Network-based geometry-free three carrier ambiguity resolution and phase bias calibration |
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Authors: | Yanming Feng Chris Rizos |
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Institution: | (1) Queensland University of Technology, GPO Box 2434, Brisbane, QLD, Q4001, Australia;(2) The University of New South Wales, Sydney, NSW, 2052, Australia |
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Abstract: | Continuously operating reference stations (CORS) are increasingly used to deliver real-time and near-real-time precise positioning
services on a regional basis. A CORS network-based data processing system uses either or both of the two types of measurements:
(1) ambiguity-resolved double-differenced (DD) phase measurements, and (2) phase bias calibrated zero-differenced (ZD) phase
measurements. This paper describes generalized, network-based geometry-free models for three carrier ambiguity resolution
(TCAR) and phase bias estimation with DD and ZD code and phase measurements. First, the geometry-free TCAR models are constructed
with two Extra-Widelane (EWL)/Widelane (WL) virtual observables to allow for rapid ambiguity resolution (AR) for DD phase
measurements without distance constraints. With an ambiguity-resolved WL phase measurement and the ionospheric estimate derived
from the two EWL observables, an additional geometry-free equation is formed for the third virtual observable linearly independent
of the previous two. AR with the third geometry-free model requires a longer period of observations for averaging than the
first two, but is also distance-independent. A more general formulation of the geometry-free model for a baseline or network
is also introduced, where all the DD ambiguities can be more rigorously resolved using the LAMBDA method. Second, the geometry-free
models for calibration of three carrier phase biases of ZD phase measurements are similarly defined for selected virtual observables.
A network adjustment procedure is then used to improve the ZD phase biases with known DD integer constraints. Numerical results
from experiments with 24-h dual-frequency GPS data from three US CORS stations baseline lengths of 21, 56 and 74 km confirm
the theoretical predictions concerning AR reliability of the network-based geometry-free algorithms.
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Keywords: | GNSS Three carrier ambiguity resolution Phase bias calibration Network adjustment |
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