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Shinghal and Bisnath  Satell Navig            (2021) 2:10                                Page 9 of 17






























              Fig. 9  PPP 2D and 3D RMS positioning accuracy using three diferent stochastic models for Xiaomi MI 8 and SwiftNav Piksi measurements, DOY
              146, 2019



            Table 4  PPP positioning accuracy using three diferent stochastic models for Xiaomi MI 8 and SwiftNav Piksi measurements, DOY 146,
            2019
            Scenario                                      Positioning accuracy                      Convergence
                                                                                                    time (min)
                                                          Horizontal (m)          3D (m)
            Static stochastic modeling—Xiaomi MI 8        0.81                    1.35              75
            C/N -based stochastic modeling—Xiaomi MI 8    0.72                    1.27              58
               0
            Elevation-based stochastic modeling—Xiaomi MI 8  0.94                 1.74              72
            Elevation-based stochastic modeling—Piksi     0.14                    0.16              9


            weighting assignments: static, elevation-based and C/
            N -based.
              0
              Te horizontal and vertical positioning accuracy after
            convergence is presented in Table 4.
              To obtain sub-metre level positioning accuracy, the
            convergence threshold was chosen to be 1 m, and with
            C/N -based  stochastic  modeling,  the  dataset  position-
                0
            ing converges in 58 min, as compared to 72 min for the
            elevation-based model and 75 min for the static stochas-
            tic  model. Te  C/N -based  stochastically  modeled  data
                             0
            show improved initialization, convergence and least 2D
            and 3D RMS error.
              To validate the reproducibility of the results and the
            efectiveness of the C/N -based technique over the ele-
                                 0
            vation-based weighting technique, the frst hour of data
            processing  for  the  mannequin dataset was  divided into
            segments of 20 min each. Terefore, the PPP processor
            resets every 20 min and processes the data using the C/
            N  and elevation-based weighting strategy. Te horizon-
              0
            tal RMS of the two solutions is compared and depicted   Fig. 10  PPP horizontal positioning accuracy using diferent
            in Fig. 10.                                        stochastic models for smartphone reset experiment
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