A method for generating a movement signal of a body part, of which at least a portion is undergoing a cardiac movement, includes providing a pilot tone signal acquired from the body part by a magnetic resonance receiver coil arrangement. A demixing matrix is calculated from a calibration portion of the Pilot Tone signal using an independent component analysis algorithm. The independent component corresponding to the cardiac movement is selected. The demixing matrix is applied to further portions of the pilot tone signal to obtain a movement signal representing the cardiac movement. An, adaptive stochastic, or model-based filter is applied to the signal representing the cardiac movement, to obtain a filtered movement signal.