高精度时间频率传递技术是一个国家的基本技术支撑。量子频标的飞速发展对时间频率传递的精度提出了更高的要求，迫使人们研究精度更高的时频传递方法。GPS载波相位时间频率传递是人们研究最多的一种方法。由于GPS载波相位观测容易受到各种误差的影响，因此，在载波相位时频传递中为了提高时频传递精度，必须控制数据质量。然而，作为GPS载波相位时频传递数据处理的重要内容，周跳的探测与修复一直是个比较棘手的问题。虽然针对这一问题国内外有多种解决方法，但传统的周跳探测与修复方法都存在着各种各样的不足和缺陷。本文主要对传统的多项式拟合法采用历元间求差与抗差估计相结合的方法进行改进，利用抗差估计理论，将新的权函数应用到多项式系数拟合中。通过实际数据的验证，用抗差多项式拟合法探测并修复周跳，更加稳定可靠。

Precision time and frequency transfer technology is a basic technical support for one country. The rapid development of quantum frequency standards ask for a higher accuracy requirements for time and frequency transfer, forcing people to study higher precision time and frequency transfer methods. GPS carrier phase time and frequency transfer is the most studied methods. Since the GPS carrier phase measurements susceptible to various errors, we have to control the quality of the data in order to improve the accuracy of the carrier phase time and frequency transfer. But as an important part of the data processing for the GPS carrier phase time and frequency transfer, cycle slip detection and repair has always been a tricky issue. Although there are a variety of solutions to this problem in domestic and international, there is a variety of inadequate and defects about the traditional cycle slip detection and repair methods. This paper focuses on using a method for combining epoch difference with robust estimation to improve the traditional method of polynomial fitting, using the theory of robust estimation and applying a new weight function to the coefficients of polynomial fitting. Verified by the actual data, using robust polynomial fitting to detection and repair cycle slips is more stable and reliable.