A positioning system includes a device, having an antenna and a reflector with a known position proximate to the antenna, that transmits at least an electromagnetic pulse having a carrier signal frequency. The device receives a return signal over a period of time, wherein the return signal includes a return pulse from an object within a radar detection area of the device and at least one multi-path pulse. The device processes the return signal so as to isolate the return pulse and the at least one multi-path pulse from the return signal. The device determines a range from the device to the object and the position of the device relative to the object. The range is determined in accordance with a time of arrival of the return pulse and the position is determined in accordance with a time of arrival of the at least one multi-path pulse.