The invention relates to a magnetic field sensor arrangement that comprises at least one sensing circuit comprising Giant magnetoresistive (GMR) elements. At least one of the GMR elements is at least partially housed in a shielding or flux concentrating first material that reduces or amplifies, respectively, the magnetic field impinging on them, while at least one other GMR element is not housed in such material, or is housed in a material having an opposite effect of the first material. The magnetic field sensor further comprises a measurement circuit that is configured for voltage measurement between different points of the GMR sensing circuit in order to derive the electric impedance between the different measurement points. The magnetic field sensor further comprises an evaluation circuit that is configured to evaluate the measured impedances and the relations of the measured impedances in order to derive a signal that indicates the level of an applied magnetic field.
