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Bernese GPS Software Version 5.0 - Bernese GNSS Software

Bernese GPS Software Version 5.0 - Bernese GNSS Software

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daily large NEQ<br />

ADDNEQ2 small NEQ<br />

<strong>GPS</strong>EST<br />

CRD<br />

TRP<br />

study of<br />

troposphere<br />

TRP before<br />

stacking<br />

CRD<br />

Figure 9.12: Generate small normal equation files.<br />

9.5 Typical Applications<br />

archive for<br />

multy-year solution<br />

because they are not considered by ADDNEQ2 (as a result of the diagonal structure of weight<br />

matrix P p in Eqn. (9.10)). Clusters of baselines have, therefore, to be carefully selected for<br />

having minimum overlaps in order to minimize the effects of neglecting these correlations.<br />

Clusters of baselines may be defined either in program SNGDIF using a cluster definition file<br />

(description in Section 22.8.16) or may be automatically generated using program MKCLUS<br />

(see Section 19.12.2.1).<br />

9.5.2 Generate Small Normal Equation Files<br />

For reasonably large networks the troposphere parameters constitute a large fraction of all<br />

estimated parameters and are responsible for large normal equation files. It makes sense<br />

for experimental purposes to set up a number of additional parameters in <strong>GPS</strong>EST. It<br />

may, however, be advantageous to archive smaller normal equation files for later use for<br />

coordinate time series analysis. Such a reduction of normal equation size may be performed<br />

with program ADDNEQ2.<br />

Suppose, see Figure 9.12, that daily runs of program <strong>GPS</strong>EST generate large normal equation<br />

files containing coordinate and troposphere parameters. These normal equations may be<br />

used in different ADDNEQ2 runs for studying variations in troposphere delay. In a separate<br />

ADDNEQ2 run, with a single normal equation file as input, the troposphere parameters<br />

may be pre-eliminated before stacking and a small normal equation file may be written<br />

containing only coordinate parameters.<br />

Alternatively to the pre-elimination of all troposphere parameters the option<br />

EXCEPT FOR BOUNDARIES may be used (see Section 9.4.4). Troposphere parameters then<br />

remain accessible at the day boundaries for stacking of a series of normal equations. Note,<br />

however, that in this case you may still end up with a large number of parameters when<br />

stacking many normal equations.<br />

9.5.3 Back-Substitution of Coordinates<br />

Because troposphere parameters are highly correlated with the station height, troposphere<br />

estimates are improved if they are obtained, e.g., from a weekly solution instead of a daily<br />

solution. One may, therefore, be tempted to combine large daily normal equation files,<br />

containing station coordinate and troposphere parameters, to a single weekly solution and<br />

extract both types of parameters from this ADDNEQ2 run.<br />

<strong>Bernese</strong> <strong>GPS</strong> <strong>Software</strong> <strong>Version</strong> <strong>5.0</strong> Page 209

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