基于Grubbs准则和区间搜索的双频GPS周跳探测

GPS周跳是影响监测成果精度的重要因素之一，其多值性及如何判断各自频率上的周跳尤为重要。本文针对双频周跳探测，以ΔΦ=ΔN₁－(λ₂/λ₁)ΔN₂为主方程，提出一种通过Grubbs准则探测ΔN₁、ΔN₂异常值的方法来约束双频周跳ΔN₁、ΔN₂的搜索范围，通过计算满足主方程整数解的方式探测周跳。通过采样率为1 s、5 s和15 s的GPS数据进行验证，结果表明，采用本文方法不仅可以解决普通周跳和特殊周跳的多值问题，而且能准确探测各频率上的周跳，计算准确率达100%。

Dual-Frequency GPS Cycle Slip Detection Based on Grubbs Criteria and Interval Search

GPS cycle slip is one of the important factors affecting the accuracy of monitoring results.Its multi-value and the method of judging the cycle slip of each frequency are particularly important.In this paper,for the detection of dual-frequency cycle slip,we useΔΦ=ΔN 1-(λ2/λ1)ΔN 2 as the master equation and propose a method to detect the cycle slip using the Grubbs criterion,restricting theΔN 1、ΔN 2 search range of dual-frequency cycle slip to calculate the integer solution satisfying the master equation.Through the verification of GPS data with a sampling rate of 1 s,5 s and 15 s,the method in this paper not only solves the problem of multiple values,but also accurately detects the cycle slip at all frequencies with a success rate of 100%.