A synthesizable VHDL model of the exact solution for three-dimensional hyperbolic positioning system

Document Type

Article

Publication Date

9-1-2002

Abstract

This paper presents a synthesizable VHDL model of a three-dimensional hyperbolic positioning system algorithm. The algorithm obtains an exact solution for the three-dimensional location 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. The detailed derivation of the steps required in the algorithm is presented. A VHDL model of the algorithm was implemented and simulated using the IEEE numeric_std package. Signals were described by a 32-bit vector. Simulation results predict location of the mobile is off by 1 m for best case and off by 36 m for worst case. A C++ program using real numbers was used as a benchmark for the accuracy and precision of the VHDL model. The model can be easily synthesized for low power hardware implementation.

Identifier

0036763016 (Scopus)

Publication Title

VLSI Design

External Full Text Location

https://doi.org/10.1080/1065514021000012129

ISSN

1065514X

First Page

507

Last Page

520

Issue

2

Volume

15

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