On the spatial localization of a wireless transmitter from a multisensor receiver

We consider the fundamental ability of multisensor receiver of finite spatial extent to localize a wireless transmitter in space. Spatial localization is identified with a multisensor receiver´s ability to distinguish source transmitters from different regions in space based on imperfect measurements within the finite spatial extent spanned by the receiver´s sensors. Two transmitters positioned within a determined spatial region cannot be distinguished or resolved according to a given measurement threshold. The space outside that occupied by the receiver is shown to be tiled by a finite number of such regions. Further, the regions depend on whether intensity information only is used or whether there is both magnitude and phase information available. Numerical examples are given based on a novel tiling algorithm.