A sensor device includes a first sensor arrangement configured to generate first sensor signals based on sensing a varying magnetic field generated by a pole wheel having a pole wheel pitch, wherein the first sensor signals represent a first differential signal that defines a first measurement value; a second sensor arrangement configured to generate at least one second sensor signal based on sensing the varying magnetic field, wherein the at least one second sensor signal defines a second measurement value that is phase shifted from the first measurement value; and a signal processor configured to detect the pole wheel pitch based on the first measurement value and the second measurement value, and adjust a gain setting of an amplifier circuit based on the detected pole wheel pitch, where the amplifier circuit is configured to amplify the at least one second sensor signal.