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We report on the first wide-field, high-precision astrometric analysis of the13 extragalactic radio sources of the complete S5 polar cap sample at 15.4 GHz.We describe new algorithms developed to enable the use of differenced phasedelays in wide-field astrometric observations and discuss the impact of usingdifferenced phase delays on the precision of the wide-field astrometricanalysis. From this global fit, we obtained estimates of the relative sourcepositions with precisions ranging from 14 to 200 $\mu$as at 15.4 GHz, dependingon the angular separation of the sources (from $\sim$1.6 to $\sim$20.8degrees). These precisions are $\sim$10 times higher than the achievableprecisions using the phase-reference mapping technique.

Absolute kinematics of radio source components in the complete S5 polar cap sample. III. First wide-field high-precision astrometry at 15.4 GHz