GPS多普勒频移测量速度模型与误差分析

利用GPS多普勒频移观测量可以获得高精度的速度测量结果.文中先给出GPS载波相位观测方程,在此基础上,详细推导了GPS多普勒频移测量载体速度的数学模型.然后在相对测量模式下,讨论各种误差对速度的影响.     

几种GPS测速方法的比较分析

GPS高精度定位结果、原始多普勒频移观测量，以及由载波相位中心差分而获得的多普勒频移观测值，它们都可以用来获得高精度的速度测量结果。主要从测速精度方面，对这3种方法进行了比较，并作算例分析。     

利用GPS信号测定海拔高的多普勒消除技术

基于重力频移方程,可通过两个接收机接收GPS卫星信号确定频移观测量,由此可确定任意两点之间的重力位差,进而确定它们之间的高程差。在频移测量中,经典多普勒效应是最主要的干扰源。本文阐述了影响频移测量的各种误差源,特别研究了用于消除多普勒效应影响的一种方法,称为多普勒消除法,利用这种方法可以使频移测量的精度大幅度提高。     

航空重力测量中确定载体速度的静态试验

航空重力测量需要一定精度的导航信息，其中也包括载体的运动速度，用于计算厄特弗斯改正，本文作者参考文献[1][2]中的利用GPS多普勒频移观测值确定运动载体速度基本原理，自行研制了VAES（Velocity and Acceleration Esti-mation System)软件，用静态试验数据验证了理论的可靠性、软件的稳定性和该方法可以达到的精度。数据处理结果表明，载体水平速度的确定精度可达1-2cm/s，满足航空重力测量的精度要求。     

GPS卫星信号Doppler频移的计算与分析

在GPS导航定位系统中，多普勒频率偏移直接影响接收机性能。为了克服多普勒频率偏移的影响，提高接收机的GPS信号捕获速度，对多普勒频移估计算法进行研究。通过分析可视卫星的判定、Doppler频移计算方法，基于NewStar150GPS原理实验平台，使用C＋＋语言编程，开发Doppler频移计算程序。实验结果表明，Doppler频移的大小与a有关。当a〈90°时，多普勒频移为正，用户接收机收到的频率比卫星发射的频率要低。当a〉90°时，多普勒频移为负；当a=90°时，多普勒频移为0。     

一种基于多普勒频移的GPS自适应滤波算法研究

针对接收机的动态模型对GPS定位精度的影响,提出了一种基于多普勒频移观测的高动态GPS自适应滤波算法。该算法利用GPS伪距测量值以及利用信号载波的多普勒频移所获得的伪距率测量值,在GPS动态滤波中同时观测伪距和伪距率。借助于移动目标的运动矢量模型以及GPS定位误差模型建立了滤波方程。重点讨论了运用该模型进行Kalman滤波的实现过程。仿真实验表明,该模型与传统的方差自适应模型相比,位置精度提高了32%、速度精度提高了25%,应用本文算法能够提高定位精度和改善接收机的动态性能,拓宽高精度、高动态导航的应用范围。     

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。     

利用GPS伪距导出的多普勒频移测速

推导了利用伪距观测值获取多普勒频移的公式,并利用导出的多普勒频移来确定载体的速度。实测数据表明,利用伪距导出的多普勒频移测速,可以达到dm/s级的水平。在没有原始多普勒观测值或者相位观测出现了频繁周跳的情况下,可以利用伪距导出的多普勒频移获得载体概略的速度信息。     

利用GPS多普勒观测值精确确定运动载体的速度

讨论了利用GPS多普勒频移观测值确定运动载体速度的基本原理 ,估计了这一方法可以达到的精度。为验证该方法的可靠性及稳定性 ,做了两个试验 :静态试验和动态试验 ,试验中实测动态数据处理采用VAES软件。理论研究和数据处理结果均表明 ,在卫星分布较好的情况下 ,载体速度的确定精度可达mm/s。     

GPS天线转动测试系统的设计与应用

介绍了用于检测GPS接收机动态性能的天线转动测试系统,分析了天线圆周转,动引起的多普勒频移变化规律,提出了利用多普勒频移反推卫星仰角的基本方法,同时给出了利用该转动测试系统在检验GPS接收机动态测量精度和跟踪性能等方面的实际应用。     

Influence of clock jump on the velocity and acceleration estimation with a single GPS receiver based on carrier-phase-derived Doppler

Since the Selective Availability was turned off, the velocity and acceleration can be determined accurately with a single GPS receiver using raw Doppler measurements. The carrier-phase-derived Doppler measurements are normally used to determine velocity and acceleration when there is no direct output of the raw Doppler observations in GPS receivers. Due to GPS receiver clock drifts, however, a GPS receiver clock jump occurs when the GPS receiver clock resets itself (typically with 1 ms increment/decrement) to synchronize with the GPS time. The clock jump affects the corresponding relationship between measurements and their time tags, which results in non-equidistant measurement sampling in time or incorrect time tags. This in turn affects velocity and acceleration determined for a GPS receiver by the conventional method which needs equidistant carrier phases to construct the derived Doppler measurements. To overcome this problem, an improved method that takes into account, GPS receiver clock jumps are devised to generate non-equidistant-derived Doppler observations based on non-equidistant carrier phases. Test results for static and kinematic receivers, which are obtained by using the conventional method without reconstructing the equidistant continuous carrier phases, show that receiver velocity and acceleration suffered significantly from clock jumps. An airborne kinematic experiment shows that the greatest impact on velocity and acceleration reaches up to 0.2 m/s, 0.1 m/s² for the horizontal component and 0.5 m/s, 0.25 m/s² for the vertical component. Therefore, it can be demonstrated that velocity and acceleration measurements by using a standalone GPS receiver can be immune to the influence of GPS receiver clock jumps with the proposed method.     

GPS单点测速的误差分析及精度评价 (英文)

Error sources which decrease the accuracy of GPS in absolute velocity determination have been changed since SA was turned off. Firstly, quantities of all kinds of error sources that influence velocity determination are analyzed. The potential accuracy of GPS absolute velocity determination is derived from both theory and field GPS data simulation. After that, two tests were carried out to evaluate the performance of GPS absolute velocity determination in the case of a static and an airborne GPS receiver and INS （Inertial Navigation System） instrument in kinematic mode. In static mode, the receiver velocity has been estimated to be several mm/s with the carrier-phase derived Doppler measurements, and several cm/s with the receiver generated Doppler measurements. In kinematic mode, GPS absolute velocity estimates are compared with the synchronized measurements from the high accuracy INS. The root mean square statistics of the velocity discrepancies between GPS and INS come up to dm/s. Moreover, it has a strong correlation with the acceleration or jerk of the aircraft.     

Short Note: On the Relativistic Doppler Effect for Precise Velocity Determination using GPS

The Doppler effect is the apparent shift in frequency of an electromagnetic signal that is received by an observer moving relative to the source of the signal. The Doppler frequency shift relates directly to the relative speed between the receiver and the transmitter, and has thus been widely used in velocity determination. A GPS receiver-satellite pair is in the Earth’s gravity field and GPS signals travel at the speed of light, hence both Einstein’s special and general relativity theories apply. This paper establishes the relationship between a Doppler shift and a user’s ground velocity by taking both the special and general relativistic effects into consideration. A unified Doppler shift model is developed, which accommodates both the classical Doppler effect and the relativistic Doppler effect under special and general relativities. By identifying the relativistic correction terms in the model, a highly accurate GPS Doppler shift observation equation is presented. It is demonstrated that in the GPS “frequency” or “velocity” domain, the relativistic effect from satellite motion changes the receiver-satellite line-of-sight direction, and the measured Doppler shift has correction terms due to the relativistic effects of the receiver potential difference from the geoid, the orbit eccentricity, and the rotation of the Earth.     

Differentiation for High-Precision GPS Velocity and Acceleration Determination

Accurate estimates of the velocity and acceleration of a platform are often needed in high dynamic positioning, airborne gravimetry, and geophysics. In turn, differentiation of GPS signals is a crucial process for obtaining these estimates. It is important in the measurement domain where, for example, the phase measurements are used along with their instantaneous derivative (Doppler) to estimate position and velocity. It is also important in postprocessing, where acceleration is usually estimated by differentiating estimates of position and velocity. Various methods of differentiating a signal can have very different effects on the resulting derivative, and their suitability varies from situation to situation. These comments set the stage for the investigations in this article. The objective is twofold: (1) to carry out a comprehensive study of possible differentiation methods, characterizing each in the frequency domain; and (2) to use real data to demonstrate each of these methods in both of the measurement and position domains, in conditions of variable, high, or unknown dynamics. Examples are given using real GPS data in both the measurement domain and in the position and velocity domain. The appropriate differentiator is used in several cases of varying dynamics to derive a Doppler signal from carrier phase measurements (rather than using the raw Doppler generated by the receiver). In the statistic case, it is seen that the accuracy of velocity estimates can be improved from 4.0 mm/s to 0.7 mm/s by using the correct filter. In conditions of medium dynamics experienced in an airborne gravity survey, it is demonstrated that accelerations as the 2–4 mGal level (1 mGal = 0.00001 m/s²) can be obtained at the required filtering periods. Finally, a precision motion table is used to show that when using the correct filter, velocity estimates under high dynamics can be improved by an order of magnitude to 27.0 mm/s. ? 1999 John Wiley & Sons, Inc.     

GPS单点测速的误差分析及精度评价

首先从理论和实测数据模拟两方面分析了SA取消后各类误差源对GPS测速的影响,推导并计算了GPS单点测速可能达到的精度水平。然后用静态数据模拟动态测速试验和实测动态数据测速与同步高精度惯导测速的动态试验进行验证。结果表明,采用载波相位导出的多普勒观测值使用静态数据模拟动态测速,其精度可以达到mm/s级;用接收机输出的多普勒观测值进行测速时,其精度为cm/s级。在动态测速试验中,GPS单点测速方法（即多普勒观测值测速与导出多普勒观测值测速）间的符合精度达到cm/s级,与高精度的惯导测速结果的符合精度为dm/s级,而且和运动载体的动态条件（如加速度和加速度变化率的大小）具有很强的相关性。     

ADCP与GPS在内河流态测量中的应用问题及对策

ADCP全称为声学多普勒剖面流速仪(AcousticDopplerCurrentProfiler),是一种根据声学多普勒频移效应用矢量合成方法测量水流速度剖面的仪器,ADCP可测出水流流速矢量的东向、北向和垂向分量,为工程项目的河道数学模型和物理模型提供原始三维流态数据,为河势分析、河道冲淤计算、河道演变分析提供资料,由于天然河道水流特性及ADCP测流原理导致在测量中仍存在一些问题,如底沙运动、流速脉动、外界磁场影响等,因此探索ADCP与GPS的应用问题及对策来完成内河河道流态测量具有十分重要的意义。     

GPS多普勒观测值测速的精度分析

讨论了利用多普勒观测值进行单点测速的观测方程,分析了其误差来源和各误差源对测速精度的影响。用自编软件计算了静态和动态条件下GPS测速的精度,其中动态测速的参考速度采用GrafNav Version7．00软件计算得到,比较结果表明在静态和动态条件下测速精度都可以达到cm／s级