Fourier Transform: Frequency Response vs Signal X

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SUMMARY

The discussion centers on the distinction between the Frequency Response of a system, denoted as H(jω), and the Fourier Transform of a signal, represented as X(jω). The Frequency Response describes how a system responds to different frequencies, while the Fourier Transform provides a frequency domain representation of a signal. Understanding these concepts is crucial for analyzing linear time-invariant (LTI) systems and their behavior in the frequency domain.

PREREQUISITES
  • Understanding of Linear Time-Invariant (LTI) systems
  • Familiarity with Fourier Transform concepts
  • Basic knowledge of complex frequency variables (jω)
  • Convolution theorem in signal processing
NEXT STEPS
  • Study the properties of Frequency Response in control systems
  • Learn about the Convolution theorem and its applications
  • Explore practical examples of Fourier Transform in signal analysis
  • Investigate the implications of H(jω) and X(jω) in system design
USEFUL FOR

Students in electrical engineering, signal processing enthusiasts, and professionals involved in system analysis and design will benefit from this discussion.

feely
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Hello.

I have a homework question here that I just can't seem to answer, and I am hoping if I can get pointed in the correct direction.

The question asks
"What is the difference between Frequency Responce of a system H(jw) and the Fourier Transform of a signal X(jw)?"

It would be great if someone could point me in the right direction with this one. I have been thinking about it for a bit and have checked through my notes, but just can't seem to find anything.

Aagin, thanks.

Sean
 
Physics news on Phys.org
Hey,

Thanks for your help :)

Sean.
 

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