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Introduction to Frequency Analysis: The Fourier Transformation

  • Jérôme Sueur
Part of the Use R! book series (USE R)

Abstract

The Fourier transformation is a key mathematical tool that connects the time and frequency domains such that sound can be parametrized in terms of frequency. The theory of the different Fourier transforms, including the inverse transform, is presented to facilitate the reading of the following chapters. Each mathematical equation is translated into R so that the basic principles can be understood and unmystified. This discovery of the Fourier transformation is accompanied with the presentation of the frequency spectrum, the phase spectrum, the different frequency scales, the Fourier window shapes, and the cepstrum.

Audio files:None

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Jérôme Sueur
    • 1
  1. 1.Muséum National d’Histoire naturelleParisFrance

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