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Xia et al. Satell Navig             (2021) 2:8                                        Page 13 of 19


























































              Fig. 13  C/N0 (blue) and elevation angle series (red) of BDS, GPS, Galileo and GLONASS satellites



              In  order  to  further  quantify  the  above  positioning   Te Circular Error Probable (CEP) is one of the impor-
            results, we calculated their horizontal position devia-  tant measures for the position accuracy of a navigation
            tions at each epoch by using the following formula:  system, and for the air and land applications the most
                                                              used statistical measure is 95% Radius (R95) value (Spe-

                         2    2                          (7)  cht et al. 2019), which is defned as the radius of the circle
                δ H =  δ E + δ N
                                                              centered at the reference position, containing the posi-
            where δ E  and δ N are the position deviations in the east and   tion estimate with probability of 95%. Te R68 (2D) and
            north directions, respectively. Te position deviation used   R95 (2D) values are list in Table 3.
            here refers to the diference between a determined posi-  As expected, the BDS/GPS/Galileo, has the smallest
            tion and the reference position, which is the mean of the   R95 value of horizontal position solutions, followed by
            positioning results with the corresponding satellite sys-  Galileo. Although Galileo position solutions in the east
            tem. Figure  16 illustrates the probability distribution of   direction are relatively scattered, its positioning results
            the smartphone horizontal positioning deviation using the   in the north direction are more concentrated, so that
            pseudorange observations from diferent satellite systems.  its horizontal positioning performance is the best in
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