A system and a method are described herein for demagnetizing a region of a magnetic structure. In one embodiment, the system comprises: (a) a pulsed magnetizer; and (b) at least one magnetizing coil that receives a sequence of discrete current with continually decreasing current values from the pulsed magnetizer and outputs a sequence of discrete magnetizing fields with continually decreasing field strengths to overwrite and at least partly demagnetize the region of the magnetic structure. The at least one magnetizing coil is located adjacent to the region of the magnetic structure.