Abstract

Abstract The network-derived ionospheric delay can improve the fast and accurate determination of the long baseline in both the rapid-static and kinematic Global Positioning System (GPS) positioning mode. In this study, an interpolation of the undifferenced (UD) ionospheric delays is performed on a satellite-by-satellite and epoch-by-epoch basis, respectively, using the least-squares collocation (LSC) to provide not only ionospheric delays but also their variances. The developed method retains the simplicity of the two-dimensional (2-D) model, but it does not introduce errors due to the thin-shell assumption made in the single-layered model. Our method also provides flexibility in forming the predicted double-differenced (DD) ionospheric delays. Faster and more reliable positioning solutions can be obtained when the developed method is used to predict DD ionospheric delays. The numerical test applying the method to the Ohio Continuously Operating Reference Station network shows a 23% improvement in mean time-to-fix with the network-derived ionospheric delays.

Highlights

  • Over the past two decades, the Global Positioning System (GPS) has been widely used for analyses in the fields of solid Earth science, atmospheric science, ocean science, and surface deformation

  • We found that the integer ambiguity would be obtained in shorter time span with the provision of the predicted ionospheric delay with its error variance

  • The least-squares collocation (LSC) is a useful method for the interpolation or prediction of the signals as it introduces the covariance function related to the correlation of observed signals

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Summary

Introduction

Over the past two decades, the Global Positioning System (GPS) has been widely used for analyses in the fields of solid Earth science, atmospheric science, ocean science, and surface deformation. We found that the integer ambiguity would be obtained in shorter time span with the provision of the predicted ionospheric delay with its error variance. The receiver differential code bias (DCB) is estimated and removed to obtain UD ionospheric delays using the method proposed by Hong et al (2008).

Results
Conclusion

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