Position sensor for detecting a position of a position transmitter, having a first electric signal source in order to output a first electric signal with a first frequency and having a second electric signal source in order to output a second electric signal with a second frequency, comprising: a frequency generator for generating a further electric signal with a third frequency, wherein the first electric signal source is embodied to generate the first electric signal on the basis of the further electric signal, and wherein the second electric signal source is embodied to generate the second electric signal on the basis of the further electric signal, wherein the frequency generator comprises a master oscillator of a microcontroller a primary coil for generating an alternating magnetic field with the first frequency; a first secondary coil and a second secondary coil, wherein the first secondary coil and the second secondary coil can each be magnetically coupled to the primary coil by means of the position transmitter, and wherein a third electric signal can be induced in the first secondary coil and a fourth electric signal can be induced in the second secondary coil by the generated alternating magnetic field; a frequency converter for converting the third electric signal into a first intermediate frequency signal and for converting the fourth electric signal into a second intermediate frequency signal, wherein the frequency converter is connected to the second electric signal source; and a Goertzel filter bank for the demodulation of the first intermediate frequency signal in order to obtain a first demodulated signal, and for the demodulation of the second intermediate frequency signal in order to obtain a second demodulated signal. a frequency generator for generating a further electric signal with a third frequency, wherein the first electric signal source is embodied to generate the first electric signal on the basis of the further electric signal, and wherein the second electric signal source is embodied to generate the second electric signal on the basis of the further electric signal, wherein the frequency generator comprises a master oscillator of a microcontroller a primary coil for generating an alternating magnetic field with the first frequency; a first secondary coil and a second secondary coil, wherein the first secondary coil and the second secondary coil can each be magnetically coupled to the primary coil by means of the position transmitter, and wherein a third electric signal can be induced in the first secondary coil and a fourth electric signal can be induced in the second secondary coil by the generated alternating magnetic field; a frequency converter for converting the third electric signal into a first intermediate frequency signal and for converting the fourth electric signal into a second intermediate frequency signal, wherein the frequency converter is connected to the second electric signal source; and a Goertzel filter bank for the demodulation of the first intermediate frequency signal in order to obtain a first demodulated signal, and for the demodulation of the second intermediate frequency signal in order to obtain a second demodulated signal.