Double difference carrier phase observations have good smoothness, because they eliminate the common errors. After differencing between adjacent epochs in double difference observation sequences, cycle slips act as gross errors. When using Chebyshev polynomial for fitting double difference observations, taking into account of the thoughts of robust estimation, the order of Chebyshev polynomial fitting and the length of fitting arc, cycle slips detection and correction for single-frequency GPS data based on sliding window of Chebyshev polynomial fitting of robust estimation was proposed. Ll-frequency carrier phase data with sampling interval of 60 seconds and 15 seconds were applied for the test. Test results show that this algorithm can effectively detect multi-epoch cycle slips and continuous cycle slips, and cycle slips can be accurately repaired.%由于载波相位的双差观测量消除了公共误差而具有较好的平滑性,并且在双差观测序列进行相邻历元间求差后,周跳能真实地以粗差形式反映出来,在利用Chebyshev多项式拟合双差观测量时,顾及抗差估计的思想、Chebyshev多项式拟合阶数、拟合弧段长度,提出基于移动窗口的抗差Chebyshev多项式拟合算法来探测与修复周跳,分别应用采样间隔为60s和15 s的L1频率的载波相位数据测试表明:该算法可有效探测多历元间隔周跳及连续周跳,并能对周跳进行准确的修复.
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