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Xia et al. Satell Navig             (2021) 2:8                                          Page 16 of 19





                                                              average number of observed satellites is 8.2, 6.1, 3.2 and
                                                              0.3, respectively. However, the number of the visible GPS
                                                              satellites is more stable. In contrast, the numbers of the
                                                              visible BDS and GLONASS satellites vary greatly. Galileo
                                                              has only 8 epochs when 4 satellites are observed, and only
                                                              1 or 0 satellite visible in most of the observation period.
                                                              From  the  variation  trend  of  the  numbers  of  the  visible
                                                              BDS and GLONASS satellites, the troughs of their bro-
                                                              ken lines correspond to the dense forest areas, indicating
                                                              that this harsh environment has the least impact on GPS
                                                              signals. Teir GDOP values also confrm this. Te GDOP
                                                              values of GPS are small and stable with an average of 2.6,
                                                              while those of BDS and GLONASS are very unstable, and
                                                              GLONASS is the worst.
                                                                We performed smartphone positioning solutions for
                                                              each satellite system, and the results are shown in Fig. 19.
                                                                Te average value of GLONASS positioning results is
                                                              selected as the origin of the topocentric coordinate sys-
                                                              tem. Galileo is ignored because its visible satellites are
              Fig. 19  Kinematic smartphone positioning results based on diferent   too few. Obviously, the positioning results of the BDS/
              satellite systems                               GPS fusion are the smoothest and well follow the motion
                                                              trajectory. GPS performs best among the three systems,
                                                              matching  the  track  obtained  with  the  BDS/GPS fusion.
            each system was reduced compared with that in the static   BDS is a bit inferior to GPS, especially in the dense for-
            experiment.                                       est areas. GLONASS has the worst performance, almost
              Te GPS satellites tracked by the smartphone were still   impossible to position in the dense forests.
            the most, followed by BDS, GLONASS and Galileo. Teir






































              Fig. 20  Kinematic smartphone positioning biases of BDS and GPS with respect to the BDS/GPS combination
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