Implementation of hyperbolic functions using CORDIC algorithm

Author

Boudabous, Anis ; Ghozzi, Fahmi ; Kharrat, M. Wajdi ; Masmoudi, Nouri

Author_Institution

Lab. of Electron. & Inf. Technol., Nat. Eng. Sch. of Sfax, Tunisia

fYear

2004

fDate

6-8 Dec. 2004

Firstpage

738

Lastpage

741

Abstract

In this paper, we present a new design of hyperbolic functions in order to implement logarithm and exponential functions using CORDIC algorithm (coordinate rotation digital computer). FPGA enable effective implementation of CORDIC algorithm in hardware, which is usually associated with "shift & add" hardware primitives. A comparison with Taylor precision was done to choose the best equation precision order. To valid CORDIC implementation, correction was introduced to remain in logarithm and exponential convergence range. We present simulation and synthesis results and comparison using ModelSim and Synplify_Pro Xilinx tools.

Keywords

circuit simulation; convergence; digital arithmetic; field programmable gate arrays; hardware description languages; hyperbolic equations; logic design; CORDIC algorithm; FPGA; ModelSim tool; Synplify_Pro Xilinx tool; circuit simulation; coordinate rotation digital computer; exponential convergence; exponential function; hardware description languages; hyperbolic function design; logarithmic convergence; logarithmic function; Algorithm design and analysis; Calculators; Calculus; Computational modeling; Convergence; Design engineering; Equations; Field programmable gate arrays; Hardware; Information technology;

fLanguage

English

Publisher

ieee

Conference_Titel

Microelectronics, 2004. ICM 2004 Proceedings. The 16th International Conference on

Print_ISBN

0-7803-8656-6

Type

conf

DOI

10.1109/ICM.2004.1434772

Filename

1434772