1. bookVolume 115 (2018): Issue 4 (April 2018)
Journal Details
License
Format
Journal
eISSN
2353-737X
First Published
20 May 2020
Publication timeframe
1 time per year
Languages
English
Open Access

The CORDIC Method of Calculating the Exponential Function

Published Online: 21 May 2020
Volume & Issue: Volume 115 (2018) - Issue 4 (April 2018)
Page range: 119 - 126
Received: 28 Mar 2018
Journal Details
License
Format
Journal
eISSN
2353-737X
First Published
20 May 2020
Publication timeframe
1 time per year
Languages
English
Abstract

This article presents a modern method of calculating the exponential function exp(x) based on the CORDIC iterative algorithm. The proposed solution is implemented in the form of a single iterative equation, which results in the simplification of the electronic version of this algorithm, thus reducing the cost of the device. It is important to point out that the accuracy of the calculation of the analysed function is not lost.

Keywords

[1] Walther J.S., A unified algorithm for elementary functions, [in:] Proc. Spring Joint Comput. Conf., 1971, 379–385.Search in Google Scholar

[2] Walther J.S., Elementary floating-point Cordic function processor and shifter, US Patent 3766370, 1973.Search in Google Scholar

[3] Muller J.M., Elementary functions: algorithms and implementation. Birkhauser Boston, 2nd edition, 2006.Search in Google Scholar

[4] Hu X., Huber R., Bass S., Expanding the Range of Convergence of the CORDIC Algorithm, IEEE Transactions on Computers, Vol. 40, 1, 1991, 13–21.10.1109/12.67316Search in Google Scholar

[5] Llamocca-Obregоn D.R., Agurto-Rіos C.P., A Fixed-Point Implementation of the Expanded Hyperbolic CORDIC Algorithm, Latin American Appl. res., Vol. 37, 1, 2007, 1–10.Search in Google Scholar

[6] Sudha J., Hanumantharaju M.C., Venkateswarulua V., Jayalaxmi H., A Novel Method for Computing Exponential Function Using CORDIC Algorithm, Procedia Engineering, 30, 2012, 519–528.10.1016/j.proeng.2012.01.893Search in Google Scholar

[7] Pottathuparambil R., Sass R., Implementation of a CORDIC based double-precision exponential core on an FPGA, Proceedings of RSSI, 2008, 1–4.Search in Google Scholar

[8] Boudabous A., Ghozzi F., Kharrat M., Masmoudi N., Implementation of hyperbolic functions using cordic algorithm, in Proc. of the 16th Inter. Conf. on Microelectronics, 2004, 738–741.Search in Google Scholar

[9] Volder J.E., The CORDIC Trigonometric Computing Technique, IRE Transactions on Electronic Computers, 1959, 330–334.10.1109/TEC.1959.5222693Search in Google Scholar

[10] Kantabutra V., Apparatus For Computing Exponential And Trigonometric Functions, United States Patent, US006055553A, Apr. 25, 2000.Search in Google Scholar

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