Integration of complex exponentials

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    Complex Integration
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SUMMARY

The discussion centers on the derivation of the impulse function and its relationship with the Fourier transform, specifically referencing B.P. Lathi's work. Participants express a desire for a more formal explanation of the impulse function's origins, indicating that the derivation may be complex. The inquiry highlights the importance of understanding the Fourier transform of the impulse function as a foundational concept in signal processing and analysis.

PREREQUISITES
  • Understanding of Fourier transforms
  • Familiarity with impulse functions
  • Knowledge of complex exponentials
  • Basic principles of signal processing
NEXT STEPS
  • Study the derivation of the impulse function in signal processing
  • Explore the properties of the Fourier transform
  • Examine complex exponentials in the context of Fourier analysis
  • Review B.P. Lathi's text for formal explanations and examples
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Students and professionals in electrical engineering, signal processing, and applied mathematics who seek a deeper understanding of impulse functions and Fourier transforms.

Fedya
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Where does impulse function come from? I don’t know where to start, Euler?

(see attachment)

The book simply gives it without any explanation or derivation. Maybe the derivation is too complex for me, but I’m willing to look into it, even if it breaks my head!

Thanks in advance!
 

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Look at this backwards. What is the Fourier transform of the impulse function?
 
hamster143 said:
Look at this backwards. What is the Fourier transform of the impulse function?

Thank you for the post!

The book uses your solution (B.P. Lathi). I was just hopping for more formal one. Is there one?

Thanks
-Fedya
 

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