Small cycle-slip detection of single-frequency in BDS based on SVD

To accurately detect and position small cycle slip is critical for high-precision BeiDou Navigation Satellite System (BDS) data processing. Thus, a method based on singular value decomposition (SVD) was proposed in this paper for detecting single-frequency small cycle-slip. First of all, detectable quantity of cycle-slip was measured according to observations of pseudo-range and carrier-phase. Then, a track matrix of attractors was constructed with Hankel matrix and processed with SVD to determine the singular value that reflected abrupt information. At last, signal components were reconstructed by inverse operations and transformation of reflexive space through SVD to detect cycle-slip pursuant to the position of signals in case of the maximum value. The experimental results suggested that the method put forward in this paper was effective for precisely detecting small cycle-slip within one to five cycles based on observations of single-frequency carrier-phase.