PCC-Explorer: An open-source software tool to assess the impact of GNSS antenna phase center corrections on geodetic parameters

Abstract Phase Center Corrections (PCC) are essential for precise GNSS positioning, yet differences between calibration sets ( $$\Delta $$ PCC) are often evaluated at the pattern level, which complicates an assessment of their practical relevance for estimated geodetic parameters. We present -Explorer, an open-source tool written in Python that standardizes the forward propagation of PCC and $$\Delta $$ PCC into the parameter domain without requiring GNSS observation data. The approach combines a linearized observation model in a topocentric frame (North, East, Up, receiver clock error, tropospheric part), an elevation-dependent stochastic model, and a second weighting matrix that reflects the local satellite distribution as a function of geographic location, time span, and sampling rate. A least-squares adjustment yields parameter deviations averaged over user-defined output intervals and supports multi-GNSS single frequencies and ionosphere-free linear combinations (IF-LC). Using $$\Delta $$ PCC between chamber and robot calibrations of a LEIAR25.R4 LEIT antenna, we show that daily parameter deviations are dominated by the Up component and the receiver clock error, while horizontal and tropospheric effects remain within ±1 mm. The impact varies mainly with latitude, reflecting the constellation geometry: for GPS IF-LC the Up component rises from $$\approx $$ 1–3.5 mm between $$\pm 55^\circ $$ and $$\approx $$ 14 mm near the poles. GLONASS impacts are smaller ( $$\approx $$ 0.5–4.5 mm) and show stronger longitudinal variability. Shorter parameter output intervals (e.g., 3 h) yields pronounced variability driven by changing satellite geometry. Over three years, the GPS mean 3D impact is 2.72 mm (range 7.35 mm), with periods consistent with sidereal repeats. Validation with differential PPP results at two EUREF Permanent Network (EPN) sites shows agreement at the sub-millimeter to millimeter level. The results underline that large pattern-level $$\Delta $$ PCC may map into the receiver clock or remain unsensed, motivating parameter-domain assessments. enables transparent, comparable studies across sites, intervals, and processing settings, and will be open source for the user community.

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Publication Details

Journal
GPS Solutions
Published
2026-03-14
DOI
https://doi.org/10.1007/s10291-026-02056-2
Primary Topic
GNSS positioning and interference
Type
article
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article

PCC-Explorer: An open-source software tool to assess the impact of GNSS antenna phase center corrections on geodetic parameters

Johannes Kröger, Steffen Schön, Tobias Kersten
GPS Solutions
GNSS positioning and interference
article

PCC-Explorer: An open-source software tool to assess the impact of GNSS antenna phase center corrections on geodetic parameters

Johannes Kröger, Steffen Schön, Tobias Kersten
article en

Abstract

Abstract Phase Center Corrections (PCC) are essential for precise GNSS positioning, yet differences between calibration sets ( $$\Delta $$ PCC) are often evaluated at the pattern level, which complicates an assessment of their practical relevance for estimated geodetic parameters. We present -Explorer, an open-source tool written in Python that standardizes the forward propagation of PCC and $$\Delta $$ PCC into the parameter domain without requiring GNSS observation data. The approach combines a linearized observation model in a topocentric frame (North, East, Up, receiver clock error, tropospheric part), an elevation-dependent stochastic model, and a second weighting matrix that reflects the local satellite distribution as a function of geographic location, time span, and sampling rate. A least-squares adjustment yields parameter deviations averaged over user-defined output intervals and supports multi-GNSS single frequencies and ionosphere-free linear combinations (IF-LC). Using $$\Delta $$ PCC between chamber and robot calibrations of a LEIAR25.R4 LEIT antenna, we show that daily parameter deviations are dominated by the Up component and the receiver clock error, while horizontal and tropospheric effects remain within ±1 mm. The impact varies mainly with latitude, reflecting the constellation geometry: for GPS IF-LC the Up component rises from $$\approx $$ 1–3.5 mm between $$\pm 55^\circ $$ and $$\approx $$ 14 mm near the poles. GLONASS impacts are smaller ( $$\approx $$ 0.5–4.5 mm) and show stronger longitudinal variability. Shorter parameter output intervals (e.g., 3 h) yields pronounced variability driven by changing satellite geometry. Over three years, the GPS mean 3D impact is 2.72 mm (range 7.35 mm), with periods consistent with sidereal repeats. Validation with differential PPP results at two EUREF Permanent Network (EPN) sites shows agreement at the sub-millimeter to millimeter level. The results underline that large pattern-level $$\Delta $$ PCC may map into the receiver clock or remain unsensed, motivating parameter-domain assessments. enables transparent, comparable studies across sites, intervals, and processing settings, and will be open source for the user community.

GPS SolutionsVol. 30(2)
Leibniz University Hannover (DE), Federal Agency for Cartography and Geodesy (DE), GeoInformation (United Kingdom) (GB)
Openalex Percentile: Top 21%
GNSS positioning and interference
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