| 2/2014 - 19 |
An Area Efficient Composed CORDIC ArchitectureAGUIRRE-RAMOS, F.   , MORALES-REYES, A. , CUMPLIDO, R. , FEREGRINO-URIBE, C. |
Extra paper information in    |
| Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF  (691 KB) | Citation | Downloads: 805 | Views: 1,670 |
Author keywords
digital systems, computer architecture, field programmable gate arrays, signal processing, circuit optimization
References keywords
cordic(15), systems(10), circuits(5), architecture(5), algorithm(5), parallel(4), adaptive(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2014-05-31
Volume 14, Issue 2, Year 2014, On page(s): 113 - 116
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2014.02019
Web of Science Accession Number: 000340868100019
SCOPUS ID: 84901821988
Abstract
This article presents a composed architecture for the CORDIC algorithm. CORDIC is a widely used technique to calculate basic trigonometric functions using only additions and shifts. This composed architecture combines an initial coarse stage to approximate sine and cosine functions, and a second stage to finely tune those values while CORDIC operates on rotation mode. Both stages contribute to shorten the algorithmic steps required to fully execute the CORDIC algorithm. For comparison purposes, the Xilinx CORDIC logiCORE IP and previously reported research are used. The proposed architecture aims at reducing hardware resources usage as its key objective. |
| References | | | Cited By «-- Click to see who has cited this paper |
| [1] J. E. Volder, "The CORDIC Trigonometric Computing Technique," IEEE Transactions on Electronic Computers, vol. EC-8, no. 3, pp. 330-334, Sep. 1959. [CrossRef] [SCOPUS Times Cited 1999] [2] J.S. Walther, "A unified algorithm for elementary functions", in Proc. AFIPS Conf., vol. 38, 1971, pp. 385-389. [CrossRef] [3] C.-C. Sun, P. Donner, and J. Götze, "VLSI implementation of a configurable IP Core for quantized discrete cosine and integer transforms," International Journal of Circuit Theory and Applications, vol. 40, no. 11, pp. 1107-1126, Nov. 2012. [CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 16] [4] J.-H. Lee, T.-H. Cheng, and H.-C. Chen, "Design of IIR linear-phase nonuniform-division filter banks with signed powers-of-two coefficients," International Journal of Circuit Theory and Applications, vol. 37, no. 7, pp. 811-834, Sep. 2009. [CrossRef] [Web of Science Times Cited 7] [SCOPUS Times Cited 7] [5] M. Abo-Zahhad and M. F. Fahmy, "Synthesis of low-sensitivity orthogonal digital filters," International Journal of Circuit Theory and Applications, vol. 25, no. 6, pp. 503-520, Nov. 1997. [CrossRef] [6] Maharatna, K., Banerjee, S., Grass, E., Krstic, M., & Troya, A. (2005). Modified virtually scaling-free adaptive CORDIC rotator algorithm and architecture. IEEE Transcations on Circuits and Systems Video Technology, 11(11), 1463-1474. [CrossRef] [Web of Science Times Cited 74] [SCOPUS Times Cited 108] [7] B. Lakshmi and a. S. Dhar, "VLSI architecture for low latency radix-4 CORDIC," Computers & Electrical Engineering, vol. 37, no. 6, pp. 1032-1042, Nov. 2011. [CrossRef] [Web of Science Times Cited 74] [SCOPUS Times Cited 108] [8] T. K. Rodrigues and E. E. Swartzlander Jr., "Adaptive CORDIC: Using Parallel Angle Recoding to Accelerate Rotations," IEEE Transactions on Computers, vol. 59, no. 4, pp. 522-531, Apr. 2010. [CrossRef] [Web of Science Times Cited 30] [SCOPUS Times Cited 36] [9] J.-A. Lee and T. Lang, "Constant-factor redundant CORDIC for angle calculation and rotation," Computers, IEEE Transactions on, vol. 41, no. 8, pp. 1016-1025, 1992. [CrossRef] [Web of Science Times Cited 54] [SCOPUS Times Cited 63] [10] K. Maharatna, S. Banerjee, E. Grass, M. Krstic, and A. Troya, "Modified virtually scaling-free adaptive CORDIC rotator algorithm and architecture," IEEE Transactions on Circuits and Systems for Video Technology, vol. 15, no. 11, pp. 1463-1474, Nov. 2005. [CrossRef] [Web of Science Times Cited 74] [SCOPUS Times Cited 108] [11] T. Juang, "Low Latency Angle Recoding Methods for the Higher Bit-Width Parallel CORDIC Rotator Implementations," IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 55, no. 11, pp. 1139-1143, Nov. 2008. [CrossRef] [Web of Science Times Cited 12] [SCOPUS Times Cited 16] [12] T.-B. Juang, S.-F. Hsiao, and M.-Y. Tsai, "Para-CORDIC: Parallel CORDIC Rotation Algorithm," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 51, no. 8, pp. 1515-1524, Aug. 2004. [CrossRef] [Web of Science Times Cited 57] [SCOPUS Times Cited 85] [13] S. Aggarwal and K. Khare, "Leading One Detection Hyperbolic CORDIC with Enhanced Range of Convergence," Journal of Signal Processing Systems, Feb. 2012. [CrossRef] [Web of Science Times Cited 1] [SCOPUS Times Cited 2] [14] D.-M. Ross, S. Miller, M. Sima, and M. McGuire, "Exploration of sign precomputation-based CORDIC in reconfigurable systems," in 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR), 2011, pp. 2186-2191. [CrossRef] [SCOPUS Times Cited 3] [15] M. Kuhlmann and K. K. Parhi, "P-CORDIC?: A Precomputation Based Rotation," EURASIP Journal on Applied Signal Processing, vol. 2002, no. 1, pp. 936-943, 2002. [CrossRef] [Web of Science Times Cited 30] [SCOPUS Times Cited 39] [16] B. Gisuthan, "Flat CORDIC: a unified architecture for high-speed generation of trigonometric and hyperbolic functions," in Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems, 2000, 2000, pp. 1414-1417. [CrossRef] [17] M. S. Sinith and K. Jismi, "A comparison of pipelined parallel and iterative CORDIC design on FPGA," in 2010 5th International Conference on Industrial and Information Systems, 2010, no. i, pp. 239-243. [CrossRef] [SCOPUS Times Cited 15] [18] Xilinx Inc., "LogiCORE IP CORDIC v4.0. Product Specification, DS249," 2011. [19] J. Xu, T. Arslan, D. Wan, and Q. Wang, "GPS attitude determination using a genetic algorithm," in Evolutionary Computation, Proceedings of the 2002 Congress on, 2002, vol. 1, pp. 998-1002. [CrossRef] [SCOPUS Times Cited 26] [20] E. F. Stefatos and T. Arslan, "High-performance adaptive GPS attitude determination VLSI architecture," in Signal Processing Systems, 2004. SIPS 2004. IEEE Workshop on, 2004, pp. 233-238. [CrossRef] Web of Science® Citations for all references: 426 TCR SCOPUS® Citations for all references: 2,631 TCR Web of Science® Average Citations per reference: 20 ACR SCOPUS® Average Citations per reference: 125 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-18 14:20 in 138 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Copyright ©2001-2024
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
