Comparative Analysis of Height-Related Multiple Correction Interpolation Methods with Constraints for Network RTK in Mountainous Areas

2016 ◽  
Vol 69 (5) ◽  
pp. 991-1010 ◽  
Author(s):  
Junesol Song ◽  
Byungwoon Park ◽  
Changdon Kee
Keyword(s):  
Comparative Analysis ◽  
Interpolation Method ◽  
Reference Station ◽  
Tropospheric Delay ◽  
Interpolation Methods ◽  
Network Rtk ◽  
The Usa ◽  
Vertical Positioning ◽  
Multiple Reference ◽  
Gps Observations

In Network RTK (Real-Time Kinematic) positioning, the multiple corrections from the reference stations, which constitute a network, are interpolated for the user location through appropriate interpolation models. There exist various methods to model spatial decorrelation errors from the tropospheric and ionospheric delay, which are the main contributors of the multiple corrections. Since tropospheric delay is largely affected by height differences, the heights of the multiple reference stations should be considered when selecting the appropriate interpolation methods. This work provides a comparative analysis of the different levels of performance of each height-related multiple correction interpolation method. In addition, this study proposes to add constraints to the conventional height-related interpolation methods that are derived from the characteristics of the tropospheric zenith delay variation over height. The actual Global Positioning System (GPS) observations are collected from selected reference station networks located in the USA for performance evaluation. As a result, the proposed solution yields improved vertical positioning accuracy by approximately 10% compared to the conventional interpolation methods for the selected networks.

scholarly journals Modified Interpolation Method of Multi-Reference Station Tropospheric Delay Considering the Influence of Height Difference

2021 ◽  
Vol 13 (15) ◽  
pp. 2994
Author(s):  
Yakun Pu ◽  
Min Song ◽  
Yunbin Yuan
Keyword(s):  
Conventional Method ◽  
Interpolation Method ◽  
Vertical Direction ◽  
Linear Interpolation ◽  
Reference Station ◽  
Tropospheric Delay ◽  
Height Difference ◽  
Atmospheric Delay ◽  
Modified Method ◽  
Linear Interpolation Method

In network real-time kinematic (NRTK) positioning, atmospheric delay information is critical for generating virtual observations at a virtual reference station (VRS). The traditional linear interpolation method (LIM) is widely used to obtain the atmospheric delay correction. However, even though the conventional LIM is robust in the horizontal direction of the atmospheric error, it ignores the influence of the vertical direction, especially for the tropospheric error. If the height difference between the reference stations and the rover is large and, subsequently, tropospheric error and height are strongly correlated, the performance of the traditional method is degraded for tropospheric delay interpolation at the VRS. Therefore, considering the height difference between the reference stations and the rover, a modified linear interpolation method (MLIM) is proposed to be applied to a conventional single Delaunay triangulated network (DTN). The systematic error of the double-differenced (DD) tropospheric delay in the vertical direction is corrected first. The LIM method is then applied to interpolate the DD tropospheric delay at the VRS. In order to verify the performance of the proposed method, we used two datasets from the American NOAA continuously operating reference stations (CORS) network with significant height differences for experiments and analysis. Results show that the DD tropospheric delay interpolation accuracy obtained by the modified method is improved by 84.1% and 69.6% on average in the two experiments compared to the conventional method. This improvement is significant, especially for low elevation satellites. In rover positioning analysis, the traditional LIM has a noticeable systematic deviation in the up component. Compared to the conventional method, the positioning accuracy of the MLIM method is improved in the horizontal and vertical directions, especially in the up component. The accuracy of the up component is reduced from tens of centimeters to a few centimeters and demonstrates better positioning stability.

Research about Influencing Factor on Interpolation Accuracy in Data Exchange of Fluid-Structure Interaction

2013 ◽  
Vol 318 ◽  
pp. 100-107
Author(s):  
Zhen Shen ◽  
Biao Wang ◽  
Hui Yang ◽  
Yun Zheng
Keyword(s):  
Data Exchange ◽  
Shape Function ◽  
Interpolation Method ◽  
Matching Condition ◽  
Optimal Interpolation ◽  
Complex Interpolation ◽  
Interpolation Function ◽  
Interpolation Methods ◽  
Interpolation Accuracy ◽  
Lower Accuracy

Six kinds of interpolation methods, including projection-shape function method, three-dimensional linear interpolation method, optimal interpolation method, constant volume transformation method and so on, were adoped in the study of interpolation accuracy. From the point of view about the characterization of matching condition of two different grids and interpolation function, the infuencing factor on the interpolation accuracy was studied. The results revealed that different interpolation methods had different interpolation accuracy. The projection-shape function interpolation method had the best effect and the more complex interpolation function had lower accuracy. In many cases, the matching condition of two grids had much greater impact on the interpolation accuracy than the method itself. The error of interpolation method is inevitable, but the error caused by the grid quality could be reduced through efforts.

Analysis of GPS RTK performance using external NOAA tropospheric corrections integrated with a multiple reference station approach

GPS Solutions ◽  
2006 ◽  
Vol 10 (3) ◽  
pp. 171-186 ◽  
Author(s):  
Yong Won Ahn ◽  
G. Lachapelle ◽  
S. Skone ◽  
S. Gutman ◽  
S. Sahm
Keyword(s):  
Reference Station ◽  
Gps Rtk ◽  
Tropospheric Corrections ◽  
Multiple Reference

PROVIDING FREE LEGAL ASSISTANCE TO PERSONS SENTENCED TO IMPRISONMENT IN RUSSIA AND THE USA: A COMPARATIVE ANALYSIS

2021 ◽  
pp. 14-19
Author(s):  
Оксана Алексеевна Владимирова
Keyword(s):  
United States ◽  
Comparative Analysis ◽  
The United States ◽  
Synthesis Methods ◽  
Legal Assistance ◽  
American System ◽  
The Usa ◽  
Legal Foundations ◽  
The Subject ◽  
Domestic Practice

Статья посвящена исследованию опыта оказания бесплатной юридической помощи осужденным к лишению свободы в США, а также проведению сравнительного анализа данного и отечественного опыта. Целью работы является изучение основных организационных аспектов и правовых основ оказания юридической помощи такой категории граждан, как осужденные, с целью установления закономерностей и выявления возможности использования положительных аспектов указанного опыта в российском законодательстве. Методы, использующиеся при написании статьи: диалектический, анализ, синтез, сравнительно-правовой. В статье последовательно изучается организация оказания бесплатной юридической помощи осужденным и их родственникам в различных регионах (штатах) США. Особое внимание уделяется субъектам оказания помощи, а также специфике отдельных механизмов и особенностей работы организаций по оказанию безвозмездной помощи осужденным. В качестве особенности американской системы оказания правовой помощи автор особенно выделяет предметный (специализированный) подход к вопросам оказания помощи - отдельные организации занимаются оказанием помощи по выбранному узкому кругу вопросов. Исследование российского опыта правовой помощи осужденным позволяет отметить некоторые преимущества. Вместе с тем, анализ проблем, существующих в системе оказания бесплатной юридической помощи осужденным к лишению свободы, позволил сделать вывод о необходимости совершенствования системы юридической помощи в России. В результате работы выявлен положительный опыт, возможный для применения в российском законодательстве. The article is devoted to the study of the experience of providing free legal assistance to those sentenced to imprisonment in the United States, as well as to the comparative analysis of this experience and that available in domestic practice. The purpose of this work is to study the main organizational aspects and legal foundations of providing legal assistance to such a category of citizens as convicts in order to establish patterns and identify the possibility of using the positive aspects of this experience in Russian legislation. Methods used in this study: dialectical method of cognition, analysis, synthesis, methods of comparative law. The article consistently examines the organization of the provision of free legal assistance to convicts and their relatives in various regions (states) of the United States. Great attention is paid to the subjects of assistance, as well as the specifics of individual mechanisms and features of the work of organizations to provide gratuitous assistance to convicts. As a feature of the American system of providing legal assistance, the author especially highlights the subject (specialized) approach to assistance issues - individual organizations are involved in providing assistance on a selected narrow range of issues. The study of the Russian experience of legal assistance to convicts reveals some advantages. At the same time, the analysis of the problems existing in the system of providing free legal assistance to those sentenced to imprisonment made it possible to conclude that it is necessary to improve the system of legal assistance in Russia. As a result of the work, a positive experience was revealed that could be applied in Russian legislation.

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