中文摘要：

提出了独立周跳和非独立周跳的概念，给出了独立周跳在高阶差分时间序列中特征子序列，发现了非独立周跳的叠加性并给出了它在高阶差分中的特征子序列。提出以高阶差分为观测值，根据特征子序列建立观测方程，用最小二乘法探测和固定周跳的方法（探测周跳就是要判别特征子序列的位置）。对非差载波相位观测值的模拟试验表明这种方法能够精确地探测非独立周跳，而以往的高阶差分法往往无法准确探测非独立周跳。

英文摘要：

The concepts of independent and dependent cycle slips are presented, the characteristic sub-series related to independent cycle slips in high order differential series is given and the fact that dependent cycle slips is overlapped in high order differential is found, and its characteristic sub-series is also given. So we suggest a new method using which cycle slips can be detected and fixed. In this method high order differentials is considered as measurements, observation equation is built in term of characteristic sub-series, and Least-Squares adjustment is used. Detection of cycle slips is equivalent to locating characteristic sub-series. An example shows that this method can be used to detect dependent cycle slips which can not be detected using predecessor.