Metal detectors include a sense coil coupled to an analog to digital converter that produces a numeric representation of an electrical signal associated with a conductive object situated in an active region of a sense coil. The numeric representation is processed to obtain a noise contribution associated with random noise, fixed pattern noise, and/or thermal drift. The noise is subtracted from the numeric representation to produce a numeric difference. The numeric difference includes contributions associated with conductive objects located in a sense volume defined by the sense coil. The numeric difference (or the numeric representation) can be digitally processed with, for example, a matched filter to enhance the conductive object contribution. The matched filter can be based on a measured sense coil speed or can be based on typical sense coil speeds.