Global positioning system: a methodology for modelling the pseudorange measurements

Details Global positioning system: a methodology for modelling the pseudorange measurements Global positioning system: a methodology for modelling the pseudorange measurements

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999adspr..23.1529b&link_type=abstract

Advances in Space Research, Volume 23, Issue 8, p. 1529-1532.

Physics

1

Scientific paper

A model for GPS measurements (pseudorange) based on time series statistic (ARIMA) is presented. The model is based on data collected by a Trimble differential GPS receiver over a period of 20 minutes, corresponding to more than 700 data points. The best fitting model, ARIMA(2,2,1), was obtained after testing different models. The final model shows a square law behavior and a residue with a Gaussian like shape with a mean close to zero, and standard deviation of 1.21 m. This result is confirmed by the Kolmogorov-Smirnov test at the significance level of 5%. The independence is tested finding the autocorrelation function, and it is shown that within the confidence interval the independence hypothesis is confirmed (Durbin-Watson test).

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