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Related robust estimation in GPS Data Processing Application

Author: AnJianYing
Tutor: ZhuLanYan
School: Kunming University of Science and Technology
Course: Geodesy and Survey Engineering
Keywords: GPS network adjustment Gross error Related robust estimation Right nominal accuracy Equivalent variance - covariance Variance Inflation
CLC: P228.4
Type: Master's thesis
Year: 2009
Downloads: 187
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Abstract

In recent years, with the rapid development of GPS technology and popularization, GPS positioning measurement has become an important geodetic control survey techniques. Application of GPS technology in many countries to establish a regional and national GPS geodetic control network, China has also established a national high-precision GPS Control Network. In addition, GPS in engineering surveying, topographic surveying, deformation monitoring and other aspects of the application is also the most widely used. In modern high-precision measurements, the accuracy of the GPS data processing requirements are also increasing. GPS positioning measurement, due to the observed signal propagation path and receiver and some other effects, both in the observations contain gross errors, system errors and accidental errors, gross errors and systematic errors which affect the accuracy of the main adjustment results . Meanwhile, GPS baseline vector is a set of strongly correlated observables. In GPS data processing, for high-precision GPS baseline vector adjustment network, how to measure in view of the analysis and processing of crude differential GPS data processing is the key to good and bad. In the measurement data processing, when the measurement errors follow a normal distribution, the least squares estimate has the best unbiased statistical properties, is widely used. If the measured data contain gross errors, gross errors due to measurement error deviation from normal interference leaving at this time does not have the least squares estimation ability to resist outliers, we should find another capacity with anti gross error estimation theory. If gross errors classified as stochastic models, the use of robust estimation iterative rights law. Therefore, the robust estimation theory is introduced into the measurement data processing. This paper first introduces the principle of GPS positioning measurement techniques and error sources, GPS network adjustment method peace poor standards, robust estimation of the basic principles of peaceful difference model. On this basis, the relevant observations elaborated robust estimation theory, including function model, robust estimation of the relevant principles of observation. Then, the introduction of the C language in the GPS network adjustment application. Finally, a numerical example GPS network design comparative analysis of two experimental programs to different estimation methods of the GPS network adjustment of different effects. Meanwhile, the paper discusses the concept of maintaining the relevant correlation between measured under the same conditions, with a nominal accuracy of the GPS network for the right to correct adjustment, and on this basis the application of equivalent variance - covariance function model containing gross errors for adjustment of GPS network, can reduce the gross error on the estimated parameters. In addition, contain gross errors in GPS network using two-factor variance inflation method, this method variance inflation factor to take IGGIII the reciprocal of the weight function programs, and its improved correlation established robust estimation model adjustment can be prove the feasibility of the model, and has a good ability to resist rough and smooth the difference down the right efficiency.

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