Carrier wave frequency spectrum

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SUMMARY

The discussion centers on the analysis of carrier wave frequency spectra, specifically focusing on the functions 0.5 + cos(10πt) and 1.5*sin(60πt). Participants seek clarification on how to graph the frequency spectrum for these carrier waves. The key takeaway is the need to understand the Fourier Transform to effectively visualize the frequency components of these signals.

PREREQUISITES
  • Understanding of Fourier Transform principles
  • Familiarity with trigonometric functions in signal processing
  • Basic knowledge of signal representation in time and frequency domains
  • Experience with graphing tools or software for signal analysis
NEXT STEPS
  • Study the Fourier Transform and its application in signal analysis
  • Learn how to graph frequency spectra using tools like MATLAB or Python's NumPy
  • Explore the effects of different frequencies on signal behavior
  • Investigate the concept of amplitude modulation in carrier waves
USEFUL FOR

This discussion is beneficial for students in electrical engineering, signal processing enthusiasts, and anyone involved in telecommunications or waveform analysis.

mathman44
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Homework Statement



241111.jpg


The Attempt at a Solution



The carrier wave is by inspection [tex]0.5 + cos(10\pi*t)[/tex] and the other would be [tex]1.5*sin(60\pi*t)[/tex].

I'm not entirely sure what we're supposed to graph for the second part, the frequency spectrum. Any help?
 
Last edited:
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Hmm good question
 
can anyone help please
 

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