The reduction of computation load in SBAS system during the polynomial approximation of observations

Abstract

Abstract Processing of the observations from GNSS augmentation system on an example of SBAS system is considered in the study. To compute the corrections the SBAS control center collects and processes enormous amount of data, some of the applied matrix algorithms of estimation of the polynomial coefficients are computationally expensive. Instead of the estimation of the polynomial coefficients with the matrix operations the representation of polynomial value by means of a linear combination of previous observations is suggested in the study. Significant advantage in terms of computation time (up to 250 times) for cycle-slip detection procedure is demonstrated for presented method which is important for aviation because of strict integrity requirements in avia-space sector.