PPP–RTK theory for varying transmitter frequencies with satellite and terrestrial positioning applications

Journal article (2022)

Authors

P.J.G. Teunissen Mathematical Geodesy and Positioning - CEG , Curtin University, University of Melbourne
Amir Khodabandeh University of Melbourne
Research Group
Mathematical Geodesy and Positioning (CEG) (TU Delft)
Copyright: © 2022 P.J.G. Teunissen, A. Khodabandeh
DOI
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https://doi.org/10.1007/s00190-022-01665-2
Global navigation satellite systems (GNSS) Cellular long term evolution (LTE) Carrier-phase GLONASS Frequency division multiple access (FDMA) Integer-estimability Interferometric sensor network Precise point positioning–Real time kinematic (PPP–RTK) Rank-defect mixed-integer model
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Published Date

2022

Language

English

Faculty

Civil Engineering & Geosciences

Department

Geoscience and Remote Sensing

Research Group

Mathematical Geodesy and Positioning

Abstract

In this contribution, we generalize PPP–RTK theory by allowing the transmitters to transmit on different frequencies. The generalization is based on the integer-estimability theory of Teunissen (A new GLONASS FDMA model. GPS Solutions, 2019). As the theory and associated algorithms provided are generally applicable, they apply to satellite-based carrier-phase positioning as well as to terrestrial interferometric sensory networks. Based on an identification of the constraints imposed on the admissible ambiguity transformations by PPP–RTK, a fundamental network+user condition is found that determines whether PPP–RTK is possible or not. The discriminating contributions of both the network and user observation equations to this PPP–RTK condition are analysed, followed by a description of PPP–RTK enabling classes of measurement scenarios.