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Bernese GPS Software Version 5.0 - Bernese GNSS Software

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Comparison of Individual Solutions:<br />

----------------------------------<br />

10.3 Coordinate and Velocity Estimation in Practice<br />

BRUS N 0.49 -0.26 0.11 -0.45 -0.46 -0.26 0.47 0.79<br />

BRUS E 0.49 -0.38 0.24 0.56 0.34 0.33 -0.03 -0.83<br />

BRUS U 2.53 -2.39 -2.82 -1.85 1.54 3.16 2.92 0.74<br />

ZIMM N 0.37 0.67 0.11 -0.18 -0.22 -0.33 -0.30 0.29<br />

ZIMM E 0.50 -0.50 -0.25 -0.23 -0.37 0.24 0.58 0.77<br />

ZIMM U 2.91 -2.06 -3.87 -2.56 0.16 3.20 3.78 0.76<br />

Figure 10.3: Coordinate residuals in the ADDNEQ2 program output file.<br />

If option “Compute and compare individual solutions” in panel “ADDNEQ2 3.1: Options 1” is set to<br />

HELMERT a seven-parameter Helmert transformation is applied to compare each individual<br />

solution with the combined solution. The corresponding Helmert parameters are listed in<br />

the program output file.<br />

In panel “ADDNEQ2 4: Comparison of Individual Solutions” threshold values for residuals and for<br />

repeatability RMS values may be specified as well as a minimum number of contributing<br />

input normal equation files. These options allow it to automatically generate a list of stations<br />

for which the coordinate comparison indicates anomalous behavior. If outliers are found<br />

they are reported directly below the comparison output section. Enabling the options does,<br />

however, not have any influence on the results but only notifies possible outliers in the<br />

program output. It might be a good idea to repeat the ADDNEQ2 run and pre-eliminate<br />

the misbehaving stations before stacking. This can easily be achieved by a corresponding<br />

entry in the station information file.<br />

10.3.4 Velocity Estimation<br />

If the multi-session solution covers a reasonable long time interval, e.g., one year or more,<br />

it is possible to estimate station velocities with ADDNEQ2. The technicalities of velocity<br />

estimation are described in Section 9.3.8.1.<br />

Velocity estimation is activated by the option “Set up station velocities” in panel “ADDNEQ2 3.1:<br />

Options 1”. Estimated velocities are not automatically given in the geodetic datum defined for<br />

the station positions. As a consequence the datum has to be defined separately for positions<br />

and velocities. The corresponding panel “ADDNEQ2 6: Datum Definition for Station Velocities”<br />

is similar to the coordinate related panel and offers the same options (cf. Figure 10.1).<br />

It is recommended to introduce a priori velocities (option “Station velocities” in panel<br />

“ADDNEQ2 1: Input Files”) and define the velocity datum using a no-net-translation condition<br />

on the velocity vectors (sum of improvements constrained to zero) for the reference sites.<br />

Alternatively, velocities may be tightly constrained if good a priori velocities are known.<br />

For small networks and for not too large displacements in the considered time interval it is<br />

possible to use a priori coordinates propagated to the middle epoch of the analyzed time<br />

period, specify no a priori velocities, and constrain the velocity vector of one site. The estimated<br />

velocities of the other sites then are relative to that specific site. In no case station<br />

coordinates should be fixed if velocities are estimated.<br />

<strong>Bernese</strong> <strong>GPS</strong> <strong>Software</strong> <strong>Version</strong> <strong>5.0</strong> Page 223

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