Abstract: The invention relates to providing atmospheric correction data in a GNSS network-RTK system for correcting GNSS data, wherein a base triangulation that encloses at least part of the reference stations of the GNSS network-RTK system is subdivided into child triangles by means of a recursive division of parent triangles into four child triangles, synthetic data are determined for each of the child triangles based on a triangulation algorithm applied to basic data of the reference stations such that the synthetic data represent a gridded representation of the basic data, and access to correction data is provided, wherein the correction data comprise at least part of the synthetic data arranged in a quad-tree hierarchy.

Abstract: The invention relates to providing atmospheric correction data in a GNSS network-RTK system for correcting GNSS data, wherein a base triangulation that encloses at least part of the reference stations of the GNSS network-RTK system is subdivided into child triangles by means of a recursive division of parent triangles into four child triangles, synthetic data are determined for each of the child triangles based on a triangulation algorithm applied to basic data of the reference stations such that the synthetic data represent a gridded representation of the basic data, and access to correction data is provided, wherein the correction data comprise at least part of the synthetic data arranged in a quad-tree hierarchy.

Abstract: Systems and methods for determining a position of a vehicle are described. The system includes at least one GNSS sensor mounted to the vehicle for receiving GNSS signals of a global positioning system and at least one physical sensor mounted to the vehicle for generating physical data indicative of a physical parameter of at least a part of the vehicle. The system also includes a recursive statistical estimator, such as a Kalman Filter, in communication with the GNSS sensor(s) for seeding the recursive statistical estimator with an output of the GNSS sensor(s) to determine an estimated position of the vehicle. A data fusion module combines the estimated position and velocity of the vehicle with the physical data thus generating combined data, which is used to seed the recursive statistical estimator to determine an updated estimated position of the vehicle.

Abstract: A correction calculation method for a satellite based positioning system with a network of receiving units as reference stations comprises a partitioning of the network into groups of reference stations, calculation of group-specific correction factors, amalgamation of the group-specific correction factors and subsequently, derivation of network-specific correction parameters. In this partitioning, the reference stations are represented by nodes in a connected, edge-weighted graph, in the generation of which an edge respectively connecting two nodes is only generated if it satisfies a distance-dependent connectivity condition, whereby the distance between the nodes connected by this edge is input into the weighting function of this edge. From the graph a minimum spanning tree is derived and subsequently partitioned for establishing the groups.

Abstract: A correction calculation method for a satellite based positioning system with a network of receiving units as reference stations comprises a partitioning of the network into groups of reference stations, calculation of group-specific correction factors, amalgamation of the group-specific correction factors and subsequently, derivation of network-specific correction parameters. In this partitioning, the reference stations are represented by nodes in a connected, edge-weighted graph, in the generation of which an edge respectively connecting two nodes is only generated if it satisfies a distance-dependent connectivity condition, whereby the distance between the nodes connected by this edge is input into the weighting function of this edge.

Abstract: Systems and methods for determining a position of a vehicle are described. The system includes at least one GNSS sensor mounted to the vehicle for receiving GNSS signals of a global positioning system and at least one physical sensor mounted to the vehicle for generating physical data indicative of a physical parameter of at least a part of the vehicle. The system also includes a recursive statistical estimator, such as a Kalman Filter, in communication with the GNSS sensor(s) for seeding the recursive statistical estimator with an output of the GNSS sensor(s) to determine an estimated position of the vehicle. A data fusion module combines the estimated position and velocity of the vehicle with the physical data thus generating combined data, which is used to seed the recursive statistical estimator to determine an updated estimated position of the vehicle.