation,
Nanjing 210007, China
{lihesky1988,yyj_cet28,xidianshi1988}@163.com,
mao_y@nuaa.edu.cn
Abstract. Aiming at the problem that the integrity evaluation of satellite
navigation and its augmentation system needs to analyze the characteristics of
positioning error data, this paper proposes to use the time series analysis method
to analyze the characteristics of the positioning error data of BDS single-point
positioning and differential positioning from multiple angles of self-correlation,
extremity and thick tail, which can provide the basis for deducing the integrity
risk value by establishing an accurate positioning error distribution model. The
result shows that the self-correlation of BDS differential positioning error is
significantly lower than that of single-point positioning error. And the error of
the two positioning methods in vertical and horizontal directions shows the
characteristic of thick tail. Compared with the normal distribution, the singlepoint vertical positioning error has the most serious thick tail, reaching 420.3%
and the differential horizontal positioning error has the lightest thick tail, only
22.9%. This indicates that the differential positioning method has better positioning performance and integrity.
Keywords: Satellite navigation Á Positioning error Á Data characteristic Á
Integrity evaluation
1 Introduction
With the sustained growth of global air transport business, civil aviation requires higher
and higher positioning performance and integrity of satellite navigation system. Due to
the influence of satellite clock error, ephemeris error, ionospheric delay, tropospheric
delay and multipath effect, the positioning error of satellite navigation system may
exceed the threshold set by International Civil Aviation Organization (ICAO). And the
probability that the system can not detect the transfinite events which lead to the
misleading information of the aircraft operation is called integrity risk [1]. Nowadays,
with the rapid development of BeiDou Satellite Navigation System (BDS) and its
augmentation system, the integrity evaluation of the system has been paid more and
more attention. It is an effective evaluation method by establishing the distribution
model of positioning error to derive integrity risk value. The data characteristics of
positioning error are the important basis for choosing a reasonable distribution model.
At present, most domestic literatures focus on the temporal and spatial characteristics of
© Springer Nature Singapore Pte Ltd. 2020
Q. Liang et al. (Eds.): Artificial Intelligence in China, LNEE 572, pp. 36–45, 2020.
https://doi.org/10.1007/978-981-15-0187-6_5
Characteristics of BDS Positioning Error
He Li
(&)
, Yi Mao, Yongjie Yan, and Xiaozhu Shi
The 28th Research Institute of China Electronics Technology Group Corporation,
Nanjing 210007, China
{lihesky1988,yyj_cet28,xidianshi1988}@163.com,
mao_y@nuaa.edu.cn
Abstract. Aiming at the problem that the integrity evaluation of satellite
navigation and its augmentation system needs to analyze the characteristics of
positioning error data, this paper proposes to use the time series analysis method
to analyze the characteristics of the positioning error data of BDS single-point
positioning and differential positioning from multiple angles of self-correlation,
extremity and thick tail, which can provide the basis for deducing the integrity
risk value by establishing an accurate positioning error distribution model. The
result shows that the self-correlation of BDS differential positioning error is
significantly lower than that of single-point positioning error. And the error of
the two positioning methods in vertical and horizontal directions shows the
characteristic of thick tail. Compared with the normal distribution, the singlepoint vertical positioning error has the most serious thick tail, reaching 420.3%
and the differential horizontal positioning error has the lightest thick tail, only
22.9%. This indicates that the differential positioning method has better positioning performance and integrity.
Keywords: Satellite navigation Á Positioning error Á Data characteristic Á
Integrity evaluation
1 Introduction
With the sustained growth of global air transport business, civil aviation requires higher
and higher positioning performance and integrity of satellite navigation system. Due to
the influence of satellite clock error, ephemeris error, ionospheric delay, tropospheric
delay and multipath effect, the positioning error of satellite navigation system may
exceed the threshold set by International Civil Aviation Organization (ICAO). And the
probability that the system can not detect the transfinite events which lead to the
misleading information of the aircraft operation is called integrity risk [1]. Nowadays,
with the rapid development of BeiDou Satellite Navigation System (BDS) and its
augmentation system, the integrity evaluation of the system has been paid more and
more attention. It is an effective evaluation method by establishing the distribution
model of positioning error to derive integrity risk value. The data characteristics of
positioning error are the important basis for choosing a reasonable distribution model.
At present, most domestic literatures focus on the temporal and spatial characteristics of
© Springer Nature Singapore Pte Ltd. 2020
Q. Liang et al. (Eds.): Artificial Intelligence in China, LNEE 572, pp. 36–45, 2020.
https://doi.org/10.1007/978-981-15-0187-6_5