GPS matavimo rezultatų apdorojimas diskretiniu Kalmano filtru su papildomais klaidų parametrais

Abstract

The theoretical analysis of the effect of GPS satellites efemerides errors to the results of the mathematical treatment of measurements by the use of Kalmann discrete filter is presented. There were employed the additional parameters of errors in the equation system of the corrections. By the use of formulae Frobenius the covariance matrix of adjusted principle parameters was obtained. By this way the formulae for the estimation of the influence of efemerides errors to the quality of the adjusted parameters was derived. It demonstrates that ignoring the efemeride errors creates the erroneous view on the accuracy of the calculated parameters. The recurrent methods on which the Kalmann filter is based could finally provide the anormal covariance matrix of the adjusted parameters. In this case one of optional variants for solving this problem method of the statistical “noises” could be used.