Cycle-slip detection and correction based on polynomial-fitting ionosphere-free combination and ionospheric total electron contents rate

Abstract

This paper develops a new cycle slip detection and repair method that is based on polynomial-fitting ionosphere-free combination and ionosphere total electron contents (TEC) rate (TECR), and uses dual-frequency GNSS data to present the mathematical model of the two method. It proves that the new algorithm can detect and repair the cycle slips with a very high level of success by the experiments with 1 Hz or even higher rate data, especially the method of TECR. In addition, the combination of the two methods can detect and repair their insensitive cycle slips effectively. Because the new method only use carrier phase, it can not only detect the cycle slips effectively, but also repair them reliably.