GNSS Elevation-Dependent Stochastic Modeling and Its Impacts on the Statistic Testing
Publication: Journal of Surveying Engineering
Volume 142, Issue 2
Abstract
Only the correct stochastic model can be applied to derive the optimal parameter estimation and then realize the precision global navigation satellite system (GNSS) positioning. The key for refining the GNSS stochastic model is to establish the easy-to-use stochastic model that should capture the error characteristics adequately based on the estimated precisions from the real observations. In this paper, the authors study the GNSS elevation-dependent precision modeling and analyze its impact on the statistic testing involved in the adjustment reliability. With the zero-baseline dual-frequency Global Positioning System (GPS) data, the authors first estimate the elevation-dependent precisions and establish the stochastic models by fitting them with three predefined functions, including the unique precision function and the sine and exponential types of elevation-dependent functions. Three established models are then evaluated by their performance in the overall and w-statistic testing. The results indicated that the GNSS observation precisions are indeed elevation dependent, but this dependence differed from the observation types. The inadequate elevation-dependent model will result in the incorrect statistics and lead to larger wrong decisions, for instance, larger false alarms.
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Acknowledgments
This work is supported by the National Natural Science Funds of China (41374031, 41574023, and 41274035), the State Key Laboratory of Geo-information Engineering (SKLGIE2013-M-2-2), and the China Special Fund for Surveying, Mapping and Geo-information Research in the Public Interest (HY14122136).
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© 2015 American Society of Civil Engineers.
History
Received: Mar 5, 2014
Accepted: Sep 15, 2015
Published online: Dec 30, 2015
Published in print: May 1, 2016
Discussion open until: May 30, 2016
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