Understanding Fourier Transforms

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SUMMARY

The discussion centers on the application of Fourier Transforms to analyze the function x(t) = A sin(w1t) + B cos(w2t). Participants emphasize the importance of understanding frequency response in relation to this equation, noting that frequency response typically pertains to the transfer function of a system. The conversation highlights the necessity of sketching the frequency domain representation of the given time domain function, identifying its two frequency components as critical steps in the analysis.

PREREQUISITES
  • Understanding of Fourier Transforms
  • Knowledge of frequency response concepts
  • Familiarity with time domain and frequency domain representations
  • Basic skills in sketching mathematical functions
NEXT STEPS
  • Study the properties of Fourier Transforms in detail
  • Learn how to derive frequency response from transfer functions
  • Explore the process of sketching frequency domain representations
  • Investigate the implications of different frequency components in signal analysis
USEFUL FOR

Students, engineers, and researchers in signal processing, electrical engineering, and applied mathematics who seek to deepen their understanding of Fourier Transforms and frequency analysis.

P99
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New poster has been reminded (again) to always show their work when starting schoolwork threads
Homework Statement
How to obtain the frequency response and the spectrum graph of this function
x(t) = A sen(w1t) + Bcos(w2t)
Relevant Equations
Hi guys, can someone help me solve this.
Thanks.
I think that is with the Fourier transform.
 
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P99 said:
Homework Statement:: How to obtain the frequency response and the spectrum graph of this function
x(t) = A sen(w1t) + Bcos(w2t)
Relevant Equations:: Hi guys, can someone help me solve this.
Thanks.

I think that is with the Fourier transform.
You were asked to show your work when reposting this question. Please show more effort or this thread will also be deleted.

That said, what do you mean "frequency response" in the context of that equation? A frequency response is usually associated with the transfer function of a function block or circuit. Certainly you can sketch the frequency domain version of that time domain function, right? What are the two frequency components of that sketch?
 

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