MDBs Versus MIBs in Case of Multiple Hypotheses: A Study in Context of Deformation Analysis

Statistical testing procedures employed in geodetic quality control often consist of two steps: detection and identification. In the detection step, the null hypothesis (working model) ℋ₀ undergoes a validity check. If the outcome of the detection step is the rejection of ℋ₀, identification of potential source of model...

A Multi-Epoch Processing Strategy for PPP-RTK Users

The present contribution aims to address why the stochastic model of the PPP-RTK user-filter is misspecified, and how one can limit the precision-loss associated with user parameter solutions. By developing tools for measuring the stated precision-loss under existing formulations of the user’s Kalman filter, we propose an alternative...

PDF Evaluation of Elliptically Contoured GNSS Integer Ambiguity Residuals

In this contribution we will present and evaluate the joint probability density function (PDF) of the multivariate integer GNSS carrier phase ambiguity residuals, thereby assuming that the GNSS data belong to the very general class of elliptically contoured (EC) distributions. Examples of distributions belonging to this class are the...

Multi-GNSS PPP-RTK: Mixed-receiver network and user scenarios

In this contribution, we present full-rank observation equations of the network and user receivers, of mixed types, through an application of S-system theory. We discuss the important roles played by the inter system biases (ISBs), and we show how the three-component structure of PPP-RTK is affected by the inclusion of the ISBs as extra...