Improved TurboEdit Cycle Slip Detection and Repair Method Based on LM-BP Algorithm

The traditional TurboEdit method is not effective in dealing with continuous small cycle slips or specific small cycle slip pairs when utilized to detect and repair cycle slips in dual frequency data. In particular, the detected cycle slip pair cannot be directly separated. An improved TurboEdit cycle slip detection and repair method based on Levenberg Marquardt-Back Propagation (LM-BP) algorithm is proposed in this study. In the proposed method, LM-BP fitting algorithm is utilized to replace the polynomial fitting step in the traditional TurboEdit method, so as to improve the ability of detecting continuous small cycle slips. And it increases LM-BP detection sequence of single difference data to solve the detection failure problem of specific small cycle slip pairs and realize the direct separation of cycle slips. The verification results of measured Beidou Navigation Satellite System (BDS) data show that the improved TurboEdit algorithm based on LM-BP algorithm can detect continuous small cycle slips. And in the case of cycle slip pair with equal cycle slip, it can still effectively detect cycle slips, directly judge the epoch position of cycle slips, and realize the effective separation of cycle slip pair.