A Synthesizable VHDL Model of the Exact Solution for Three-dimensional Hyperbolic Positioning System. Issue 2 (2002)

• Record Type: Journal Article
• Authors: Bucher, Ralph; Misra, D.
• Is Part Of: VLSI design. Volume 15:Issue 2(2002)
• Page Start: 507
• Page End: 520
• Publication Date: 2002
• Subjects: Integrated circuits -- Very large scale integration -- Periodicals; 621.395
• DOI: 10.1080/1065514021000012129
• Languages: English
• ISSNs: 1065-514X

Abstract

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.