An aperiodically overlapping spiral-wrapped cable shield system includes a cable having cable components such as a pair of conductors, at least one insulator surrounding the pair of conductors, and at least one drain wire. The cable also includes a cable shield that is spirally wrapped around the cable components with a varying wrap pitch that provides a plurality of overlapping cable shield portions with varying overlap areas. When signals are transmitted using the cable components in the cable, the varying overlap areas of the plurality of overlapping cable shield portions create a plurality of varying LC circuits that are configured to generate a resonance that does not exceed a signal integrity resonance threshold for a signals.