双频组合法探测与修复周跳的补充

基于双频单站的探测与修复周跳的方法,把伪距历元差与相位历元差组合作为约束条件,利用双频载波相位观测值组合的方法联合进行周跳探测与修复,并主要针对周跳在频率比附近变化时此方法无法探测的缺点,根据具体实例的分析、总结,采用预先插入周跳法进行补充探测,并对产生的周跳进行了有效修复。     

基于多历元递推最小二乘卡尔曼滤波方法的模糊度解算

针对GPS动态定位,通过使用递推最小二乘技术,提出基于递推最小二乘的仅含有模糊度参数的卡尔曼滤波方法,实现了利用多历元载波相位观测信息解算模糊度.同时针对多历元定位的特点,讨论了动态定位中的单频周跳探测与修复,并提出将卫星重新出现的情况按照周跳的处理方法,有效地提高了解算效果.     

小波技术在GPS基线解算数据预处理中的应用

采用小波技术对GPS观测数据进行处理。应用小波变换技术对GPS相位观测值进行周跳的探测和修复。GPS相位观测值可以作为时间序列来进行分析,作为时间函数,它所表现出来的是一条光滑度很好的曲线,一旦出现周跳,这种光滑性就被破坏,从发生周跳的历元开始,后继相位观测值序列发生等量阶跃,通过小波变换的信号特性检测原理,能够有效地探测出周跳的发生,这种方法对于缩小模糊度搜索空间及提高模糊度解的有效性有明显的作用,从而提高基线解算的精度。     

网络RTK流动站整周模糊度的单历元解算

传统网络RTK模糊度解算方法需要多个历元的观测数据,并且要进行周跳的探测和修复,影响模糊度解算的效率。本文提出一种单历元确定网络RTK双差整周模糊度的新方法。首先利用测码伪距观测值和载波相位观测值的单历元数据组成双差联合观测方程,采用改进LABMDA算法进行两步搜索确定GPS双差相位观测值的宽巷模糊度。确定宽巷模糊度后,再用宽巷模糊度值和载波相位观测值组成新的联合观测方程,大大改善了方程的状态,可以准确解算出GPS双差整周模糊度,显著提高了网络RTK整周模糊度固定的效率。     

相位求差法与多项式拟合法探测修复周跳的比较

目前对相位观测值周跳的探测和修复已有多种方法，但是各种方法都不是很完善。通过用相位观测值相邻历元求差法和多项式拟合法对周跳进行探测和修复，算例结果表明相位观测值相邻历元求差法不仅能准确地锁定发生小周跳的历元，而且能高效地修复观测值。该方法执行效率高，实用性强，尤其适合动态定位的应用。     

基于梯级递推的无模糊度GPS基线解算方法研究

通过考虑模糊度的整数特性及相位波长与基线非参考站坐标误差之间的约束条件,提出了一种基于梯级递推的无模糊度GPS基线解算方法。该方法不受周跳的影响,并且在基线求解过程中不用考虑模糊度参数。分别以单个历元和移动窗口的多历元两种求解方案验证了该方法的正确性和可行性,并且基线解算结果具有较高的精度。     

基于站际历元二次差模型探测与修复周跳的新方法

周跳探测与修复是高精度动态GPS定位的关键技术之一,直接影响模糊度在航解算的效率。针对动态相对定位中周跳探测方法“三差法”的不足,提出一种基于站际历元二次差模型进行探测与修复周跳的新方法。首先对站际历元间二次差观测值进行粗差探测,以确定发生周跳的卫星以及周跳初值;然后基于残差平方和最小原则搜索周跳备选组合并修复周跳。理论分析和实验结果均表明,当有效共视卫星多于4颗时,大多数情况下,新方法可以准确定位并修复周跳。     

北斗三频周跳探测方法研究

三频观测量能形成更多优良组合,有利于提高周跳探测和修复的成功率。针对目前北斗已经实现三频观测数据播发,为周跳探测与修复提供了新方法和新途径的现状,该文基于多频伪距相位组合法对北斗三频实测数据进行了数据预处理。结合北斗三频载波相位组合的特性,给出了组合观测量的选取标准,并且利用一组实测数据进行了验证。实验结果表明,在数据采样率较高、历元间电离层延迟变化可忽略时,根据该方法选取的最优伪距相位组合可探测和修复观测数据中的所有周跳。     

双频相位求差法与多普勒法探测与修复周跳的比较

介绍产生周跳和常用的探测与修复周跳方法,并通过用双频相位求差法和多普勒方法对周跳进行探测和修复,算例结果表明两种方法均能准确地锁定发生小周跳的历元,且能高效地修复观测值。两种方法执行效率高,实用性强,适合RTK等动态导航定位的应用。     

基于MW与STPIR组合的周跳探测与修复方法研究

针对载波相位观测值中出现周跳的问题,将TurboEdit算法中的LG组合进行二次历元间差分(STPIR),差分结果可以很好地消除电离层延迟的趋势项影响,而且差分后的组合观测值不受观测数据采样间隔的影响,从而有利于周跳的探测。同时,利用MW组合与STPIR组合实现了周跳的探测与修复。对静态和动态观测数据进行处理的结果表明,将MW与STPIR组合可以更准确地探测与修复周跳。     

A double-differenced cycle slip detection and repair method for GNSS CORS network

The difficulty to detect and repair cycle slip of carrier phase measurements is a key limit for continuously high accuracy of GNSS positioning and navigation services. We propose an automated cycle slip detection and repair method for data preprocessing of a CORS network. The method jointly uses double-differenced (DD) geometry-free (GF) combination and ionospheric-free observation corrected for the computed geometrical distance (IF-OMC) to estimate the cycle slips in dual-frequency observations. The DD GF combination, which is only affected by the ionospheric residual, can be used to detect cycle slips with high reliability except for special pairs such as (77, 60) on GPS L1/L2 frequencies. The detection principle of the IF-OMC observable is such that there is a large discontinuity related to the previous epoch when cycle slips occur at the present epoch. The disadvantages of these two combinations can be overcome employing the proposed detection method. The cycle slip pair (77, 60) has no effect on the GF combination, while a change of 14.65 m is derived from GPS L1/L2 observations using the IF-OMC algorithm. Using pre-determined station coordinates as precise values, we found that the accuracy of the DD IF-OMC combination was 18 mm for a 200-km CORS baseline. Therefore, cycle slips in dual-frequency observations can be correctly and uniquely determined using DD GF and IF-OMC equations. The proposed method was verified by adding simulated cycle slips in observations collected from the CORS network under a quiet ionosphere and shown to be effective. Moreover, the method was assessed with observations made during intense ionospheric activity, which generated extensive cycle slips. The results show that the algorithm can detect and repair all cycle slips apart from two exceptions relating to long data gaps.     

Cycle slip detection and repair for undifferenced GPS observations under high ionospheric activity

We develop a new approach for cycle slip detection and repair under high ionospheric activity using undifferenced dual-frequency GPS carrier phase observations. A forward and backward moving window averaging (FBMWA) algorithm and a second-order, time-difference phase ionospheric residual (STPIR) algorithm are integrated to jointly detect and repair cycle slips. The FBMWA algorithm is proposed to detect cycle slips from the widelane ambiguity of Melbourne–Wübbena linear combination observable. The FBMWA algorithm has the advantage of reducing the noise level of widelane ambiguities, even if the GPS data are observed under rapid ionospheric variations. Thus, the detection of slips of one cycle becomes possible. The STPIR algorithm can better remove the trend component of ionospheric variations compared to the normally used first-order, time-difference phase ionospheric residual method. The combination of STPIR and FBMWA algorithms can uniquely determine the cycle slips at both GPS L ₁ and L ₂ frequencies. The proposed approach has been tested using data collected under different levels of ionospheric activities with simulated cycle slips. The results indicate that this approach is effective even under active ionospheric conditions.     

GPS周跳探测及修复的小波变换法

利用小波分析方法对常用的GPS周跳检测量进行了周跳探测，获得了小波方法所能探测到的最小周跳值，并与高次差法进行了时比，提出了利用小波变换探测出周跳后如何直接进行周跳修复的方法。计算结果表明，该方法是可行的。     

GPS载波相位观测值中周跳探测与修复的研究

针对GPS载波相位定位中出现的周跳问题,提出一种新的周跳探测方法。基于非差相位观测值线性组合模式,以相位与伪距差法和电离层残差法相结合来探测与修复周跳。通过对同一组无周跳的数据采取人为加入周跳,比较两种周跳探测与修复方法的优缺点,以相位与伪距之差组合为辅助,检查大周跳,用电离层残差组合方法再对双频GPS数据进行进一步的周跳探测和修复。根据实例分析,验证该方法能够快速有效地探测并修复周跳,使双频载波相位法更具有实用性。     

不同采样率对GPS原始相位观测值周跳探测方法的影响及其效果比较

在GPS精密定位中，载波相位观测值周跳探测和修复的好坏程度将直接影响定位结果的精度，特别是实时动态定位（RTK）。当接收机采用不同采样率时，由于相位观测值所组成的序列函数收敛性将发生变化，各种周跳探测方法的能力也将发生改变。综述了几种常规的周跳探测方法，并对其特点与局限性进行了分析，然后对构造出的周跳检验量进行了比较，在此基础上通过大量算例探讨了在不同采样率下其探测周跳的能力和适用度，最后得出了一些有益的结论。     

Cycle slip detection and repair of undifferenced single-frequency GPS carrier phase observations

Cycle slip detection and repair is an important issue in the GPS data processing. Different methods have been developed to detect and repair cycle slips on undifferenced , single- or double-differenced observations. The issue is still crucial for high-precision GPS positioning, especially for the undifferenced GPS observations. A method is proposed to fix cycle slips based on the generalized likelihood ratio (GLR) test. The method has a good performance on cycle slip fixing of undifferenced carrier phase observations on individual frequencies, either on L1 or on L2, without making a linear combination among the observables. The functional model is a piecewise cubic curve fitted to a number of consecutive data using the least squares cubic spline approximation (LS-CSA). For fixing the cycle slips, an integer estimation technique is employed to determine the integer values from the float solution. The performance of the proposed method is then compared with the existing two methods using simulated data. The results on a few GPS data sets with sampling rate of 1 Hz or higher confirm that this method can detect and correct all simulated cycle slips regardless of the size of the cycle slip or the satellite elevation angle. The efficacy of the method is then investigated on the GPS data sets with lower sampling rates of 5, 10, and 30 s. The results indicate that the proposed method always performs the best for the data sets considered. This is thus an appropriate method for cycle slip detection and repair of single-frequency GPS observations.     

综合利用载波相位变化率和切比雪夫多项式探测与修复单频GPS周跳

提出一种单频GPS载波相位周跳探测、修复方法,采用载波相位变化率探测周跳,并记录周跳发生的开始时间和结束时间,进而利用切比雪夫多项式修复周跳。介绍了该算法的数学模型,给出了具体实施步骤,并用算例验证了算法的有效性与可靠性。     

中长基线周跳实时探测和修复的新方法

提出了一种适合网络RTK基准站间周跳实时探测和修复的新方法。该方法根据基准站坐标已知的特点,反求模糊度的浮点解来探测周跳并确定周跳的范围,最后结合电离层残差组合来修复周跳。该方法可以应用到当基准站没有精确已知的坐标时的静态实时周跳探测和修复中,通过理论分析和实际计算表明,该方法处理周跳的能力较强,具有实时探测和修复中长基线的失锁时间较长的周跳,且计算简单的特点。     

用低通滤波器探测和修复单频GPS载波相位的周跳

使用一种在时间序列分析中常用的异常值的检测方法双低通滤波器奇异值检定法来检测GPS载波相位观测值中的周跳，给出了数据窗的宽度Vmax以及门槛系数女，提出了利用低通滤波器进行周跳定值的迭代计算方法。试验表明，该方法计算简单，能够探测1周甚至0．5周的周跳。