Scaling free CORDIC algorithm implementation of sine and cosine function

A. S N Mokhtar, Md. Mamun Ibne Reaz, Kalaivani Chell, M. A. Mohd Ali

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

Original languageEnglish
Title of host publicationLecture Notes in Engineering and Computer Science
Pages926-929
Number of pages4
Volume2 LNECS
Publication statusPublished - 2013
Event2013 World Congress on Engineering, WCE 2013 - London
Duration: 3 Jul 20135 Jul 2013

Other

Other2013 World Congress on Engineering, WCE 2013
CityLondon
Period3/7/135/7/13

Fingerprint

Digital computers
Taylor series

Keywords

  • Cosine/sine
  • FPGA
  • Scaling-free CORDIC algorithm

ASJC Scopus subject areas

  • Computer Science (miscellaneous)

Cite this

Mokhtar, A. S. N., Ibne Reaz, M. M., Chell, K., & Mohd Ali, M. A. (2013). Scaling free CORDIC algorithm implementation of sine and cosine function. In Lecture Notes in Engineering and Computer Science (Vol. 2 LNECS, pp. 926-929)

Scaling free CORDIC algorithm implementation of sine and cosine function. / Mokhtar, A. S N; Ibne Reaz, Md. Mamun; Chell, Kalaivani; Mohd Ali, M. A.

Lecture Notes in Engineering and Computer Science. Vol. 2 LNECS 2013. p. 926-929.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Mokhtar, ASN, Ibne Reaz, MM, Chell, K & Mohd Ali, MA 2013, Scaling free CORDIC algorithm implementation of sine and cosine function. in Lecture Notes in Engineering and Computer Science. vol. 2 LNECS, pp. 926-929, 2013 World Congress on Engineering, WCE 2013, London, 3/7/13.
Mokhtar ASN, Ibne Reaz MM, Chell K, Mohd Ali MA. Scaling free CORDIC algorithm implementation of sine and cosine function. In Lecture Notes in Engineering and Computer Science. Vol. 2 LNECS. 2013. p. 926-929
Mokhtar, A. S N ; Ibne Reaz, Md. Mamun ; Chell, Kalaivani ; Mohd Ali, M. A. / Scaling free CORDIC algorithm implementation of sine and cosine function. Lecture Notes in Engineering and Computer Science. Vol. 2 LNECS 2013. pp. 926-929
@inproceedings{9187b4839c6449269246c5ffc5e3f391,
title = "Scaling free CORDIC algorithm implementation of sine and cosine function",
abstract = "Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.",
keywords = "Cosine/sine, FPGA, Scaling-free CORDIC algorithm",
author = "Mokhtar, {A. S N} and {Ibne Reaz}, {Md. Mamun} and Kalaivani Chell and {Mohd Ali}, {M. A.}",
year = "2013",
language = "English",
isbn = "9789881925282",
volume = "2 LNECS",
pages = "926--929",
booktitle = "Lecture Notes in Engineering and Computer Science",

}

TY - GEN

T1 - Scaling free CORDIC algorithm implementation of sine and cosine function

AU - Mokhtar, A. S N

AU - Ibne Reaz, Md. Mamun

AU - Chell, Kalaivani

AU - Mohd Ali, M. A.

PY - 2013

Y1 - 2013

N2 - Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

AB - Coordinate Rotation Digital Computer (CORDIC) algorithm is an established method in complex arithmetic function discovery using shift and add operations. An absolute Scaling-free CORDIC algorithm for cosine and sine function computation function has been implemented. A combination of third order approximation Taylor series and leading-one-bit detection algorithm has been adopted in this implementation. Seven (7) iterations were required for a 16- bits iterative architecture implementation of the proposed algorithm. The synthesis result shows that the algorithm is suitable for high-speed computational applications.

KW - Cosine/sine

KW - FPGA

KW - Scaling-free CORDIC algorithm

UR - http://www.scopus.com/inward/record.url?scp=84887952745&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887952745&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887952745

SN - 9789881925282

VL - 2 LNECS

SP - 926

EP - 929

BT - Lecture Notes in Engineering and Computer Science

ER -