NOTE: THIS DOCUMENT IS OBSOLETE, PLEASE CHECK THE NEW VERSION: "Mathematics of the Discrete Fourier Transform (DFT), with Audio Applications --- Second Edition", by Julius O. Smith III, W3K Publishing, 2007, ISBN 978-0-9745607-4-8. - Copyright © 2017-09-28 by Julius O. Smith III - Center for Computer Research in Music and Acoustics (CCRMA), Stanford University

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Example Applications of the DFT

This chapter goes through some practical examples of FFT analysis inMatlab. The various Fourier theorems provide a ''thinking vocabulary'' for understanding elements of spectral analysis.

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Subsections

• Spectrum Analysis of a Sinusoid: Windowing, Zero-Padding, and the FFT
  • Example 1: FFT of a Simple Sinusoid
  • Example 2: FFT of a Not-So-Simple Sinusoid
  • Example 3: FFT of a Zero-Padded Sinusoid
  • Example 4: Blackman Window
  • Example 5: Use of the Blackman Window
  • Example 6: Hanning-Windowed Complex Sinusoid
    • Spectral Phase

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