Fourier series equation for a even square wave

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SUMMARY

The discussion focuses on deriving the Fourier series equation for an even square wave defined by the function F(t) over the interval T=4 ms. The user successfully calculated the constant term A0 but is struggling with the coefficients An for the first 10 harmonic components. The conversation emphasizes the importance of integration techniques in solving Fourier series problems, particularly for non-sinusoidal waveforms.

PREREQUISITES
  • Understanding of Fourier series and harmonic analysis
  • Proficiency in integration techniques, particularly definite integrals
  • Familiarity with the properties of even functions
  • Basic knowledge of square waveforms and their characteristics
NEXT STEPS
  • Study the derivation of Fourier series coefficients for square waves
  • Practice integration techniques relevant to Fourier analysis
  • Explore the concept of harmonic components in signal processing
  • Learn about the convergence of Fourier series for different types of functions
USEFUL FOR

Students and professionals in electrical engineering, applied mathematics, and physics who are working with signal processing and waveform analysis will benefit from this discussion.

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Can someone please help me with a Fourier series equation for a even square wave shown below:

F(t) = 0 when -2ms <t < -1ms
k when -1ms <t < 1ms
0 when 1ms <t < 2ms T=4

Im after finding the first 10 harmonic components. To be honest struggling with this one integration is not my strong point.
 
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Show us some work and what integral you are stuck on.
 
Hello, sorry for the late reply. I believe I have succesfully found Ao in my equation but An I am struggling with. I have attached my workings out if you may take a look it would be much appreciated.
 

Attachments

  • Fourier series - finding An.jpg
    Fourier series - finding An.jpg
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  • fourier series - finding Ao.jpg
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