Plotting phase and magnitude -

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SUMMARY

The discussion focuses on extracting the phase and magnitude from Fourier transform equations, specifically for the functions: x(w) = j (5To/2) { sinc [5To/2 (W+Wo)] - sinc[5To/2 (W-Wo)] }, x(w) = 4sin^2 ((pi/4)*W) / W, and x(t) = A/pi + A/2 sin(Wot) - 2A/3pi Cos(2WoT) - 2A/15pi cos(4Wot). The phase can be determined using the arctangent of the imaginary part over the real part of the Fourier transform, while the magnitude is the absolute value of the Fourier transform. Plotting can be accomplished using tools like MATLAB or Python's Matplotlib library.

PREREQUISITES
  • Understanding of Fourier transforms and their properties
  • Familiarity with complex numbers and their representation
  • Knowledge of plotting libraries such as MATLAB or Python's Matplotlib
  • Basic concepts of signal processing and waveforms
NEXT STEPS
  • Learn how to compute the phase using arctangent functions in MATLAB or Python
  • Explore the use of the absolute value function to determine magnitude in Fourier transforms
  • Research how to visualize complex functions using MATLAB or Python's Matplotlib
  • Study the properties of sinc functions and their applications in signal processing
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Students and professionals in signal processing, electrical engineering, and applied mathematics, particularly those working with Fourier transforms and waveform analysis.

skan
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plotting phase and magnitude - urgent

hi,

Using the Fourier transform integrals i find the Fourier transform of a function to be

x(w) = j (5To/2) { sinc [5To/2 (W+Wo)] - sinc[5To/2 (W-Wo)] }

Can someone pls tell me how to find the phase and the magnitude from this equation and how to plot them both. I am stuck here and don't know how to proceed.

The other 2 functions for which I need to do th above are
x(w) = 4sin^2 ((pi/4)*W) / W
and

x(t) = A/pi + A/2 sin(Wot) - 2A/3pi Cos(2WoT) - 2A/15pi cos(4Wot)...

thanks a lot
 
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For a mathematical definition of phase, see https://en.wikipedia.org/wiki/Phase_(waves)
The amplitude is the coefficient in front of the sine or cosine functions.
If you mean the period, then it is the value ##p## obtained by ##\sin(t+p)=\sin(t)## for all ##t##.
 

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