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Exploring Fourier Transform and Fourier Series Approximation Numerically

  • Sujaul Chowdhury,
  • Abdullah Al Sakib

摘要

This chapter contains practical demonstrations on numerically obtaining Fourier transform of given numerical data. In particular, we demonstrate how to obtain the frequencies that are present in the data numerically using what is called discrete Fourier transform. We also demonstrate how to numerically obtain Fourier series approximation to any function. Programs were written in Mathematica in this regard.