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Cheng et al. Satell Navig             (2021) 2:2                                         Page 2 of 12





            Table 1  Information on the ITRFs released after the ITRF97  control stations at the observation epoch from a com-
                                                              bined adjustment based on the constraint-free normal
            Version         GPS week          Duration
                                                              equation systems provided by several IGS analysis cent-
            ITRF2000        1043–1399         12 2 2001–11 4 2006  ers, for a better alignment between the two associated
            ITRF2005        1400–1585         11 5 2006–5 30 2010  ITRFs with the GNSS stations and the control stations.
            ITRF2008        1586–1800         5 31 2010–1 20 2016  Te third step is correcting the above-obtained coor-
            ITRF2014        1801–             1 21 2016–      dinates to the reference epoch 2000.0 using a plate
                                                              motion model or the linear velocity feld in mainland
                                                              China developed in this study.
            CGCS2000 (Liu et  al.  2014). Te frst approach cannot   Te purpose of this paper is to introduce optimal meth-
            achieve high accuracy of the transformed coordinates,   ods or strategies for aligning a regional network to an
            because of the limited velocity precision of the stations.   ITRF and updating the CGCS2000 coordinates of sta-
            Te second approach does not consider plate motions,   tions by considering plate movement, to avoid the net-
            leading to some distortion of the regional network.  work distortion due to incorrect method. Te detailed
              In this study, to obtain accurate positions of GNSS sta-  procedure for aligning the regional network with an ITRF
            tions in the CGCS2000, two steps are normally carried   includes two steps. Te frst step is to select control sta-
            out. Te frst step is to process the observations of the   tions considering consistent of their movement with their
            GNSS stations to obtain their coordinates at the observa-  corresponding plate. Te second step is to obtain the
            tion epoch in their associated ITRF. Te second step is   coordinates of the stations of the regional network in the
            to correct the coordinates obtained above to the refer-  associated ITRF under control of the selected control sta-
            ence epoch 2000.0 using a plate motion model or a linear   tions. For updating the regional CGCS2000 frame, addi-
            velocity feld in mainland China. If the above ITRF is not   tional step is needed, to transform the coordinates of the
            the ITRF97, additional transformation into the ITRF97 is   stations in the ITRF to the CGCS2000 using their veloci-
            needed using the transformation parameters at the epoch   ties and seven transformation parameters between the
            2000 and their rates between the two ITRFs.       associated ITRFs.
              In the frst step, for the alignment of a regional GNSS   Tis paper is organized as follows. Section 2 introduces
            network with an ITRF, regional control stations are   the strategies for aligning the Chinese regional GNSS
            needed. Currently, the most common method is to select   network with the ITRF2005, including the determination
            the  International  GNSS  Service  (IGS)  stations  in  the   of the criteria for the selection of GNSS reference stations
            region and its surrounding areas, even their movement   as the control stations of the Chinese regional network
            trends do not agree with the corresponding plates. More-  and the refnement of the coordinates of the selected ref-
            over, the coordinates of the regional control stations at   erence stations in the ITRF2005. In Sect. 3, the common
            the observation time are obtained based on their veloci-  interpolation methods for constructing a new gridded
            ties provided in ITRF documentation. Tus the obtained   velocity feld in mainland China are compared and ana-
            coordinates are the mean positions of the stations in   lyzed, and the accuracy of the updated CGCS2000 based
            the period from the reference epoch to the observation   on the movements obtained from the newly constructed
            epoch, which are likely diferent from the real positions   gridded velocity feld is evaluated. Section 4 gives sum-
            of the stations at the observation time.          mary and conclusions.
              In the second step, to obtain the coordinates of GNSS
            stations in the CGCS2000, the quasi-stable adjustment
            method is used, which uses some selected CGCS2000   Strategy for aligning the Chinese regional GNSS
            reference stations as the control stations for strongly   network with an ITRF
            tying the two associated frames. However, if a regional   In GNSS data processing, the single-day solutions are
            GNSS network covers diferent plates, which have dif-  obtained using the GAMIT or Bernese software, then
            ferent movement directions and magnitudes, the above   some reference stations are selected as control sta-
            adjustment can distort the network. To overcome this   tions and used in a multi-day combined adjustment for
            problem, the following procedure of three steps was   aligning a regional network with an ITRF. Since GNSS
            carried out in this study. Te frst step is determining   single-day solutions can be obtained with most of the
            the criteria for the selection of global control stations   professional software packages, in this section we focus
            for the quasi-stable adjustment in the ITRF, which only   on the strategies for selecting control stations and obtain-
            selects the stations that well represent the geometric   ing their refned coordinates.
            relationship between the two associated frames. Te
            second step is estimating the positions of the selected
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