An algorithm for detecting and estimating cycle slips in single-frequency GPS

An algorithm for detecting outliers and cycle slips in single-frequency GPS using a 3rd order polynomial model of the Kalman filter and for estimating the ambiguity by using optimal wavelet is presented in this paper. It is applicable to the carrier phase measurement with sample rate of one per second. The results of calculation with the GPS data aboard satellite Topex on 1995 June 22 show that the algorithm is so efficient that it can accurately estimate the ambiguity even for signals interrupted by a few seconds.