False Alarm and Missed Detection Controllable Validation Method for GNSS Integer Ambiguity Rounding Estimator

Reliability and efficiency of integer ambiguity resolution are of significance to GNSS high-precision positioning methods. Because incorrectly fixed ambiguities may introduce large positioning errors, integer ambiguity validation is an indispensable procedure, which can control quantity of the ambiguity resolution to ensure the reliability of positioning. However, the ‘seesaw’ effect between FA and MD cases cannot be effectively balanced by classical validation methods, which makes it difficult to satisfy the reliability and efficiency requirement of positioning, simultaneously. Therefore, a false alarm and missed detection (FA and MD) controllable validation method for GNSS integer ambiguity rounding estimator is proposed. A procedure is presented for satisfying required probability of the FA and MD and a corresponding look-up table of the critical threshold is given. The real-world BDS dual frequency data were collected to test the proposed method on the basis of geometry-free wide lane ambiguity resolution. The results show the proposed method can achieve the control of FA and MD errors according to user requirements.