Amplitude analysis using Goertzel algorithm in a differential transformer displacement sensor

Position sensor assembly comprising at least a primary coil (1), at least a first and a second secondary coil (3, 4) and at least a soft magnetic coupling element (2), which couples the primary coil (1) and the two secondary coils (3, 4) magnetically, wherein the displacement sensor is designed such that a position and / or displacement in dependence of the magnetic coupling between the primary coil (1) and at least the first and second secondary coil (3, 4) is detected, wherein the travel sensor arrangement comprises a signal processing unit (5) which is adapted to perform a digital signal processing at least one electrical variable of the two secondary coils (3, 4) and determines the position and / or deflection, wherein the signal processing unit (5) comprises at least one Goertzelfilter (6).