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Fourier Series

Fourier Series. 4.2-4.3. Motivation. (Time Domain Representation). (Frequency Domain Representation). Goal. Connection to Calc. (Taylor Series). Introductory Example. Details. Fourier Coefficients. Methods of Calculating the Fourier Series Coefficients.

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Fourier Series

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  1. Fourier Series 4.2-4.3

  2. Motivation (Time Domain Representation) (Frequency Domain Representation)

  3. Goal

  4. Connection to Calc (Taylor Series)

  5. Introductory Example

  6. Details

  7. Fourier Coefficients

  8. Methods of Calculating the Fourier Series Coefficients

  9. Fourier Series of Impulse Train

  10. Fourier Series of Impulse Train

  11. Fourier Series of a Square Wave Co is a DC average.

  12. Details (1)

  13. Details (2)

  14. Details (3)

  15. Gibbs Phenomenon

  16. Gibbs Phenomenon (2)

  17. Fourier Series Coefficient K=-5, Ck=2jV/(5π) K=-3, Ck=2jV/(3π) K=-1, Ck=2jV/π K=1, Ck=-2jV/π K=3, Ck=-2jV/(3π) K=5, Ck=-2jV/(5π)

  18. Frequency Spectra K=-5, Ck=2jV/(5π) K=-3, Ck=2jV/(3π) K=-1, Ck=2jV/π K=1, Ck=-2jV/π K=3, Ck=-2jV/(3π) K=5, Ck=-2jV/(5π)

  19. Use Matlab to Calculate Fourier Series Coefficient Integration from 0.5 to 1

  20. Different Representations of Fourier Series

  21. Rectangular Pulse

  22. Sinc Function

  23. Spectrum for a Rectangular Pulse Train

  24. Peak Values of Sinc x

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