Wavelet Shrinkage: High frequency multipath reduction from GPS relative positioning

The wavelet transform is used to reduce the high frequency multipath of pseudorange and carrier phase GPS double differences (DDs). This transform decomposes the DD signal, thus separating the high frequencies due to multipath effects. After the decomposition, the wavelet shrinkage is performed by thresholding to eliminate the high frequency component. Then the signal can be reconstructed without the high frequency component. We show how to choose the best threshold. Although the high frequency multipath is not the main multipath error component, its correction provides improvements of about 30% in pseudorange average residuals and 24% in carrier phases. The results also show that the ambiguity solutions become more reliable after correcting the high frequency multipath.     

GPS多路径效应中的EEMD时空滤波器

根据结构动态监测中GPS多路径效应的日重复性和低频周期等特性,本文研究了一种基于集成经验模态分解(EEMD)技术的滤波方法,构造了EEMD时空滤波器。通过计算连续两天GPS动态监测数据EEMD的相关系数,提取GPS监测数据中的多路径效应。实验结果表明了该方法的有效性,为结构动态变形模态分析提供了有效数据。     

基于RTKLIB的低成本高精度GNSS静态测量系统

随着科学技术的发展,测量工具和测量手段也发生了变化,其中测量型GNSS呈现价格降低、体积缩小的趋势。目前市场上一整套商用GNSS测量系统的价格从几万到几十万不等,且由于地面基站和移动站体积大、携带不方便等原因,使得商用GNSS测量系统的使用人群仅限于部分专业测量人员,难以在大众市场普及。当今众多领域如无人机、机器制导、精密农业等对高精度定位需求的增加,又促使GNSS测量系统向低成本、高精度、小型化、轻型化发展。本文对U-BLOX的NEO-M8P低成本OEM型GNSS接收机进行50 km基线下的静态观测,基于RTKLIB的测试结果和精度分析表明,低成本GNSS测量系统能够达到厘米级定位精度,能够满足测量工作和GIS应用的需求。试验证明,使用此低成本测量系统能降低测量任务的经济成本,是测量级GNSS接收机中经济适用的选择。     

GPS rapid static and kinematic positioning based on GPS active network

This paper presents a data processing strategy for GPS kinematic Positioning by using a GPS active network to model the GPS errors in double difference observable.Firstly,the double difference residuals are estimated between the reference stations in the active network.Then the errors at a user station are predicted as the network corrctions to user measurements,based on the location of the user,Finally conventional kinematic positioning algorithms can be applied to determine the position of the user station.As an example,continuous 24-hour GPS data in March 2001 has been processed by this method.It clearly demonstrates that,after applying these corrections to a user within the network,both the success rate for ambiguity resolution and the positioning accuracy have been significantly improved.     

Sidereal filtering based on single differences for mitigating GPS multipath effects on short baselines

Carrier-phase multipath effects are one of the most significant error sources in precise Global Positioning System (GPS) positioning applications. A new sidereal filtering algorithm based on single differences is developed to mitigate multipath effects for short-baseline high-rate GPS applications such as structural deformation monitoring. This method differs from traditional sidereal filtering in that our method operates on the single differences rather than the coordinates or double differences. A multipath model for the single differences on the reference day is established for each satellite and is used to remove multipath errors from observations of subsequent days by taking advantage of the sidereal repeatability of multipath signals. Using both simulated and real GPS observations, we demonstrate that this method is insensitive to different weighting strategies used in computing single differences from double differences. Applying the proposed method can reduce the root mean square (RMS) of positioning noises by 82% on average. Compared to sidereal filtering (in either coordinate or double differences domain) and aspect repeat time adjustment, this method can further reduce the RMS values by 13 and 7%, respectively. Wavelet spectra have shown that the proposed method is more effective in mitigating multipath errors of both long and short periods. This method is also more advantageous in that it is applicable when different GPS satellites are observed on different days.     

Forward modeling of GPS multipath for near-surface reflectometry and positioning applications

Multipath is detrimental for both GPS positioning and timing applications. However, the benefits of GPS multipath for reflectometry have become increasingly clear for soil moisture, snow depth, and vegetation growth monitoring. Most multipath forward models focus on the code modulation, adopting arbitrary values for the reflection power, phase, and delay, or they calculate the reflection delay based on a given geometry and keep reflection power empirically defined. Here, a fully polarimetric forward model is presented, accounting for right- and left-handed circularly polarized components of the GPS broadcast signal and of the antenna and surface responses as well. Starting from the fundamental direct and reflected voltages, we have defined the interferometric and error voltages, which are of more interest in reflectometry and positioning applications. We examined the effect of varying coherence on signal-to-noise ratio, carrier phase, and code pseudorange observables. The main features of the forward model are subsequently illustrated as they relate to the broadcast signal, reflector height, random surface roughness, surface material, antenna pattern, and antenna orientation. We demonstrated how the antenna orientation—upright, tipped, or upside-down—involves a number of trade-offs regarding the neglect of the antenna gain pattern, the minimization of CDMA self-interference, and the maximization of the number of satellites visible. The forward model was also used to understand the multipath signature in GPS positioning applications. For example, we have shown how geodetic GPS antennas offer little impediment for the intake of near-grazing reflections off natural surfaces, in contrast to off metal, because of the lack of diversity with respect to the direct signal—small interferometric delay and Doppler, same sense of polarization, and similar direction of arrival.     

基于小波变换的单频GPS快速精密定位整周模糊度的解算

对于GPS短基线,载波相位双差观测量已基本消除了卫星轨道误差、钟差、大气折射误差等系统偏差的影响,主要包含距离观测量信息及随机测量误差,其中测量误差是高频的测量噪声,小波变换可将GPS载波相位双差观测量中的观测噪声(高频部分)分解出来。本文利用Coiflets小波基函数对GPS快速定位的原始载波相位双差观测量进行5层分解,通过重构第5层低频系数获得去除噪声的"干净"的载波相位双差观测量,然后利用"干净"的双差观测量进行最小二乘参数估计,以减小测量噪声对GPS快速定位病态方程解的扰动。计算结果表明该方法能够显著提高GPS快速定位中模糊度浮点解的精度,仅利用几个观测历元的数据就可以准确地固定模糊度。     

抗差自适应卡尔曼滤波在GPS精密单点定位中的应用

卡尔曼滤波是GPS精密单点定位中最常用的参数估计方法.理论上讲,随着观测数据的增多,通过卡尔曼滤波可以得到更精确的状态估值,但有时由于状态异常或发生大的周跳等原因,使得状态估值与实际状态之间的误差较大,滤波会发生发散现象,为此,本文提出了将抗差自适应滤波模型运用到精密单点定位中,通过算例分析显示,该方法将显著提高定位结...     

GPS导航中的抗差自适应Kalman滤波算法

GPS导航与定位的质量取决于对动态载体函数模型和随机模型的认知。本文首先基于机动载体的当前统计模型 ,设计了离散系统的Kalman滤波器 ,进而基于方差分量估计给出了一种适合GPS动态定位的抗差自适应卡尔曼滤波算法。该算法模型简单 ,实时性好。实测数据计算结果表明 ,滤波导航解能有效地控制观测异常和动态扰动异常对导航解的影响 ,使导航解更能反映导航目标的真实情况     

基于车载移动测量的GNSS定位方法

针对车载移动测量需要高频高精度的动态差分定位解算的问题,文中介绍利用GPS、北斗、GLONASS三个卫星导航系统进行载波相位动态差分的解算方法。首先利用双频观测值组成双差宽巷观测方程,利用M-W组合求出较高精度的宽巷模糊度浮点解,然后对宽巷模糊度进行搜索固定;接着对载波双差的基础模糊度进行搜索固定;最后将固定的模糊度代入载波相位双差观测方程,利用最小二乘求解测站坐标。文中使用该方法对车载GNSS实测数据进行解算,最终可得到厘米级别的定位结果。     

Stochastic assessment of GPS carrier phase measurements for precise static relative positioning

 Global positioning system (GPS) carrier phase measurements are used in all precise static relative positioning applications. The GPS carrier phase measurements are generally processed using the least-squares method, for which both functional and stochastic models need to be carefully defined. Whilst the functional model for precise GPS positioning is well documented in the literature, realistic stochastic modelling for the GPS carrier phase measurements is still both a controversial topic and a difficult task to accomplish in practice. The common practice of assuming that the raw GPS measurements are statistically independent in space and time, and have the same accuracy, is certainly not realistic. Any mis-specification in the stochastic model will inevitably lead to unreliable positioning results. A stochastic assessment procedure has been developed to take into account the heteroscedastic, space- and time-correlated error structure of the GPS measurements. Test results indicate that the reliability of the estimated positioning results is improved by applying the developed stochastic assessment procedure. In addition, the quality of ambiguity resolution can be more realistically evaluated. Received: 13 February 2001 / Accepted: 3 September 2001     

GPS多普勒伪距平滑定位与测速方法

针对卫星导航系统受移动载体所处特殊工作环境及状态的影响,导致载波相位观测值发生周跳并引起载波相位平滑伪距产生较大误差的问题,该文提出一种基于高精度且不受周跳影响的多普勒频移观测值对精度相对较低的伪距观测值进行平滑的方法;采用GPS多普勒频移进行伪距平滑,并计算移动载体的位置信息;通过结合求解的位置信息与多普勒频移进一步完成移动载体速度的求取。静、动态实验结果表明:该文提出的多普勒频移平滑伪距算法能够进一步提高载体的定位和测速精度。     

A new multipath mitigation method based on adaptive thresholding wavelet denoising and double reference shift strategy

Multipath disturbance is one of the major error sources in high-accuracy positioning for global navigation satellite system (GNSS). Although various methods based on software and hardware strategies have been developed to mitigate this error, they are still limited by different kinds of factors and the effect is not ideal. After analyzing the existing methods, a new single-difference sidereal filtering method, based on adaptive thresholding wavelet denoising and double reference shift strategy (ATDR), is proposed to mitigate multipath effects for static short-baseline GNSS applications. The key idea of the proposed method is the use of both the adaptive thresholding wavelet denoising to extract an accurate multipath correction model from the reference Day and the double reference shift strategy to mitigate multipath for subsequent Day 2 more accurately and efficiently. By applying the introduced adaptive thresholding method, the average improvement rate of the RMS values of the single-difference residuals can reach about 15.82% compared with the constant thresholding method. Moreover, after applying the proposed ATDR method, the 3D positioning precision is improved by about 37.73% for the single epoch mode with 30 s data sampling rate and about 31.22% for the continuous mode with 1 s high sampling rate compared with the original results. Even compared with the constant thresholding single orbital reference (CTSR) method, the improvement percentage is about 33.94% in single epoch mode and about 25.40% in continuous mode for 3D positioning precision, respectively. In conclusion, the results of the two experiments indicate that the proposed ATDR method performs much better than the CTSR method in mitigating multipath for different sampling rates and different processing modes in the measurement domain for GNSS static short-baseline postprocessing applications.     

基于小波系数分割的局部自适应阈值图像去噪

针对自适应小波阈值去噪中方形局部窗口不能很好地适应小波系数自身边缘特征的问题，本文提出了一种基于图像分割的局部自适应小波阈值去噪方法。该方法首先对图像进行多尺度小波分解，其次利用图像分割技术对图像的各尺度小波系数分别进行分割，分割技术选用SLIC超像素分割法得到具有相似统计特性的不规则局部块，然后对每个分割块内的小波系数进行BayesShrink阈值估计和软阈值收缩，最后通过小波逆变换得到去噪图像，并在3幅标准测试图像和一幅高光谱影像上进行试验。试验结果表明，本文提出的方法能更好地适应小波系数自身的边缘特征，不仅能够获得更好的视觉效果，而且能够达到较高水平的数值指标。     

一种基于双频GPS接收机的精确快速相对定位方法

利用GPS载波相位测量可以精确确定两个载体间的相对距离，其核心问题是整周模糊度的快速求解，通过双频数据可以提高模糊度求解的速度。在推导模糊度组合的一般公式的基础上，研究了一种基于双频GPS接收机模糊度快速求解算法。实验证明该方法正确有效。     

Adaptive wavelet transform based on cross-validation method and its application to GPS multipath mitigation

Global positioning system (GPS) multipath disturbance is a bottleneck problem that limits the accuracy of precise GPS positioning applications. A method based on the technique of cross-validation for automatically identifying wavelet signal layers is developed and used for separating noise from signals in data series, and applied to mitigate GPS multipath effects. Experiments with both simulated data series and real GPS observations show that the method is a powerful signal decomposer, which can successfully separate noise from signals as long as the noise level is lower than about half of the magnitude of the signals. A multipath correction model is derived based on the proposed method and the sidereal day-to-day repeating property of GPS multipath signals to remove multipath effects on GPS observations and to improve the quality of the GPS measurements.     

基于小波阈值的海洋磁力测量数据消噪方法

波浪噪声和随机噪声是影响海洋磁力测量数据处理精度的重要因素。基于小波变换理论,研究了海洋磁力测量数据中的波浪和随机噪声的消除方法。首先对带有噪声的实测磁异常数据进行频谱分析,确定相应的多分辨分析尺度。分别采用滑动拟合法、基于小波高频系数置零的消噪方法、基于小波阈值消噪方法进行消噪计算。实例计算表明:基于小波阈值消噪方法能够将磁异常中的噪声和真实的高频信息分离开来,进一步提高了消噪的精度和可靠性。     

基于GPS/INS姿态测量与定位的航空摄影测量精度分析

OEEPE于1999年启动了名为"集成传感器定向"的实验,研究"是否或在什么条件下GPS/INS直接测量的外方位元素可完全替代空中三角测量"这一焦点问题.对本次OEEPE实验的设立、数据获取与预处理以及"直接传感器定向"与"集成传感器定向"两个阶段的主要内容、输入数据与结果进行了全面系统的介绍,总结了该实验若干关键性的结论,以指导基于GPS/INS系统的航空摄影测量作业生产.