模糊度直接求解算法用于GPS周跳的探测与修复

探测与修复周跳是GPS数据处理中的一个关键问题.针对CPS载波相位定位中出现的周跳问题,本文提出了一种新的周跳探测与修复的方法:首先组成双差相位观测方程,并根据观测文件中的近似坐标求得基线约束条件;随后利用基线约束条件直接求解各个历元的模糊度值,并依据历元间的模糊度变化来探测与修复周跳.通过编写应用程序和实例验证表明这...     

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。     

基于伪距相位组合实时探测与修复GNSS三频非差观测数据周跳

三频观测量能形成具有更长波长、更小噪声、更小电离层影响等优良特性的组合观测量,有利于提高周跳探测和修复的精度。本文推导了伪距相位组合探测周跳的阈值条件;提出了周跳确定成功率的概念;并从提高周跳确定成功概率出发,给出了伪距相位组合选取的标准和方法;最后利用一组实测GPS三频数据进行了验证。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,根据文中提出原则选取的最优伪距相位组合可实时探测和修复三频非差观测数据中的所有周跳。     

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。     

北斗三频消电离层组合周跳探测方法研究

为了实现在电离层活跃期对北斗三频观测值的周跳探测,在分析北斗三频观测值特性的基础上,推导并提出一种无几何无电离层组合周跳探测新方法,针对该方法存在不敏感周跳的问题,结合二次历元间差分的无几何相位组合法,对北斗三频观测数据进行周跳探测。并利用电离层高度活跃时期的观测数据对该方法进行验证,实验结果表明,该方法可以在强电离层影响下探测0~4周的小周跳,可考虑将其应用到北斗三频实时导航定位的周跳处理中。     

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。     

利用码相二次差分与Jarque-Bera检验进行实时周跳探测

对伪距与载波相位观测值进行二次差分构造周跳检验参数,并利用Jarque-Bera方法对历元窗口内的周跳参数进行正态分布检验,较好地实现了周跳的实时探测。利用实测GPS静态数据以及车载GPS动态数据进行了周跳探测算例分析,结果表明,此方法能够实时探测出周跳,并能有效修复周跳。     

基于单频星载GPS数据的周跳探测方法

在星载GPS测量中,载波相位观测数据的周跳探测是实现低轨卫星高精度定轨的关键,而传统的周跳探测方法受低轨卫星轨道特性的影响并不能很好地处理星载GPS数据。在总结传统周跳探测方法的基础上研究了一种利用最小二乘及假设检验的周跳探测方法,该方法采用历元间载波相位差分观测值构建观测方程,利用最小二乘求解并建立周跳检测量,根据假设检验探测周跳,适用于采样率较高条件下的单频星载GPS载波相位数据的周跳探测。以实测星载GPS数据周跳探测试验验证了该方法的有效性,试验结果表明,当可观测的GPS卫星数大于5颗时,该方法能够探测出1周左右的周跳,并确定发生周跳的卫星。     

北斗三频非差观测值的电离层周跳探测与修复

针对历元间隔较大或电离层延迟较大的情况,采用两个无几何相位组合与一个最优无几何无电离层组合形成3个线性无关的探测量,将历元间高次差法引用到无几何相位组合探测量中,通过选取合适的探测阈值,使无几何相位组合能够正确探测到较大电离层影响情况下的不敏感周跳。此外,文中采用了一种特殊的无几何无电离组合观测量进行辅助修复,通过两次取整保证了周跳修复的准确性,避免了传统三频周处理中的搜索算法造成错误修复的问题,试验表明,文中算法可以正确探测与修复较大电离层影响情况下不同北斗卫星星座类型的所有小周跳组合以及不敏感周跳组合。     

实时精密单点定位中周跳探测与修复的算法研究

提出了一种适用于实时GPS精密单点定位的周跳探测与修复的新算法。该算法步骤为：①利用M-W组合和电离层残差组合初步确定没有发生周跳和可能发生周跳的卫星;②利用当前历元与前一（或几个）历元的L1、L2和Lw观测值和第一步得出的没有发生周跳的卫星信息,采用基于历元间差分观测值的周跳处理模型对可能发生周跳的卫星进行周跳探测;③对第二步中周跳处理失败的卫星进行进一步的精化处理,以尽可能修复周跳。实验表明,新算法在实时GPS精密单点定位中可以准确地探测并修复周跳。     

GPS三频非差观测数据周跳的自动探测与改正研究

在GPS三频非差观测数据的处理中,由于伪距噪声的影响,利用原始的伪距和载波相位观测数据估计的模糊度误差比较大,不能用于探测和改正周跳。对原始观测数据进行平滑或适当的组合处理,可降低观测噪声的影响。因此,本文选择合适的经过平滑或组合处理后的观测数据作为探测周跳的检验量,探测并改正单个频点上的周跳。在分析了一般周跳的特点并在研究双频周跳自动探测与改正方法基础上,提出了选取检验量的四条基本原则。最后,依此原则选取了三个观测值组合作为周跳检验量,利用该组检验量实现三频非差观测数据周跳的自动探测与改正。     

多普勒积分辅助的动态单频周跳探测

相位伪距组合法常应用于动态单频周跳探测,但其探测周跳的效果受伪距噪声的影响较大。因此有必要结合其他的观测值,以降低伪距噪声的影响,从而提高单频周跳探测能力。提出了一种多普勒积分辅助的动态单频周跳探测方法,先采用多普勒观测值平滑伪距观测值,降低伪距的噪声,再进行历元间差分,显著提高了动态单频周跳探测的能力。实验分别采用不同采样率、高度角变化、连续周跳和含粗差的实时动态实测数据,分别在不同历元加入1周、3周、10周的模拟周跳,在相邻历元分别加入3周、4周和5周的连续周跳。结果表明,相较于相位伪距组合法与基于多项式拟合法的相位伪距组合法,该方法可以实时探测出所有的模拟周跳。多普勒积分辅助的动态单品周跳探测方法能够显著提升单频观测值的周跳探测能力。     

一种历元间差分单站单频周跳探测与修复方法

提出了一种基于历元间单差观测值的单站单频周跳探测与修复方法。通过假定前一历元为基准站,当前历元为流动站,采用相对定位处理模式获取当前历元观测值的验后单位权中误差,并基于抗差最小二乘获取每颗卫星的观测值残差,对单站单频数据进行周跳探测与修复。通过对实测数据的验证分析表明,按照本文方法可以100%探测周跳发生的历元。并且,当至少4颗卫星未发生周跳时,如发生异常卫星数小于可视卫星数的30%,则在95%以上的情况下可以有效确定异常卫星;当异常卫星过多时,本文方法确定异常卫星的成功率会有所下降。但是,对于探测出发生周跳的异常卫星,本文方法均可100%对其周跳进行修复。     

A new automated cycle slip detection and repair method for a single dual-frequency GPS receiver

This paper develops a new automated cycle slip detection and repair method that is based on only one single dual-frequency GPS receiver. This method jointly uses the ionospheric total electron contents (TEC) rate (TECR) and Melbourne–Wübbena wide lane (MWWL) linear combination to uniquely determine the cycle slip on both L1 and L2 frequencies. The cycle slips are inferred from the information of ionospheric physical TECR and MWWL ambiguity at the current epoch and that at the previous epoch. The principle of this method is that when there are cycle slips, the MWWL ambiguity will change and the ionospheric TECR will usually be significantly amplified, the part of artificial TECR (caused by cycle slips) being significantly larger than the normal physical TECR. The TECR is calculated based on the dual-frequency carrier phase measurements, and it is highly accurate. We calculate the ionospheric change information (including TECR and TEC acceleration) using the previous epochs (30 epochs in this study) and use the previous data to predict the TECR for the epoch needing cycle slip detection. If the discrepancy is larger than our defined threshold 0.15 TECU/s, cycle slips are regarded to exist at that epoch. The key rational of method is that during a short period (1.0 s in this study) the TECR of physical ionospheric phenomenon will not exceed the threshold. This new algorithm is tested with eight different datasets (including one spaceborne GPS dataset), and the results show that the method can detect and correctly repair almost any cycle slips even under very high level of ionospheric activities (with an average Kp index 7.6 on 31 March 2001). The only exception of a few detected but incorrectly repaired cycle slip is due to a sudden increased pseudorange error on a single satellite (PRN7) under very active ionosphere on 31 March 2001. This method requires dual-frequency carrier phase and pseudorange data from only one single GPS receiver. The other requirement is that the GPS data rate ideally is 1 Hz or higher in order to detect small cycle slips. It is suitable for many applications where one single receiver is used, e.g. real-time kinematic rover station and precise point positioning. An important feature of this method is that it performs cycle slip detection and repair on a satellite-by-satellite basis; thus, the cycle slip detection and repair for each satellite are completely independent and not affected by the data of other satellites.     

GPS/INS紧组合的INS辅助周跳探测与修复

建立了GPS/INS紧组合定位模型,改正惯性器件误差及电离层折射误差,对不同组合观测量的误差影响进行了分析,构造不同观测值组合,提出了基于惯性信息辅助的GPS周跳自适应探测方法,分析了INS定位误差对周跳探测的影响,给出了周跳探测误报率及修复成功率评价指标,提出了一种周跳检测阈值自适应确定方法。利用实测组合导航试验数据验证本文的算法,文中模拟了不同的单历元多周跳及信号失锁条件,结果表明,在GPS信号完全失锁20 s内,该方法能准确检测和修复所有周跳,中断时间的延长降低了周跳修复的成功率;GPS信号部分失锁时,在模拟的90 s中断时段内仍能修复所有周跳;模拟了170历元的5 s间隔密集周跳,周跳探测成功率为100%,正确修复率为99.41%。     

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 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.     

Adaptive Kalman filter based on variance component estimation for the prediction of ionospheric delay in aiding the cycle slip repair of GNSS triple-frequency signals

In order to incorporate the time smoothness of ionospheric delay to aid the cycle slip detection, an adaptive Kalman filter is developed based on variance component estimation. The correlations between measurements at neighboring epochs are fully considered in developing a filtering algorithm for colored measurement noise. Within this filtering framework, epoch-differenced ionospheric delays are predicted. Using this prediction, the potential cycle slips are repaired for triple-frequency signals of global navigation satellite systems. Cycle slips are repaired in a stepwise manner; i.e., for two extra wide lane combinations firstly and then for the third frequency. In the estimation for the third frequency, a stochastic model is followed in which the correlations between the ionospheric delay prediction errors and the errors in the epoch-differenced phase measurements are considered. The implementing details of the proposed method are tabulated. A real BeiDou Navigation Satellite System data set is used to check the performance of the proposed method. Most cycle slips, no matter trivial or nontrivial, can be estimated in float values with satisfactorily high accuracy and their integer values can hence be correctly obtained by simple rounding. To be more specific, all manually introduced nontrivial cycle slips are correctly repaired.     

A new triple-frequency cycle slip detecting algorithm validated with BDS data

Triple-frequency global navigation satellite systems allow the introduction of additional linear observation combinations. We define two geometry-free phase combinations and one geometry-free pseudorange minus phase linear combination to detect and correct cycle slip in real time. At first, the optimal BDS (BeiDou System) triple-frequency geometry-free phase combinations are selected for cycle slip detection. Then, a detailed analysis of the cycle slip detection is performed by examining whether some special cycle slip groups cannot be discovered by the selected combinations. Since there still remain some cycle slip groups undetectable by the two geometry-free phase combinations, we add a pseudorange minus phase linear combination which is linearly independent with these two phase combinations, to be sure that all the cycle slips can be detected. After that, an effective decorrelation search based on LAMBDA and least squares minimum principle is applied to calculate and determine the cycle slips. The method has been tested on triple-frequency undifferenced BDS data coming from a benign observation environment. Results show that the proposed method is able to detect and repair all the small cycle slips in the three carriers.