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A Novel Trilateration Algorithm for Localization of a Transmitter/Receiver Station in a 2D Plane using Analytical Geometry

Trilateration is the name given to the Algorithm used in Global Positioning System (GPS) technology to localize the position of a Transmitter/Receiver station (also called a Blind Node) in a 2D plane, using the positional knowledge of three non-linearly placed Anchor Nodes. For instance, it may be desired to locate the whereabouts of a mobile phone (Blind Node) lying somewhere within the range of three radio signal transmitting towers (Anchor Nodes). There are various Trilateration Algorithms in the literature that achieve this end using among other methods, linear algebra. This paper is a direct spin off from prior work by the same author, titled “A Mathematical Treatise on Polychronous Wavefront Computation and its Applications into Modeling Neurosensory Systems”. The Geometric Algorithm developed there was originally intended to localize the position of a special class of neurons called Coincidence Detectors in the Central Neural Field. A general outline of how the same methodology can be adapted for the purpose of Trilateration, is presented here.