Abstract: The present disclosure describes a sensor device and a method for determining a relative angular position between a first shaft half and a second shaft half of a rotary shaft, including: a first magnetic structure and a second magnetic structure having spatially different magnetic periodicities, wherein the first magnetic structure is mounted on the first shaft half and the second magnetic structure is mounted on the second shaft half such that respective magnetic fields generated by the first and second magnetic structures superpose, at least four sensors mounted stationary with respect to a rotary movement of the rotary shaft such that the superposed magnetic field is detectable by each of the stationary sensors, and an electronic evaluation circuit configured to receive measurement values corresponding to the superposed magnetic field from each of the sensors to determine the relative angular position from the received measurement values.

Abstract: The present disclosure describes a sensor system for measuring a process value of a physical system, including: a plurality of sensors, wherein each sensor is configured to generate a sense signal as a function of the process value at a given time; a system state corrector configured to determine an actual system state of the physical system at a given state update cycle; a system state predictor configured to determine a predicted system state of the physical system at a given prediction cycle from a previous system state at a previous state update cycle; a sense signal predictor configured to determine predicted sense signals at the given prediction cycle from the predicted system state by applying a first operation to the predicted system state using a sense signal model of the physical system for predicting the sense signals.

Abstract: The present disclosure describes a sensor system for measuring a process value of a physical system, including: a plurality of sensors, wherein each sensor is configured to generate a sense signal as a function of the process value at a given time; a system state corrector configured to determine an actual system state of the physical system at a given state update cycle; a system state predictor configured to determine a predicted system state of the physical system at a given prediction cycle from a previous system state at a previous state update cycle; a sense signal predictor configured to determine predicted sense signals at the given prediction cycle from the predicted system state by applying a first operation to the predicted system state using a sense signal model of the physical system for predicting the sense signals.

Abstract: The invention concerns a method for determining a position ? of a position indicator of a position measuring system, in which the sensor signals a1 to ar of a number of r sensors are recorded as a signal vector {right arrow over (a)}=(a1, . . . , ar), a measurement vector {right arrow over (q)} is formed according to {right arrow over (q)}=g({right arrow over (a)}), a 2-component vector {right arrow over (p)} is calculated according to {right arrow over (p)}=M·{right arrow over (q)}, wherein M is a 2×n matrix, and the position ? is determined by means of a predetermined function ƒ({right arrow over (p)}) to ?=ƒ({right arrow over (p)}), wherein the function ƒ({right arrow over (p)})=ƒ(p1,p2) is based on the equations p1=cos(?) and p2=sin(?).