Abstract: The invention relates to a method for determining the position and shape of a control area on a road on which a vehicle is travelling, and to which a usage charge applies. According to the invention, a segment of the road is divided into segment sections and the perimeter of geographical coordinates of the control area associated with each segment section is calculated. At at least two different moments, a GNSS receiver calculates the position of the vehicle, said calculated positions being inside the control area; a control area being provided that is defined by a perimeter of geographical coordinates, fulfilling the requirements in terms of charging availability being above a pre-determined threshold value and the probability of a charging error being below a threshold value.

Abstract: The invention relates to a method for determining the position and shape of a control area on a road on which a vehicle is travelling, and to which a usage charge applies. According to the invention, a segment of the road is divided into segment sections and the perimeter of geographical coordinates of the control area associated with each segment section is calculated. At at least two different moments, a GNSS receiver calculates the position of the vehicle, said calculated positions being inside the control area; a control area being provided that is defined by a perimeter of geographical coordinates, fulfilling the requirements in terms of charging availability being above a pre-determined threshold value and the probability of a charging error being below a threshold value.

Abstract: The invention relates to a method for determining the position and shape of a control area on a road on which a vehicle is travelling, and to which a usage charge applies. According to the invention, a segment of the road is divided into segment sections and the perimeter of geographical coordinates of the control area associated with each segment section is calculated. At at least two different moments, a GNSS receiver calculates the position of the vehicle, said calculated positions being inside the control area; a control area being provided that is defined by a perimeter of geographical coordinates, fulfilling the requirements in terms of charging availability being above a pre-determined threshold value and the probability of a charging error being below a threshold value.

Abstract: The present invention relates to a method for computing autonomous horizontal and vertical Protection Levels for least squares-based GNSS positioning, based on navigation residuals and an isotropic confidence ratio.

Abstract: The present invention belongs to the field of positioning applications, particularly those requiring or benefiting from the use of geographic information and needing a high service or integrity guarantee, such as positioning by means of a satellite navigation system for users and ground vehicles circulating through a network of streets and highways for example. The invention can be used both for critical safety applications and for those entailing legal or contractual responsibilities.

Abstract: Method for the computation of horizontal and vertical protection levels, HPL VPL, that bound up to a given confidence level 1-? the horizontal and vertical components, respectively, of the position estimation error ? of a least squares-based GNSS navigation solution, wherein the HPL and VPL are computed as follows: HPL=k·?r?·aH, VPL=k·?r?aV, where: ?r? is the Euclidean norm of the least squares estimation residuals vector r; aH is defined as: a H = h EE + h NN 2 + ( h EE - h NN 2 ) 2 + ( h EN + h NE 2 ) 2 , and aV is defined as: aV=?{square root over (hUU)}, where hEE, hNN, hEN, hNE, hEU, hUE, hUU, hNU, hUN are the spatial components of the dilution of precision matrix DoP (HT·H)?1 of the least squares estimation expressed in the local horizontal coordinate system of the estimated position: ( H T · H ) Space - 1 = [ h EE h EN h EU h NE h NN h NU h UE h UN h UU ] , H

Abstract: The invention relates to a method for determining a set of passable roads or areas traveled by a user with a minimum associated probability or integrity which comprises: receiving from a GNSS system respective position solutions PVT of said user in respective instants of time ta and tb, respectively, and respective position integrity ellipses, Ia and Ib (201), with respective minimum associated probabilities, Pa and Pb, that the user is located in each of them in ta and in tb, respectively, and a position increase ?ab between ta and tb with its position increase integrity ellipse Iab (204) and its associated probability Pab; obtaining from a GIS system respective passable areas corresponding to said PVT solutions, determining a first passable integral area Sa=Ia?TGIS (202) and a second passable integral area Sb=Ib?TGIS (203) as an intersection for each instant of time of said position integrity ellipses with said passable areas; propagating said first passable integral area to the subsequent instant tb by