Wireless telemetry between wellbore tools

An embodiment of a wireless telemetry system for providing signal communication across a wired-communication gap in a bottom-hole assembly ("BHA"), the BHA having an upper portion and a lower portion separated by the wired-communication gap, includes an upper transceiver positioned in the upper portion and in signal communication with a surface telemetry system and a lower transceiver positioned in the lower portion and in signal communication with a drilling tool, the upper and the lower transceivers in signal communication with one another via wireless induction telemetry. Each transceiver may include an antenna that is positioned within the bore of a drill collar adjacent to a thinned wall section in the drill collar. The thinned wall section may include one or more of increasing an inside diameter relative to a base inside diameter of the bore and decreasing an outside diameter relative to a base outside diameter of the drill collar.