BDS positioning error in the whole country. Few articles analyze the characteristics of
BDS positioning error from the positioning domain. Paper [2] uses the continuous
observation data of the domestic regional monitoring network to show that the positioning error is relatively stable in time scale and uneven in space scale. Paper [3]
analyzes the main factors affecting the dynamic positioning error of BDS and evaluates
the positioning performance of the system. The research methods of the above literature
have reference significance for analyzing the data characteristics of BDS positioning
error.
In this paper, the static single-point positioning error and differential positioning
error of BDS are taken as the sample data. And the time series analysis method is used
to study the positioning error characteristics of the two positioning methods from the
angles of self-correlation, extremity and thick tail. The thick tail of positioning error is
qualitatively and quantitatively verified based on the distribution statistics and kurtosis
coefficients, respectively. The analysis results can provide a basis to establish an
accurate error distribution model in the integrity evaluation of BDS.
2 The Error Sources of BDS Positioning
The origin of BDS positioning error can be divided into three sources as shown in
Fig. 1.
(1) Error related to the satellites: These errors mainly include satellite clock error and
ephemeris error which are caused by the inability of ground monitoring station to
make absolutely accurate measurements and predictions of satellite orbit and
frequency drift of the satellite clock [4, 5]. The ephemeris error varies very slowly
with time and has strong spatial and temporal correlation.
(2) Error related to the signal transmitting: Signal transmitting from the satellite to the
receiver needs to pass through the atmosphere. The influence of atmosphere on
signal transmitting is atmospheric delay which is usually divided into ionospheric
delay and tropospheric delay with high spatial correlation [6].
satellites
receiver
error sources related to satellites
error sources related to
signal transmitting
error sources related to
the receiver
atmosphere
multipath
Fig. 1. Error sources of BDS positioning
Analysis and Experimental Research on Data Characteristics …
37
BDS positioning error from the positioning domain. Paper [2] uses the continuous
observation data of the domestic regional monitoring network to show that the positioning error is relatively stable in time scale and uneven in space scale. Paper [3]
analyzes the main factors affecting the dynamic positioning error of BDS and evaluates
the positioning performance of the system. The research methods of the above literature
have reference significance for analyzing the data characteristics of BDS positioning
error.
In this paper, the static single-point positioning error and differential positioning
error of BDS are taken as the sample data. And the time series analysis method is used
to study the positioning error characteristics of the two positioning methods from the
angles of self-correlation, extremity and thick tail. The thick tail of positioning error is
qualitatively and quantitatively verified based on the distribution statistics and kurtosis
coefficients, respectively. The analysis results can provide a basis to establish an
accurate error distribution model in the integrity evaluation of BDS.
2 The Error Sources of BDS Positioning
The origin of BDS positioning error can be divided into three sources as shown in
Fig. 1.
(1) Error related to the satellites: These errors mainly include satellite clock error and
ephemeris error which are caused by the inability of ground monitoring station to
make absolutely accurate measurements and predictions of satellite orbit and
frequency drift of the satellite clock [4, 5]. The ephemeris error varies very slowly
with time and has strong spatial and temporal correlation.
(2) Error related to the signal transmitting: Signal transmitting from the satellite to the
receiver needs to pass through the atmosphere. The influence of atmosphere on
signal transmitting is atmospheric delay which is usually divided into ionospheric
delay and tropospheric delay with high spatial correlation [6].
satellites
receiver
error sources related to satellites
error sources related to
signal transmitting
error sources related to
the receiver
atmosphere
multipath
Fig. 1. Error sources of BDS positioning
Analysis and Experimental Research on Data Characteristics …
37