Numerical Implementation of Fourier Transforms and Associated Problems

Authors

  • Dhammika A. Tantrigoda Department of Physics, University of Sri Jayewardenepura
  • Denushia S. Rodrigo Department of Mathematics, University of Sri Jayewardenepura

DOI:

https://doi.org/10.31357/ijms.v1i1.2234

Abstract

Fourier transforms initially used for the solution of problems in mathematical physics has today become apowerful tool of data analysis in wide spectrum of disciplines ranging from electrical engineering to socialsciences. Its widespread applications can be attributed to the development of discrete Fourier transforms inmiddle part of the last century and subsequent development of fast Fourier transform algorithms which madeits numerical implementation possible using digital computers. This paper reviews the limitations of theFourier transform technique and associated problems and provide suggestions to overcome them.

KEYWORDS: Discrete Fourier transforms, Aliasing, High Frequency Instabilities, Truncation Errors,Symmetry Relationships

Author Biographies

Dhammika A. Tantrigoda, Department of Physics, University of Sri Jayewardenepura

Department of Physics, University of Sri Jayewardenepura

Denushia S. Rodrigo, Department of Mathematics, University of Sri Jayewardenepura

Department of Mathematics, University of Sri Jayewardenepura

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Published

2015-06-23

Issue

Vol. 1 No. 1 (2014): International Journal of Multidisciplinary Studies

Section

Articles