Fourier Series

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Fourier Series Transform

• Synoptic Table
• By Fabio Urbani
• Department of
• Engineering Technology

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Periodic Functions
Where f(x) is periodic with period T and defined
for -? ?
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Odd and Even Functions
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Complex Exponential Form
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Fourier Integral
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Fourier Integral conditions

• Fourier Integral of f converges to f(x) at every
  point x at which f is continuos, and to the mean
  value(1) at every point at which f is discontinuos

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Fourier Transform
Fourier Transform
Inversion Formula
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Fourier Transform Properties 1
Linearity
Nth Derivative
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Fourier Transform Properties 2
Convolution
Translation x-shift ?-shift
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Table of Fourier Transforms
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Table of Fourier Transforms