Fourier Series/ transform demonstration

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SUMMARY

The discussion centers on the confusion surrounding the notation used in Fourier Series and Fourier Transform, specifically the differences between X(jω), X[e^jω], X(ω), and X(f). Peter seeks clarity on why different classes utilize varying notations and how this impacts the understanding of continuous and discrete signals. He expresses a willingness to delve into the mathematics to grasp these concepts fully, indicating that a solid understanding of Fourier analysis is crucial for comprehending related topics like Laplace and Z transforms.

PREREQUISITES
  • Understanding of Fourier Series and Fourier Transform concepts
  • Familiarity with continuous and discrete signals
  • Basic knowledge of complex numbers and their representations
  • Foundational knowledge in Signals and Systems
NEXT STEPS
  • Study the differences between Fourier Series and Fourier Transform in detail
  • Learn about the implications of using X(jω) versus X(f) in signal analysis
  • Explore the mathematical foundations of Laplace and Z transforms
  • Review applications of Fourier analysis in telecommunications
USEFUL FOR

Students and professionals in electrical engineering, particularly those studying Signals and Systems or Telecommunications, who seek to clarify the mathematical notations and concepts related to Fourier analysis.

MrAlbot
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Hey guys!

if anyone can help me I guess it is you! :)

I'm trying to find the Fourier Series demonstration to continuous and periodic functions.

I don't understand why people keep using X(jw) and X[e^jw] and even sometimes X(w) and X(f)

If anyone can help me I'm really not understanding that!

Best regards

Peter
 
Last edited:
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I'm trying to understand why in my Signals and Systems they use X(jw) (and X[e^jw] in disrete signals) and in my telecomunications class they use X(f) and what does it change, and why can they change that. I have no problem going into deep mathematics if that means understanding it. I feel like only after understanding this Fourier series/transform Laplace and Z transform will make sense in my head and I'll be able to sleep at night if I get this right into my head. ^^

Thanks again.
 
Last edited:

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