A sensor arrangement includes, in some embodiments, a magnetostrictive element configured to output magnetic signals in response to a magnetic field. A sensor is configured to sense a value of a property of a selected object, and to provide an electrical resistance that varies in response to variations in the sensed value. The sensor cooperates with the magnetostrictive element to vary the frequency of the signals output by the magnetostrictive element based on variations of the electrical resistance provided by the sensor. A transmitter provides an alternating magnetic field to the magnetostrictive element, and a receiver picks up the magnetic signals generated by the magnetostrictive element. The frequency of the signals received is correlated with the sensor resistance, and the resistance is correlated to a value of the property sensed.