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Design and Implementation Hardware Architecture for Four–Quadratic Arctangent

by Omar Zeyad
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 176 - Number 1
Year of Publication: 2017
Authors: Omar Zeyad
10.5120/ijca2017915502

Omar Zeyad . Design and Implementation Hardware Architecture for Four–Quadratic Arctangent. International Journal of Computer Applications. 176, 1 ( Oct 2017), 10-13. DOI=10.5120/ijca2017915502

@article{ 10.5120/ijca2017915502,
author = { Omar Zeyad },
title = { Design and Implementation Hardware Architecture for Four–Quadratic Arctangent },
journal = { International Journal of Computer Applications },
issue_date = { Oct 2017 },
volume = { 176 },
number = { 1 },
month = { Oct },
year = { 2017 },
issn = { 0975-8887 },
pages = { 10-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume176/number1/28515-2017915502/ },
doi = { 10.5120/ijca2017915502 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:41:21.241877+05:30
%A Omar Zeyad
%T Design and Implementation Hardware Architecture for Four–Quadratic Arctangent
%J International Journal of Computer Applications
%@ 0975-8887
%V 176
%N 1
%P 10-13
%D 2017
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The Four-Quadratic Arctangent (atan2) function is used in many fields: telecommunication to recover the phase of the signal, robotics to computing the inverse kinematic for a robot arm control system, and in general used in transformation from Cartesian to polar coordinates. In this paper an FPGA based architecture design and its implementation has been presented. The piecewise polynomial approximation method with non-uniform segmentation has been used to implement the arctangent because it is suitable in hardware implementation. It is saving in resource utilization and takes a suitable accuracy.

References
  1. Tildon H., 2011, Introduction to Circuit Analysis and Design, Springer Science & Business Media.
  2. Roberto Gutierrez and Javier Valls, 2009, Low-power fpga-implementation of atan (y/x) using look-up table methods for communication applications, Journal of Signal Processing Systems.
  3. Florent de Dinechin and Matei Istoan, 2015, Hardware Implementations of Fixed-Point Atan2, Computer Arithmetic (ARITH), 2015 IEEE 22nd Symposium on.
  4. Abhisek Ukil and etc, 2011, Fast Computation of arctangent Functions for Embedded Applications: A Comparative Analysis, Industrial Electronics (ISIE), 2011 IEEE International Symposium on.
  5. LogiCORE IP Divider Generator v3.0, www.xilinx.com, DS530 March 1, 2011.
  6. Nelson H.F. Beebe, 2017, The Mathematical-Function Computation Handbook, Springer.
  7. “Maplesoft Online helps”, http://www.maplesoft.com/support/help/
  8. Jean-Michel Muller, 2006, “Elementary Function Algorithms and Implementation”, Second Edition, Birkhauser Boston.
  9. “Spartan-6 Family Overview”, www.xilinx.com, DS160 (v2.0) October 25, 2011.
Index Terms

Computer Science
Information Sciences

Keywords

FPGA Four–Quadratic Arctangent piecewise polynomial approximation

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