Fourier Transform and Modulation

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SUMMARY

The discussion centers on the Fourier Transform and modulation, specifically focusing on drawing the phase spectrum for the function y(t). The user inquires about the correct representation of the phase spectrum, suggesting a line equation of -π/6000f ± π/2 for each triangle. They also seek clarification on how to derive the phase spectrum of x(t) to assist in determining that of y(t). The conversation highlights the importance of understanding phase relationships in signal processing.

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  • Fourier Transform fundamentals
  • Signal modulation techniques
  • Phase spectrum analysis
  • Mathematical representation of waveforms
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  • Study the derivation of phase spectra in Fourier analysis
  • Learn about triangle waveforms and their Fourier series representation
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Students and professionals in electrical engineering, signal processing, and applied mathematics who are looking to deepen their understanding of Fourier Transforms and phase spectrum analysis.

jegues
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Homework Statement



See figure attached.

Homework Equations





The Attempt at a Solution



See pdf attached for my attempt at the solution.

I'm a little confused as to how to draw the phase spectrum for y(t). Would it simply be a line equation of,

[tex]-\frac{\pi}{6000}f \pm \frac{\pi}{2}[/tex]

for each given triangle?(the +/- is selected accordingly of course)

Aside from that, are there any other mistakes?

Cheers!
 

Attachments

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  • Q-_0172.pdf
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Since no one else has responded:

how did you obtain the phase spectrum of x(t)? If I knew that maybe we could figure out how to get that of y(t).

What you wrote looks very good.
 

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