Single-Frequency PPP-RTK: Theory
and Experimental Results
Dennis Odijk, Peter J.G. Teunissen, and Amir Khodabandeh
Abstract
Integer ambiguity resolution enabled Precise (cm-level) Point Positioning (PPP) is feasible
if corrections from a GPS network of CORS stations are applied to the single-receiver
phase and code data of a user. The concept of PPP-RTK requires a proper definition and
quality of the PPP-user network corrections, which are satellite clocks, satellite phase
biases and ionospheric delays interpolated to the approximate location of the user. The
availability of the satellite phase bias corrections enables the user to carry out integer
resolution of ambiguities that are double-differenced, i.e., relative to those of the pivot
receiver in the network. The availability of the interpolated ionospheric corrections is
not absolutely required, however PPP-RTK for single-frequency users would virtually be
impossible without them. A proper handling of the network corrections implies that the
PPP-user should take their uncertainty into account as well. In order to limit the amount
of information to be transmitted to the user, in this contribution we provide a closed-form
analytical expression for the variance matrix of the network corrections which a single-
frequency user can apply in his processing. Experimental results of single-frequency PPP-
RTK for both a high-grade geodetic receiver as well as a low-grade mass-market receiver
demonstrate that although single-epoch integer ambiguity resolution is not possible, single-
frequency ambiguity resolution enabled cm-level PPP is feasible based on an accumulation
of less than 10 min of observations plus network corrections on average.
Keywords
GPS • PPP-RTK • Single frequency • Integer ambiguity resolution • Closed-form variance
matrix
1 Introduction
The technique of Precise Point Positioning (PPP) is based on
GPS carrier phase and code (pseudo-range) observations of
a single receiver, employing corrections for, among others,
satellite orbits, clocks and ionospheric delays obtained from
a worldwide network of GPS stations, for example the
permanent GPS network of the International GNSS Service
D. Odijk () • P.J.G. Teunissen • A. Khodabandeh
Curtin University, GPO Box U1987, Perth, WA 6845, Australia
e-mail: d.odijk@curtin.edu.au
(IGS; Dow et al. (2009)). PPP was introduced in Zumberge
et al. (1997) and the attainable instantaneous precision for
a single-frequency user who employs global corrections is
typically at the level of a few dm (van Bree and Tiberius
2012; Huisman et al. 2012).
The key to fast and cm-level PPP lies in resolving the
ambiguities that are present in the phase data to integer
values. Unfortunately, with the standard PPP technique this
is not possible, because the ambiguities cannot be separated
from the satellite hardware biases in the phase and code
data. In this contribution we will present an approach that
allows the single-receiver user to perform integer ambiguity
resolution within short time spans and consequently enable
C. Rizos and P. Willis (eds.), Earth on the Edge: Science for a Sustainable Planet, International Association
of Geodesy Symposia 139, DOI 10.1007/978-3-642-37222-3__75,
© Springer-Verlag Berlin Heidelberg 2014
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