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Evaluating Fourier Coefficients of a Sawtooth Function

This article by Walter R. Bloom explores the evaluation of Fourier coefficients for a sawtooth function. It discusses the underlying principles of Fourier transforms, the significance of evaluating the integral, and the assumptions required during the process. The challenges associated with a clipped sinusoid in Fourier analysis are examined, as well as the implications for signal processing and waveform representation. Ideal for students and professionals in engineering, mathematics, and computational fields, this work elucidates the mathematical foundations necessary for understanding Fourier analysis.

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Evaluating Fourier Coefficients of a Sawtooth Function

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  1. COMPUTING FOURIER COEFFICIENTS Walter R Bloom w.bloom@murdoch.edu.au

  2. Fourier coefficients

  3. A sawtooth function

  4. Sawtooth function

  5. Evaluating the integral

  6. Evaluating the integral

  7. Evaluating the integral

  8. Fourier transforms

  9. Clipped sinusoid

  10. Fourier transform

  11. Assumptions

  12. Dummy assumptions

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