A new approach for cycle slip detection and fix using single GPS receiver’s single satellite dual frequency data containing arbitrarily large pseudorange errors

Abstract

This paper presents a new cycle slip detection and repair method using Total Electron Content Rate (TECR) information derived from individual satellite dual-frequency data of a single Global Positioning System (GPS) receiver while pseudorange measurements are subject to arbitrarily large range errors. Sudden Increase of Pseudorange Error (SIPE), similar to cycle slips in nature, is quite common in various data acquisition scenarios. The basic principle of this method is to take advantage of the fact that the ionospheric TECR does not exceed certain threshold, which is set as 0.35 TECU/s in this study. Analytic expressions to evaluate the effect of SIPE on cycle slip detections have been developed. The search spaces for cycle slip candidate pairs are defined, given a predefined (sufficiently large) SIPE value. Two cycle slip validation rules are proposed to validate the cycle slip candidates. Over 99.9% of candidates can be rejected with the application of two validation rules. The theoretically maximal number of remaining cycle slip candidate pairs (NRCP) can be exactly calculated based on the magnitude of SIPE, TECR threshold, and the data sampling interval. After applying validation rules, the correct cycle slip pairs can be identified using a modified low-order polynomial fitting method. This method is tested on 13 high rate (1-Hz) dual-frequency datasets recorded by both ground-based static and satellite-borne high dynamic GPS receivers under various levels of ionospheric activities. Simulated cycle slips in 12 different possible cases and varying SIPE magnitudes are introduced into the data sets. In each test scheme, averagely 600-750 pairs of cycle slips are simulated. The SIPE magnitudes are set to vary from 50.0 m to 1000.0 m. Test results show that all the cycle slips in all the test schemes and all the datasets have been successfully detected and fixed even with a maximum SIPE of 1000.0 m in pseudoranges. A distinct advantage of this method is that it works in real-time with individual satellite's data from a single dual-frequency receiver, even if the carrier phases have virtually any size of cycle slips and the pseudoranges have virtually arbitrarily large errors.

GNSS Cycle Slip Detection and Estimation Using LSTM-based Autoencoder Model. (Dept. C)

“…[21] developed a cycle slip detection based on comparison between geometric range and satellite navigation message position, through a moving average technique. A new cycle slip detection and repair method was proposed using Total Electron Content Rate (TECR) through Sudden Increase of Pseudorange Error (SIPE) methods [22].…”

Initial Study of Adaptive Threshold Cycle Slip Detection on BDS/GPS Kinematic Precise Point Positioning during Geomagnetic Storms

“…There are various cycleslip detection methods regarding non-differential combinatorial observables, including the high-order difference method, polynomial fitting method, Kalman filtering method, Melbourne Wubeena (MW) combinatorial observables method, geometric phase-free method, etc. [42][43][44]. Different methods have their advantages, disadvantages, and scope of application.…”

Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

“…For frequent cycle slips, unpredictable situations may arise. Therefore, many cycle slip detection and repair algorithms have been developed based on the first approach [7,8]. Commonly used cycle slip detection methods include the polynomial fitting method [9][10][11], TurboEdit method [12], Bayesian theory [13], and the combination method of pseudorange and carrier phase [14][15][16].…”