中文摘要：

提出了一种三角函数拟合外推探测单频接收机周跳的新方法，给出了三角函数拟合系数的求解公式、运用新方法探测周跳的步骤和周跳判定与量化公式，从拟合外推精度、数据窗口长度等方面比较了该方法与传统的多项式拟合外推方法的性能，并通过模拟加入周跳的探测试验进行了验证。结果表明：该方法可以准确地探测小至半周的周跳。

英文摘要：

This paper has proposed a trigonometric fitting and extrapolating method of detecting the single-frequency receiverrs cycle-slip and offered the coefficient formula of trigonometric fitting coefficient for the procedure of using the method to detect a cycle-slip and the quantification formula for it. The performances of the method are compared with those of the traditional polynomial fitting and extrapolating method in terms of the fitting and extrapolating accuracy and the length of the data window. Through a simulated cycle-slip experiment, the new method is proved to be capable of detecting a cycle-slip down to half cycle.