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The CORDIC method of calculating the exponential function

Data publikacji: 27.04.2018

Czasopismo Techniczne, 2018, Volume 4 Year 2018 (115), s. 119 - 126

https://doi.org/10.4467/2353737XCT.18.059.8371

Autorzy

,
Leonid Moroz
Department of Security of Information Technology, Lviv Polytechnic National University, Ukraine
Wszystkie publikacje autora →
Volodymyr Samotyy
Department of Automatic Control and Information Technology, Faculty of Electrical and Computer Engineering, Cracow University of Technology; Department of Computerized Automatic Systems, Lviv Polytechnic National University
Wszystkie publikacje autora →

Tytuły

The CORDIC method of calculating the exponential function

Abstrakt

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.

Bibliografia

[1] Walther J.S., A unified algorithm for elementary functions, [in:] Proc. Spring Joint Comput. Conf., 1971, 379–385.
[2] Walther J.S., Elementary floating-point Cordic function processor and shifter, US Patent 3766370, 1973.
[3] Muller J.M., Elementary functions: algorithms and implementation. Birkhauser Boston, 2nd edition, 2006.
[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.
[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.
[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.
[7] Pottathuparambil R., Sass R., Implementation of a CORDIC based double-precision exponential core on an FPGA, Proceedings of RSSI, 2008, 1–4.
[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.
[9] Volder J.E., The CORDIC Trigonometric Computing Technique, IRE Transactions on Electronic Computers, 1959, 330–334.
[10] Kantabutra V., Apparatus For Computing Exponential And Trigonometric Functions, United States Patent, US006055553A, Apr. 25, 2000.
 

Informacje

Informacje: Czasopismo Techniczne, 2018, Volume 4 Year 2018 (115), s. 119 - 126

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Polski:

The CORDIC method of calculating the exponential function

Angielski:

The CORDIC method of calculating the exponential function

Autorzy

Department of Security of Information Technology, Lviv Polytechnic National University, Ukraine

Department of Automatic Control and Information Technology, Faculty of Electrical and Computer Engineering, Cracow University of Technology; Department of Computerized Automatic Systems, Lviv Polytechnic National University

Publikacja: 27.04.2018

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Leonid Moroz (Autor) - 50%
Volodymyr Samotyy (Autor) - 50%

Korekty artykułu:

-

Języki publikacji:

Angielski

Liczba wyświetleń: 2210

Liczba pobrań: 1430

<p> The CORDIC method of calculating the exponential function</p>