Systems and methods improve virtual reality and augmented reality functionality for mobile devices using radio frequency (RF) signals transmitted by a tracked device and received at four or more spatially separated antennae. These antennae are connected, wirelessly or through wired connections, to a base station. Through RF signal time of arrival information acquired at the antennae, the base station can continuously determine accurate position information of the tracked device, without lighting or line of sight limitations experienced by camera and other optical systems. As the position of the RF-transmitting tracked device is registered within a virtual environment produced by an interactive software program in communication with (or part of) the base station, the virtual viewpoint of the tracked device is controlled to reflect the relative position and orientation of the tracked device with respect to the virtual environment produced by the software program and displayed on a view screen.