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Modeling the North American vertical datum of 1988 errors in the conterminous United States 模拟1988年北美垂直基准面在邻近美国的误差
IF 1.3 Q4 REMOTE SENSING Pub Date : 2018-01-01 DOI: 10.1515/jogs-2018-0001
X. Li
Abstract A large systematic difference (ranging from −20 cm to +130 cm) was found between NAVD 88 (North AmericanVertical Datum of 1988) and the pure gravimetric geoid models. This difference not only makes it very difficult to augment the local geoid model by directly using the vast NAVD 88 network with state-of-the-art technologies recently developed in geodesy, but also limits the ability of researchers to effectively demonstrate the geoid model improvements on the NAVD 88 network. Here, both conventional regression analyses based on various predefined basis functions such as polynomials, B-splines, and Legendre functions and the Latent Variable Analysis (LVA) such as the Factor Analysis (FA) are used to analyze the systematic difference. Besides giving a mathematical model, the regression results do not reveal a great deal about the physical reasons that caused the large differences in NAVD 88, which may be of interest to various researchers. Furthermore, there is still a significant amount of no-Gaussian signals left in the residuals of the conventional regression models. On the other side, the FA method not only provides a better not of the data, but also offers possible explanations of the error sources. Without requiring extra hypothesis tests on the model coefficients, the results from FA are more efficient in terms of capturing the systematic difference. Furthermore, without using a covariance model, a novel interpolating method based on the relationship between the loading matrix and the factor scores is developed for predictive purposes. The prediction error analysis shows that about 3-7 cm precision is expected in NAVD 88 after removing the systematic difference.
NAVD 88 (North AmericanVertical Datum of 1988)与纯重力大地水准面模型存在较大的系统差异(- 20 ~ +130 cm)。这种差异不仅使得直接使用庞大的NAVD 88网络与最新的大地测量学技术来增强局部大地水准面模型非常困难,而且也限制了研究人员在NAVD 88网络上有效展示大地水准面模型改进的能力。在这里,基于各种预定义基函数(如多项式、b样条和勒让德函数)的传统回归分析和潜在变量分析(LVA)(如因子分析(FA))都被用于分析系统差异。除了给出一个数学模型外,回归结果并没有揭示导致NAVD 88差异巨大的物理原因,这可能会引起各种研究人员的兴趣。此外,在传统回归模型的残差中仍然存在大量的非高斯信号。另一方面,FA方法不仅提供了更好的数据,而且还提供了对误差来源的可能解释。在不需要对模型系数进行额外的假设检验的情况下,FA的结果在捕获系统差异方面更有效。此外,在不使用协方差模型的情况下,提出了一种基于负荷矩阵与因子得分之间关系的预测插值方法。预测误差分析表明,去除系统差异后,NAVD 88的预测精度约为3 ~ 7cm。
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引用次数: 8
Performance of GPS sidereal filters during a satellite outage 卫星停运期间GPS恒星滤波器的性能
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-11-27 DOI: 10.1515/jogs-2017-0015
C. Atkins, M. Ziebart
Abstract Sidereal filtering is the name of a technique used to reduce the effect of multipath interference on a GPS position time series associated with a static or quasi-static antenna. This article assesses the impact of a GPS satellite outage on the performance of a sidereal filter. Two different types of sidereal filter are tested: a position-domain sidereal filter (PDSF) and an observation-domain sidereal filter (ODSF). A satellite outage is simulated at two static receivers with contrasting antenna types and multipath environments. At both stations, the ODSF is more effective than a PDSF at removing multipath error over averaging intervals under around 200 seconds in length whether there is an outage or not. However, difference in the performance of the two types of sidereal filter was much more significant at the station more prone to multipath interference. The results are particularly relevant for applications where high-rate precise point positioning (PPP) is used for monitoring: If a PDSF is applied, then errors due to highfrequency multipath interference may still alias into the resulting position time series if a satellite outage occurs and possibly increasing the false alarm rate. In contrast, an ODSF is likely to perform better in such circumstances.
恒星滤波是一种用于减少与静态或准静态天线相关的GPS位置时间序列的多径干扰影响的技术。本文评估了GPS卫星中断对恒星滤波器性能的影响。测试了两种不同类型的恒星滤波器:位置域恒星滤波器(PDSF)和观测域恒星滤波器(ODSF)。在两个具有不同天线类型和多径环境的静态接收器上模拟卫星中断。在这两个站点,无论是否发生中断,ODSF都比PDSF更有效地消除了平均时间间隔在200秒以内的多径错误。然而,两种类型的恒星滤波器的性能差异更为显著,站更容易受到多径干扰。该结果与使用高速率精确点定位(PPP)进行监测的应用特别相关:如果应用PDSF,则如果发生卫星中断,则高频多径干扰引起的误差仍可能混叠到结果位置时间序列中,并可能增加误报率。相反,ODSF在这种情况下可能会表现得更好。
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引用次数: 3
Satellite dependency of GNSS phase biases between receivers and between signals 接收机之间和信号之间GNSS相位偏差的卫星依赖性
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-11-27 DOI: 10.1515/jogs-2017-0014
M. Håkansson
Abstract The existence of hardware induced phase biases might influence the accuracy in precise positioning if not handled properly. This is extra problematic if the biases are dependent on the satellite tracked, as these biases no longer will be common between the satellites, and thus will not be absorbed by the receiver clock term of the positioning solution. In this paper, we carried out two studies to investigate whether there exists a satellite dependency of the relative phase biases. Even though small in size, satellite dependent variations were found in both cases. In the first case, relative receiver phase biases were studied, while relative phase biases between signals (e.g. between carrier phases from C/A-code and P-code tracking) were investigated in the second case. The biases in the first case had a size of 0.8 mm between the satellites with the largest and smallest values, and additionally showed temporal variations that were consistent over time. The corresponding sizes of the biases second case were 2 mm and 3.5 mm for GPS L1 and L2 respectively, and no temporal variations were found.
硬件相位偏差的存在,如果处理不当,会影响精密定位的精度。如果偏差依赖于所跟踪的卫星,这是一个额外的问题,因为这些偏差在卫星之间不再是共同的,因此不会被定位解决方案的接收器时钟项吸收。在本文中,我们进行了两项研究来探讨相对相位偏差是否存在卫星依赖性。尽管尺寸很小,但在这两种情况下都发现了与卫星相关的变化。在第一种情况下,研究了相对接收器相位偏差,而在第二种情况下,研究了信号之间的相对相位偏差(例如C/ a码和p码跟踪的载波相位之间的相位偏差)。在第一种情况下,最大和最小值卫星之间的偏差大小为0.8毫米,并且还显示出随时间一致的时间变化。第二种情况下,GPS L1和L2对应的偏差大小分别为2 mm和3.5 mm,没有时间变化。
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引用次数: 4
Fully populated VCM or the hidden parameter 完全填充的VCM或隐藏参数
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-11-27 DOI: 10.1515/jogs-2017-0016
G. Kermarrec, S. Schön
Abstract Least-squares estimates are trustworthy with minimal variance if the correct stochastic model is used. Due to computational burden, diagonal models that neglect correlations are preferred to describe the elevation dependency of the variance of GPS observations. In this contribution, an improved stochastic model based on a parametric function to take correlations between GPS phase observations into account is presented. Built on an adapted and flexible Mátern function accounting for spatiotemporal variabilities, its parameters can be fixed thanks to Maximum Likelihood Estimation or chosen apriori to model turbulent tropospheric refractivity fluctuations. In this contribution, we will show in which cases and under which conditions corresponding fully populated variance covariance matrices (VCM) replace the estimation of a tropospheric parameter. For this equivalence “augmented functional versus augmented stochastic model” to hold, the VCM should be made sufficiently largewhich corresponds to computing small batches of observations. A case study with observations from a medium baseline of 80 km divided into batches of 600 s shows improvement of up to 100 mm for the 3Drms when fully populated VCM are used compared with an elevation dependent diagonal model. It confirms the strong potential of such matrices to improve the least-squares solution, particularly when ambiguities are let float.
如果使用正确的随机模型,最小二乘估计具有最小方差。由于计算量大,忽略相关性的对角线模型更适合用于描述GPS观测值方差的仰角依赖性。本文提出了一种改进的基于参数函数的随机模型,以考虑GPS相位观测之间的相关性。建立在一个适应和灵活的Mátern函数上,考虑时空变化,它的参数可以固定,这要感谢最大似然估计或选择先验来模拟对流层湍流折射率波动。在这篇文章中,我们将展示在哪些情况下和在哪些条件下,相应的完全填充方差协方差矩阵(VCM)取代对流层参数的估计。为了使这种等价的“增广函数与增广随机模型”保持不变,VCM应该足够大,这对应于计算小批量的观测值。一个案例研究显示,与仰角依赖的对角线模型相比,当使用完全填充的VCM时,在80公里的中等基线上分成600个批次进行观测,3Drms的改进幅度可达100毫米。它证实了这种矩阵在改进最小二乘解方面的强大潜力,特别是当模棱两可被允许浮动时。
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引用次数: 5
A weighted adjustment of a similarity transformation between two point sets containing errors 包含误差的两个点集之间的相似变换的加权调整
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-10-26 DOI: 10.1515/jogs-2017-0012
C. Marx
Abstract For an adjustment of a similarity transformation, it is often appropriate to consider that both the source and the target coordinates of the transformation are affected by errors. For the least squares adjustment of this problem, a direct solution is possible in the cases of specific-weighing schemas of the coordinates. Such a problem is considered in the present contribution and a direct solution is generally derived for the m-dimensional space. The applied weighing schema allows (fully populated) point-wise weight matrices for the source and target coordinates, both weight matrices have to be proportional to each other. Additionally, the solutions of two borderline cases of this weighting schema are derived, which only consider errors in the source or target coordinates. The investigated solution of the rotation matrix of the adjustment is independent of the scaling between the weight matrices of the source and the target coordinates. The mentioned borderline cases, therefore, have the same solution of the rotation matrix. The direct solution method is successfully tested on an example of a 3D similarity transformation using a comparison with an iterative solution based on the Gauß-Helmert model.
摘要对于相似变换的调整,通常考虑变换的源坐标和目标坐标都受到误差的影响。对于该问题的最小二乘调整,在坐标的特定加权模式的情况下可以直接解决。本文考虑了这样一个问题,一般推导出m维空间的直接解。应用的加权模式允许(完全填充)源坐标和目标坐标的逐点权重矩阵,两个权重矩阵必须彼此成比例。此外,还推导了该加权模式的两种边界情况的解,这两种情况只考虑源坐标或目标坐标的误差。所研究的平差旋转矩阵的解与源坐标和目标坐标的权值矩阵之间的比例无关。因此,上述边界情况具有相同的旋转矩阵解。通过与基于Gauß-Helmert模型的迭代解的比较,成功地对直接解法进行了三维相似变换实例的验证。
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引用次数: 8
Numerical Simulation of Crustal Strain in Turkey from Continuous GNSS Measurements in the Interval 2009–2017 2009-2017年连续GNSS测量对土耳其地壳应变的数值模拟
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-10-26 DOI: 10.1515/jogs-2017-0013
K. Ansari, O. Corumluoglu, S. Sharma
Abstract The present study investigates the crustal strain in Turkey by using data from the Turkish permanent GNSS network (TPGN) and international GNSS services (IGS) observations for a period of 9 years, 2009 t0 2017. The positional variation of GNSS sites is studied to understand the coordinate reliability, interseismic and coseismic effects and linear velocities as well as three dimensional principal strains across the country. The study of coordinate reliability shows that the horizontal and vertical residuals in 2013 and 2015 are of the order of 100 mm per coordinate or higher than those of 2009 and 2011 and 10 times higher than those of 2017. The changes in baseline length relative to an arbitrary zero-o_set for the selected period shows that the most of the sites have displacement in the interval −10 to 10 mm but some sites have larger variations. These displacements are mostly related to motion of the Turkish tectonic plate, regional crustal deformation and small amounts of errors inGNSS positioning. The most GNSS site velocities located all over Turkey give significant information for the study. The GNSS data shows that the Anatolian plate relative to the Eurasia is moving in a western direction in the central part of Turkey and starts to move in a south-westerly direction in the west part of the country. The westward motion of Anatolia increases gradually from 20 mm/yr in central Anatolia to 30 mm/yr in south-west Turkey. The numerical simulation of the crustal strain in the Aegean region shows a maximum 1.0446×10−6 compressional principal strain rate while the second principal strain rate is zero. The strain in Central Anatolia is evidently dominated by extensional deformations and the principal strain rate reaches to 0.9589×10−6 with maximum extension. The Marmara Region network is subject to an extensional principal strain (0.6608×10−6) which is also revealed in the Mediterranean Region with a 0.5682×10−6 extension. The present analysis of GNSS data over the region may complement towards the understanding of the stability of regional tectonics and long term aseismic strain inside the country.
摘要利用土耳其永久GNSS网络(TPGN)和国际GNSS服务(IGS) 2009 - 2017年9年的观测数据,对土耳其的地壳应变进行了研究。研究GNSS站点的位置变化,了解全国的坐标可靠度、震间和同震效应、线速度和三维主应变。坐标信度研究表明,2013年和2015年的水平和垂直残差比2009年和2011年的水平和垂直残差在每个坐标100 mm以上,比2017年的水平和垂直残差高10倍。基线长度相对于任意0 -o_set的变化表明,大多数站点在−10至10 mm之间有位移,但有些站点的变化更大。这些位移主要与土耳其构造板块运动、区域地壳变形以及nss定位的少量误差有关。位于土耳其各地的大多数GNSS站点速度为研究提供了重要信息。GNSS数据显示,相对于欧亚大陆的安纳托利亚板块在土耳其中部向西移动,在土耳其西部开始向西南移动。安纳托利亚向西运动从安纳托利亚中部的20 mm/yr逐渐增加到土耳其西南部的30 mm/yr。对爱琴海地区地壳应变的数值模拟表明,压缩主应变率1.0446×10−6最大,次主应变率为零。中安纳托利亚地区的应变明显以伸展变形为主,主应变率达到0.9589×10−6,伸展变形最大。马尔马拉地区网络受张拉主应变(0.6608×10−6)影响,地中海地区也有张拉主应变(0.5682×10−6)。目前对该地区GNSS数据的分析可能有助于了解该地区构造的稳定性和该国境内的长期地震应变。
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引用次数: 14
Post-flight trajectory reconstruction of suborbital free-flyers using GPS raw data 利用GPS原始数据重建亚轨道自由飞行者的飞行后轨迹
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-08-28 DOI: 10.1515/jogs-2017-0011
N. Ivchenko, Y. Yuan, E. Lindén
Abstract This paper describes the reconstruction of postflight trajectories of suborbital free flying units by using logged GPS raw data. We took the reconstruction as a global least squares optimization problem, using both the pseudo-range and Doppler observables, and solved it by using the trust-region-reflective algorithm, which enabled navigational solutions of high accuracy. The code tracking was implemented with a large number of correlators and least squares curve fitting, in order to improve the precision of the code start times, while a more conventional phased lock loop was used for Doppler tracking. We proposed a weighting scheme to account for fast signal strength variation due to free-flier fast rotation, and a penalty for jerk to achieve a smooth solution. We applied these methods to flight data of two suborbital free flying units launched on REXUS 12 sounding rocket, reconstructing the trajectory, receiver clock error and wind up rates. The trajectory exhibits a parabola with the apogee around 80 km, and the velocity profile shows the details of payloadwobbling. The wind up rates obtained match the measurements from onboard angular rate sensors.
摘要本文介绍了利用GPS原始数据重建亚轨道自由飞行单元的飞行后轨迹。我们将重建作为一个同时使用伪距离和多普勒观测值的全局最小二乘优化问题,并采用信任区域反射算法进行求解,从而实现了高精度的导航解。为了提高码启动时间的精度,采用了大量相关器和最小二乘曲线拟合来实现码跟踪,而多普勒跟踪则采用了更为传统的锁相环。我们提出了一种加权方案来考虑由于自由飞体快速旋转而导致的快速信号强度变化,并提出了对抽搐的惩罚以实现平滑解决方案。将这些方法应用于REXUS 12探空火箭发射的两个亚轨道自由飞行单元的飞行数据,重建了轨道、接收机时钟误差和上弦率。轨道呈抛物线,远地点在80公里左右,速度剖面显示了有效载荷摆动的细节。所获得的上风速率与机载角速率传感器的测量值相匹配。
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引用次数: 1
Hydrographic survey of a south Florida canal using a hydrolite 用水蛭对南佛罗里达运河进行水文测量
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-02-23 DOI: 10.1515/jogs-2017-0009
M. Berber, W. Wright
Abstract In this study, a hydrographic map of a South Florida canal is prepared using RTK GPS (Real Time Kinematic Global Positioning System) measurements combined with a hydrolite (single beam echo sounder). RTK GPS measurements are made using both single RTK and Network RTK systems. Digital sounding measurements taken by hydrolite are compared to manual lead line measurements. Single RTK and Network RTK results differed in the order of tenth of a foot accuracy for horizontal coordinates and for height measurements variations can go up to several tenths. Sounding results indicate a best-fit trend line with a slope of 0.993, and an R squared value of 0.972, demonstrating that hydrolite measurements and manually collected depths at this site are well correlated.
在本研究中,利用RTK GPS(实时动态全球定位系统)测量与单波束回声测深仪相结合,绘制了南佛罗里达运河的水文地图。RTK GPS测量使用单个RTK和网络RTK系统进行。将水合岩数字测深与人工引线测量进行了比较。单一RTK和网络RTK结果在水平坐标精度的十分之一英尺和高度测量的变化可以达到十分之一英尺。测深结果显示,最佳拟合趋势线斜率为0.993,R平方值为0.972,表明该测深与人工采集深度具有较好的相关性。
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引用次数: 2
Inferring regional vertical crustal velocities from averaged relative sea level trends: A proof of concept 从平均相对海平面趋势推断区域垂直地壳速度:概念的证明
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-02-23 DOI: 10.1515/jogs-2017-0007
H. Iz, C. Shum, C. Zhang, C. Kuo
Abstract This study demonstrates that relative sea level trends calculated from long-term tide gauge records can be used to estimate relative vertical crustal velocities in a region with high accuracy. A comparison of the weighted averages of the relative sea level trends estimated at six tide gauge stations in two clusters along the Eastern coast of United States, in Florida and in Maryland, reveals a statistically significant regional vertical crustal motion of Maryland with respect to Florida with a subsidence rate of −1.15±0.15 mm/yr identified predominantly due to the ongoing glacial isostatic adjustment process. The estimate is a consilience value to validate vertical crustal velocities calculated from GPS time series as well as towards constraining predictive GIA models in these regions.
摘要本研究表明,利用长期验潮记录计算出的相对海平面趋势可以较准确地估算出某一地区的地壳相对垂直速度。通过比较美国东海岸佛罗里达州和马里兰州两组6个测潮站估算的相对海平面趋势的加权平均值,发现马里兰州相对于佛罗里达州的区域垂直地壳运动在统计上具有显著意义,沉降率为- 1.15±0.15 mm/年,主要是由于正在进行的冰川均衡调整过程。该估计值是一个一致性值,用于验证从GPS时间序列计算的垂直地壳速度,以及对这些地区的预测GIA模型的约束。
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引用次数: 0
Airborne geoid mapping of land and sea areas of East Malaysia 东马来西亚陆地和海域的航空大地水准面测绘
IF 1.3 Q4 REMOTE SENSING Pub Date : 2017-02-23 DOI: 10.1515/jogs-2017-0010
H. Jamil, M. Kadir, R. Forsberg, A. Olesen, M. N. Isa, S. Rasidi, A. Mohamed, Z. Chihat, E. Nielsen, F. Majid, K. Talib, SAIFUL AMAN Bin HJ SULAIMAN
Abstract This paper describes the development of a new geoid-based vertical datum from airborne gravity data, by the Department of Survey and Mapping Malaysia, on land and in the South China Sea out of the coast of East Malaysia region, covering an area of about 610,000 square kilometres. More than 107,000 km flight line of airborne gravity data over land and marine areas of East Malaysia has been combined to provide a seamless land-to-sea gravity field coverage; with an estimated accuracy of better than 2.0 mGal. The iMAR-IMU processed gravity anomaly data has been used during a 2014-2016 airborne survey to extend a composite gravity solution across a number of minor gaps on selected lines, using a draping technique. The geoid computations were all done with the GRAVSOFT suite of programs from DTU-Space. EGM2008 augmented with GOCE spherical harmonic model has been used to spherical harmonic degree N = 720. The gravimetric geoid first was tied at one tide-gauge (in Kota Kinabalu, KK2019) to produce a fitted geoid, my_geoid2017_fit_kk. The fitted geoid was offset from the gravimetric geoid by +0.852 m, based on the comparison at the tide-gauge benchmark KK2019. Consequently, orthometric height at the six other tide gauge stations was computed from HGPS Lev = hGPS - Nmy_geoid2017_.t_kk. Comparison of the conventional (HLev) and GPS-levelling heights (HGPS Lev) at the six tide gauge locations indicate RMS height difference of 2.6 cm. The final gravimetric geoidwas fitted to the seven tide gauge stations and is known as my_geoid2017_fit_east. The accuracy of the gravimetric geoid is estimated to be better than 5 cm across most of East Malaysia land and marine areas
摘要本文介绍了马来西亚测绘部利用航空重力数据开发的一种新的基于大地水准面的垂直基准,该基准位于陆地和南中国海东马来西亚地区沿海,覆盖面积约61万平方公里。结合了东马陆地和海洋地区超过107,000公里的机载重力数据飞行路线,提供了无缝的陆地到海洋重力场覆盖;估计精度优于2.0 mGal。在2014-2016年的一次航空测量中,使用iMAR-IMU处理的重力异常数据,使用悬垂技术将复合重力解决方案扩展到选定线路上的一些小间隙。大地水准面计算全部使用DTU-Space的GRAVSOFT程序套件完成。采用GOCE增强的EGM2008球谐模型,使球谐度N = 720。重力大地水准面首先被绑在一个潮汐计上(在Kota Kinabalu, KK2019),以产生一个拟合的大地水准面my_geoid2017_fit_kk。根据潮汐计基准KK2019的比较,拟合的大地水准面与重力大地水准面偏移了+0.852 m。根据HGPS Lev = HGPS - Nmy_geoid2017_.t_kk计算其他6个测潮站的正测高度。在六个验潮仪位置的常规(HLev)和gps水准高度(HGPS Lev)比较显示,均方根高度差为2.6厘米。最终的重力大地水准面被安装到七个潮汐测量站,并被称为my_geoid2017_fit_east。据估计,在东马来西亚大部分陆地和海洋地区,重力大地水准面精度优于5厘米
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引用次数: 15
期刊
Journal of Geodetic Science
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