An algorithm of detecting and repairing one cycle wide lane integer ambiguity error for short baseline

Ambiguity Resolution (AR) is the key to the Global Positioning System (GPS) carrier phase positioning. Wide Lane (WL) wavelength is relatively larger. Hence, the WL integer ambiguity can be rounded using pseudo-range according to the integer bootstrapping model. However, the pseudo-range measurement error is larger than the Wide Lane (WL) wavelength in most GPS receivers. It may cause WL ambiguity resolution error. It severely influence the AR success rate. In this paper, an algorithm for detecting and repairing one cycle integer ambiguity error of WL is proposed. We propose the WL ambiguity error detector according to the integer characteristic of the ambiguity. We compare the detector with the threshold calculated by Carrier Noise Ratio (CNR) to judge whether the WL ambiguity is wrong. We fix the wrong ambiguities by the right ambiguities as the freedom degree of all the ambiguities is 3. We analyze the theoretical performance of the proposed algorithm. We simulate the feasibility of the proposed algorithm in Gaussian noise environment. It shows normal CNR carrier phase measurement has the ability to tell one cycle WL ambiguity error. We calculate the maximum tolerance of the carrier phase error in case multipath and other measurement error exist. We also simulate the probability of one cycle WL ambiguity error with different pseudo-range measurement error. Field tests were carried out using GPS short baseline data. The AR success rate with WL bootstrapping model is increased from 34.92% to 99.04% using the proposed algorithm.