A unified scheme for processing GPS dual-band phase observations

Schaffrin, Burkhard; Bock, Yehuda

doi:10.1007/bf02519222

Cited by 109 publications

(48 citation statements)

References 4 publications

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“…A similar type of stochastic modeling of the ionospheric delays was already used by Bock et al (1986). Other applications of the ionosphereweighted model can be found in, among others, Schaffrin and Bock (1988), Goad and Yang (1994), Schaer (1994), Teunissen (1998), Odijk (2000), Liu (2001), Milbert (2005, Odijk (2002), O'Keefe et al (2005), Wu et al (2004) and Richtert and El-Sheimy (2005).…”

Section: Observation Equationsmentioning

confidence: 99%

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ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models

Odijk

Teunissen

2008

J Geod

106

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Successful carrier phase ambiguity resolution is the key to high-precision positioning with Global Navigation Satellite Systems (GNSS). The ambiguity dilution of precision (ADOP) is a well-known scalar measure which can be used to infer the strength of the GNSS model for carrier phase ambiguity resolution. In this contribution we present analytical closed-form expressions for the ADOP. This will be done for a whole class of different multifrequency single baseline models. These models include the geometry-fixed, the geometry-free and the geometry-based models, respectively. And within the class of geometry-based models, we discriminate between short and long observation time spans, and between stationary and moving receivers. The easy-to-use ADOP expressions can be applied to infer the contribution of various GNSS model factors. They comprise, for instance, the type, the number and the precision of the GNSS observations, the number and selection of frequencies, the presence of atmospheric disturbances, the length of the observation time span and the length of the baseline.

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Section: Observation Equationsmentioning

confidence: 99%

“…As an illustration, we computed ADOPs based on the receiver-satellite geometry at permanent GPS station Delft Schaffrin and Bock (1988), then this corresponds to a baseline of about 15 km. Fig.…”

Section: Example: Instantaneous Geometry-based Adopsmentioning

confidence: 99%

ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models

Odijk

Teunissen

2008

J Geod

106

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“…In addition, we applied tropospheric constraints based on a model of residual tropospheric delay [Davis, et al, 1987]. The observables used in the first adjustment were LI and L2 phases and weighted constraints on residual ionospheric refraction effects Schaffrin and Bock, 1988].…”

Section: Discussionmentioning

confidence: 99%

National Earthquake Hazards Reduction Program, summaries of technical reports, volume XXVII

Jacobson¹

1988

Open-File Report

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“…The two extreme cases are generally referred to as ionosphere fixed and ionosphere float. In practice s 2 may often vary between these two extreme values, depending on the baseline length (Schaffrin and Bock, 1988).…”

Section: Baseline Modelsmentioning

confidence: 99%

Minimal Detectable Biases of GPS observations for a weighted ionosphere

Jong

Teunissen

2014

Earth Planet Sp

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The theory and application of statistical quality control is well established in precise positioning, navigation and geodesy. Quality control is made up of several contributing factors, one of which is internal reliability. Internal reliability describes the ability to find biases in observational data and is represented by the Minimal Detectable Bias (MDB). The MDB provides a diagnostic tool to infer the strength with which positioning models can be validated. In this contribution closed-form expressions will be given for the MDBs of GPS code and carrier observations for three different baseline models: the geometry-free model and two variants of the geometry-based model. These expressions apply to any number of carrier frequencies. The expressions take into account the presence of ionospheric disturbances by weighting these effects. As such, they are applicable to baselines of any length.

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A unified scheme for processing GPS dual-band phase observations

Cited by 109 publications

References 4 publications

ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models

ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models

National Earthquake Hazards Reduction Program, summaries of technical reports, volume XXVII

Minimal Detectable Biases of GPS observations for a weighted ionosphere

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