A sensor system (1,10) for measuring a process value ( φ ( t)) of a physical system, comprising: - a plurality of sensors (HE i), wherein each sensor (HE i) is configured to generate a sense signal ( q i ( t)) as a function of the process value ( φ ( t)) at a given time ( t k, t i,k); - a system state corrector (3,11) configured to determine an actual system state ( x k | k) of the physical system at a given state update cycle (k), wherein the system state ( x k | k) comprises the process value ( φ k|k) at the given state update cycle (k) and at least a first order derivative ( ω k | k) of the process value ( φ ( t)) at the given state update cycle (k); - a system state predictor (4,12) configured to determine a predicted system state ( x k | k -1) of the physical system at a given prediction cycle (k,{i,k}) from a previous system state ( x k -1| k -1) at a previous state update cycle (k-1); - a sense signal predictor (5,13) configured to determine predicted sense signals ( q → ^ k | k − 1, q i,k | k -1) at the given prediction cycle (k,{i,k}) from the predicted system state ( x k | k -1) by applying a first operation to the predicted system state ( x k | k -1) using a sense signal model of the physical system for predicting the sense signals ( q → ^ k | k − 1, q̂ i,k | k -1); wherein the system state corrector (3,11) is configured to determine the actual system state ( x k | k) at the given state update cycle (k) by applying a second operation to the predicted system state ( x k | k -1) according to an error signal ( y k | k -1, y i,k | k -1) representative of the difference between a set of acquired sense signals ( q k, q i,k) acquired from the sense signals ( q i ( t)) each at the given prediction cycle (k,{i,k}) and the corresponding predicted sense signals ( q → ^ k | k − 1, q̂ i,k | k -1) for each of the acquired sense signals ( q k, q i,k), characterized in that the sense signal model is a signal model matrix comprising row and column entries, wherein each row entry relates to the sense signal ( q i ( t)) of one sensor (HE i) and the column entries of the model matrix refer to multiple harmonics. - a plurality of sensors (HE i), wherein each sensor (HE i) is configured to generate a sense signal ( q i ( t)) as a function of the process value ( φ ( t)) at a given time ( t k, t i,k); - a system state corrector (3,11) configured to determine an actual system state ( x k | k) of the physical system at a given state update cycle (k), wherein the system state ( x k | k) comprises the process value ( φ k|k) at the given state update cycle (k) and at least a first order derivative ( ω k | k) of the process value ( φ ( t)) at the given state update cycle (k); - a system state predictor (4,12) configured to determine a predicted system state ( x k | k -1) of the physical system at a given prediction cycle (k,{i,k}) from a previous system state ( x k -1| k -1) at a previous state update cycle (k-1); - a sense signal predictor (5,13) configured to determine predicted sense signals ( q → ^ k | k − 1, q i,k | k -1) at the given prediction cycle (k,{i,k}) from the predicted system state ( x k | k -1) by applying a first operation to the predicted system state ( x k | k -1) using a sense signal model of the physical system for predicting the sense signals ( q → ^ k | k − 1, q̂ i,k | k -1); wherein the system state corrector (3,11) is configured to determine the actual system state ( x k | k) at the given state update cycle (k) by applying a second operation to the predicted system state ( x k | k -1) according to an error signal ( y k | k -1, y i,k | k -1) representative of the difference between a set of acquired sense signals ( q k, q i,k) acquired from the sense signals ( q i ( t)) each at the given prediction cycle (k,{i,k}) and the corresponding predicted sense signals ( q → ^ k | k − 1, q̂ i,k | k -1) for each of the acquired sense signals ( q k, q i,k), characterized in that the sense signal model is a signal model matrix comprising row and column entries, wherein each row entry relates to the sense signal ( q i ( t)) of one sensor (HE i) and the column entries of the model matrix refer to multiple harmonics.