Communication systems -- Find the Modulation Depth....

AI Thread Summary
The discussion revolves around a homework problem involving a modulated signal s(t) and the need to determine the modulation index, carrier amplitude, message equation m(t), and the type of modulation (DSB-SC or AM). Participants suggest using the provided equations for s(t) to analyze the signal and emphasize the importance of visualizing the modulating signal m(t), which is not included in the image. The conversation highlights the necessity of understanding the characteristics of both modulation types to identify which one corresponds to the given signal. A hint is provided that m(t) is likely a sinusoid and that only one modulation type can produce the observed signal with varying maxima. The discussion encourages critical thinking and experimentation with the equations to arrive at a solution.
bonildo
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Homework Statement


Hello, the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t). The mean value of m(t) is equal to zero . Its asked me to find the modulated index, the amplitude of the carrier, the equation of the message(m(t)) and the kind of modulation (DSB-SC or AM).

Homework Equations


s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation)
s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation)

The Attempt at a Solution


I don't know, I'm really stuck in this exercise.
 

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Have you tried plotting those questions with various values of the constants to help learn their meanings?
 
Dr. Courtney said:
Have you tried plotting those questions with various values of the constants to help learn their meanings?
Yes, I do. But I can't still figure out a solution for it.

I tried to solve s(0)= (1+ka*m(0)), but I don't know who is m(t)
 
the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t).
The image seems to not show m(t). You are making this difficult for yourself if you ignore the assistance a sketch of the modulating signal will likely give you.

If you are not shown m(t), perhaps you can figure it out, or even "guess" it?
 
bonildo said:

Homework Statement


Hello, the plot in the image shows a modulated signal s(t), with one period of the modulating signal m(t). The mean value of m(t) is equal to zero . Its asked me to find the modulated index, the amplitude of the carrier, the equation of the message(m(t)) and the kind of modulation (DSB-SC or AM).

Homework Equations


s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation)
s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation)

The Attempt at a Solution


I don't know, I'm really stuck in this exercise.
I suggest:
take the two s(t) signals in "relevant equations". Take one at a time.
Can you imagine s(t)=A*m(t)*cos*2*pi*fc*t) (dsb-sc modulation) giving you the shown signal?
Can you imagine s(t)= (1+ka*m(t))*cos*2*pi*fc*t) (am modulation) giving you the shown signal?
Only one of those two can give you the shown signal.
And a little thinking should get you the answers you seek.
Hint: only one of your s(t) can produce a signal with differing maxima (5 and 15).
P.S. obviously, m(t) is a sinusoid.
 
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