GPS cycle slip detection and correction based on high order difference and lagrange interpolation

Detection and correction of cycle slip is one of key problems of GPS carrier phase measurement in the GPS data processing. In this paper, it takes the carrier phase observation data of L1 as the research object on the platform of MATLAB making an advanced study for detection and correction of cycle slip. It brought forward a combinational algorithm that takes the high order time difference to detect and correct the large cycle slip which is more than two cycle slips and then makes the Lagrange interpolation correct the small cycle slip. It got a conclusion from the experiment that the combinational algorithm is very perfect, which could correct small cycle slip within the error of one cycle slip.