Complex exponential Fourier series coefficients?

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SUMMARY

The discussion focuses on calculating complex exponential Fourier series coefficients, specifically using the formula Cn = 3/2 Sa(nπ/2)e^(-jnπ)/2. The user expresses difficulty in progressing beyond this point, indicating confusion between differentiation and integration in the calculation process. The correct coefficients are identified as 0 and 3/(jnπ). Clear steps and methodologies are essential for resolving such issues in Fourier analysis.

PREREQUISITES
  • Understanding of Fourier series and their applications
  • Familiarity with complex numbers and exponential functions
  • Knowledge of differentiation and integration techniques
  • Proficiency in using LaTeX for mathematical notation
NEXT STEPS
  • Study the derivation of Fourier series coefficients in detail
  • Learn about the properties of the sinc function (Sa(nπ/2))
  • Explore the differences between differentiation and integration in signal processing
  • Practice writing and interpreting equations using LaTeX
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This discussion is beneficial for students and professionals in mathematics, electrical engineering, and signal processing who are working with Fourier series and require clarity on coefficient calculations.

thecastlingking
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signals q.PNG


Above is a question I need some help with. I can get to a certain point, but I can't get beyond.
Can somebody with knowledge about this help?
 

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Cn = 3/2 Sa(nπ/2)e-(jnπ)/2
That is where I get up to, but I don't know what to do from there.
The answer given is: 0 and 3/(jnπ)
 
thecastlingking said:
Cn = 3/2 Sa(nπ/2)e-(jnπ)/2
That is where I get up to, but I don't know what to do from there.
The answer given is: 0 and 3/(jnπ)
You need to show your work. It looks like you differentiated instead of integrated when calculating the coefficients.
 

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