27. Efficient Approximations for the Arctangent Function

  1. Richard G. Lyons
  1. Sreeraman Rajan,
  2. Sichun Wang,
  3. Robert Inkol and
  4. Alain Joyal

Published Online: 11 JUN 2012

DOI: 10.1002/9781118316948.ch27

Streamlining Digital Signal Processing: A Tricks of the Trade Guidebook, Second Edition

Streamlining Digital Signal Processing: A Tricks of the Trade Guidebook, Second Edition

How to Cite

Rajan, S., Wang, S., Inkol, R. and Joyal, A. (2012) Efficient Approximations for the Arctangent Function, in Streamlining Digital Signal Processing: A Tricks of the Trade Guidebook, Second Edition (ed R. G. Lyons), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118316948.ch27

Editor Information

  1. Besser Associates, Mountain View, California, USA

Author Information

  1. Defence Research and Development, Ottawa, Canada

Publication History

  1. Published Online: 11 JUN 2012
  2. Published Print: 22 JUN 2012

ISBN Information

Print ISBN: 9781118278383

Online ISBN: 9781118316948

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Keywords:

  • arctangent function, and efficient approximations;
  • Lagrange interpolation-based and minimax criterion-based;
  • arctangent function, in signal processing real-time applications;
  • third-order approximation, and least error among approximations;
  • four-quadrant arctangent approximations, the range extended

Summary

This chapter contains sections titled:

  • Arctangent Approximations

  • Proposed Methodology and Approximations

  • Discussion

  • Four-Quadrant Approximations

  • Conclusions

  • Editor Comments

  • References