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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

Fourier Series With Spectral and Wave Number Decomposition

Jung-Hua Chou1 and Raylin Wu1
  • 1 Department of Engineering Science, National Cheng Kung University Tainan, Taiwan, 701, Taiwan

Abstract

In this study, the generic nature of Fourier series is pointed out and the requirement of dimensional homogeneity for physical systems is emphasized. By suitable application of non-dimensional variables, both time versus frequency and spatial versus wave number decomposition of Fourier series are included properly to put the physics involved into the right physical meanings. Furthermore, the high frequency noise features through differentiation and integration are revealed nicely by the Fourier series representation of a signal including noise.

American Journal of Applied Sciences
Volume 1 No. 4, 2004, 258-260

DOI: https://doi.org/10.3844/ajassp.2004.258.260

Submitted On: 28 April 2005 Published On: 31 December 2004

How to Cite: Chou, J. & Wu, R. (2004). Fourier Series With Spectral and Wave Number Decomposition . American Journal of Applied Sciences, 1(4), 258-260. https://doi.org/10.3844/ajassp.2004.258.260

Open AccessCopyright: © 2004 Jung-Hua Chou and Raylin Wu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fourier Series
  • Time Versus Frequency
  • Spatial Versus Wave Number Decomposition