A system for detecting a position of an object includes a position sensor and a demodulator. The position sensor receives a first excitation signal, senses a displacement of the object with respect to a reference point based on the first excitation signal, and generates first and second sense signals based on the first excitation signal. The demodulator receives the first sense signal and the second sense signal from the position sensor, performs a first cross-correlation calculation between the first sense signal and a second excitation signal and a second cross-correlation calculation between the second sense signal and the second excitation signal, determines displacement of the object with respect to the reference point based on results of the first and second cross-correlation calculations, and determine a position of the object based on the displacement.