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

Click For Summary

Discussion Overview

The discussion revolves around a homework problem involving modulation in communication systems. Participants are tasked with determining the modulation index, the amplitude of the carrier, the equation of the message signal m(t), and identifying the type of modulation (DSB-SC or AM) based on a provided plot of a modulated signal s(t) and one period of the modulating signal m(t).

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant expresses confusion about the problem and indicates they are stuck on how to solve it.
  • Another participant suggests plotting the questions with various values of the constants to aid understanding.
  • A later reply points out that the modulating signal m(t) is not shown in the provided image, suggesting that a sketch of m(t) could assist in solving the problem.
  • One participant proposes that the two equations for s(t) should be considered separately to determine which one corresponds to the shown signal, hinting that only one can produce a signal with differing maxima.
  • There is a suggestion that m(t) is likely a sinusoid, but this is not confirmed by all participants.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solution to the problem. There are multiple approaches suggested, and some participants express uncertainty about the correct interpretation of the modulating signal.

Contextual Notes

Participants have not resolved the assumptions regarding the nature of m(t) or the specific characteristics of the modulated signal s(t). The lack of clarity in the provided image adds to the complexity of the discussion.

bonildo
Messages
14
Reaction score
1

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.
 

Attachments

  • com.png
    com.png
    86.6 KB · Views: 574
  • Like
Likes   Reactions: cellurl
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
Replies
61
Views
15K
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K