Document Type


Date of Award

Fall 1-31-2002

Degree Name

Master of Science in Electrical Engineering - (M.S.)


Electrical and Computer Engineering

First Advisor

Durgamadhab Misra

Second Advisor

William N. Carr

Third Advisor

Symeon Papavassiliou


This thesis presents a detailed derivation of a set of equations needed to locate the three dimensional position of a mobile given the locations of four fixed stations (like a global positioning system (GPS) satellite or a base station in a cell) and the signal time of arrival (TOA) from the mobile to each station. From these derived equations, a synthesizable VHDL model was developed and simulated using IEEE numen*c_std package. All the inputs and outputs were described by 32 bit vectors. From the simulations, it was observed that in the best case the mobile position was off by I meter and in the worst case the position was off by 36 meters. This model was synthesized with cadence tools and the total number of gates produced was 2.7 million.