A system includes a magnet having an axis of rotation, the magnet being configured to produce a magnetic field. The system further includes a plurality of magnetoresistive sensor elements, each of the magnetoresistive sensor elements having a magnetic free layer configured to generate a vortex magnetization pattern in the magnetic free layer, and the magnetoresistive sensor elements being configured to produce output signals in response to the magnetic field. A rotation angle of a rotating element to which the magnet is coupled may be determined using the plurality of output signals.