Cycle Slip Detection and Correction Methods with Time-Differenced Model for Single Frequency GNSS Applications

Cycle slips in Global Navigation Satellite System (GNSS) signal tracking are significant error sources for carrier phase based GNSS applications, therefore it is necessary to detect and correct them. In this paper, we propose cycle slip detection and correction methods with time-differenced carrier phase measurements for single frequency applications. A time-differential technique is applied to cancel the integer ambiguities, but any cycle slips remain in the time-differenced carrier phase measurements. Two kinds of statistical hypothesis tests using the residuals in the least squares adjustment are adopted to detect cycle slips. We have evaluated the performance of our proposed methods with real receiver data for different time intervals. Finally, we show the results of cycle slip detection and correction tests by using our proposed methods for real receiver data with artificially added cycle slips in static and kinematic cases. Performance evaluation results show that our proposed methods can detect and correct cycle slips efficiently in both static and kinematic cases within 20-second data gaps. These results show that our proposed methods are promising for single frequency applications to achieve accurate and reliable cycle slip detection and correction performance comparable to those for dual frequency applications.