Abstract: The invention relates to a method and a system for determining the position of a device (1) by taking measurements to determine the range between at least a first positioning station (2) and the device (1) and to determine the range between at least a second positioning station (3) and the device (1). At least one measurement defines a geometric surface for the position of the device (1). Said first positioning station (2) and second positioning station (3) belong to different systems. In the invention, the measurements are used to select a geometric model which comprises, at the most, quadratic surfaces, the selected geometric model is simplified to reduce the number of quadratic surfaces, the measurement results are inserted in the simplified geometric model, and the position of the device (1) is determined by solving the simplified geometric model. The invention also relates to a device (1) and a program in which the method is applied, as well as to a storage means for storing the program.

Abstract: The invention relates to a method and a system for determining the position of a device (1) by taking measurements to determine the range between at least a first positioning station (2) and the device (1) and to determine the range between at least a second positioning station (3) and the device (1). At least one measurement defines a geometric surface for the position of the device (1). Said first positioning station (2) and second positioning station (3) belong to different systems. In the invention, the measurements are used to select a geometric model which comprises, at the most, quadratic surfaces, the selected geometric model is simplified to reduce the number of quadratic surfaces, the measurement results are inserted in the simplified geometric model, and the position of the device (1) is determined by solving the simplified geometric model. The invention also relates to a device (1) and a program in which the method is applied, as well as to a storage means for storing the program.

Abstract: The invention relates to a method for determining in a positioning system the position of a receiver and/or an accurate system time. The receiver receives and tracks code modulated signals transmitted by beacons of the positioning system and comprising a known regularity. In order to enable an improved positioning, it is proposed that the method comprises establishing a grid covering the area 20 of earth which is visible by a plurality of beacons from which said receiver receives and tracks code modulated signals at a specific reference time instance. The method further comprises determining the position of the receiver and/or the system time based on measured code phases of code modulated signals received and tracked by the receiver, on available assistance data and on at least a selected one of the intersection points of the grid as reference location. The invention relates equally to corresponding devices and a positioning system.

Abstract: The invention relates to a method for performing positioning, in which a spread spectrum signal modulated with a repetition code and transmitted by satellites, is received. The method comprises the steps of performing acquisition to the received, spread spectrum modulated signal, measuring the code phase of the received, spread spectrum modulated signal, and receiving the ephemeris parameters of satellites which are used in the positioning. In the method an optimizing phase is performed in order to minimize a cost function. The cost function includes a fraction operator having an argument that includes at least one residual error.

Abstract: The invention relates to a method for determining in a positioning system the position of a receiver and/or an accurate system time. The receiver receives and tracks code modulated signals transmitted by beacons of the positioning system and comprising a known regularity. In order to enable an improved positioning, it is proposed that the method comprises establishing a grid covering the area 20 of earth which is visible by a plurality of beacons from which said receiver receives and tracks code modulated signals at a specific reference time instance. The method further comprises determining the position of the receiver and/or the system time based on measured code phases of code modulated signals received and tracked by the receiver, on available assistance data and on at least a selected one of the intersection points of the grid as reference location. The invention relates equally to corresponding devices and a positioning system.

Abstract: The invention relates to a method for performing positioning, in which a spread spectrum signal modulated with a repetition code and transmitted by satellites, is received. The method comprises the steps of performing acquisition to the received, spread spectrum modulated signal, measuring the code phase of the received, spread spectrum modulated signal, and receiving the ephemeris parameters of satellites which are used in the positioning. In the method an optimizing phase is performed in order to minimize a cost function. As the cost function is used a fraction operator wherein at least one residual error is used as the argument of said fraction operator.