Plotting phase and magnitude -

In summary, the conversation was about finding the phase and magnitude from a given Fourier transform equation and how to plot them. The speaker is also seeking help with two other functions for which they need to do the same.
  • #1
skan
15
0
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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  • #2
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##.
 

What is the purpose of plotting phase and magnitude?

The purpose of plotting phase and magnitude is to visualize the frequency response of a system or signal. It helps to understand how different frequencies are affected by the system and can be used to design filters or identify resonances.

What is the difference between phase and magnitude?

Phase refers to the shift in time of a signal or system in response to different frequencies. It is measured in degrees or radians. Magnitude, on the other hand, refers to the amplitude or strength of a signal or system at different frequencies. It is typically measured in decibels (dB).

How do you plot phase and magnitude?

To plot phase and magnitude, you first need to obtain the frequency response data of the system or signal. This can be done by performing a Fourier transform on the signal or by using a frequency response analyzer. Once you have the data, you can plot the phase and magnitude values against the corresponding frequencies on a graph.

What does a phase and magnitude plot tell us about a system?

A phase and magnitude plot can provide information about the frequency response of a system. It can show any peaks or dips in the magnitude, indicating resonances or attenuations at certain frequencies. It can also reveal the phase shift of the system, which is important in understanding the time-domain behavior of the system.

What is the significance of phase and magnitude in signal processing?

Phase and magnitude are important in signal processing because they allow us to analyze and manipulate signals in the frequency domain. By understanding the frequency response of a system, we can apply filters to attenuate certain frequencies or enhance others. Additionally, phase and magnitude information can be used to correct distortions in a signal caused by a system.

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