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v = A sin (ωct + m sin ωmt) is the expression for
- a)Amplitude modulated signal
- b)Frequency modulated signal
- c)Phase modulated signal
- d)Carrier signal used for modulation
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
v = A sin (ωct + m sin ωmt) is the expression fora)Amplitu...
Analysis:
Let the carries signal Sc(t) = Ac sin ωct
The message signal m(t) = Am sin ωm t
So, the expression of FM is:
If m: modulation index then:
Sfm(t) = Ac sin [ωct – m cos ωm t]
So hence given expression is not FM signal.
Now,
The expression of PM is:
Spm(t) = Ac sin (ωct + kp m(t)]
= Ac sin (ωc t + kp Am sin ωm t)
If m is the modulation index, then:
Spm(t) = Ac sin (ωc t + m sin ωm t)
∴ m = kp Am
Hence given expression is of PM signal.
Let the carries signal Sc(t) = Ac sin ωct
The message signal m(t) = Am sin ωm t
So, the expression of FM is:
If m: modulation index then:
Sfm(t) = Ac sin [ωct – m cos ωm t]
So hence given expression is not FM signal.
Now,
The expression of PM is:
Spm(t) = Ac sin (ωct + kp m(t)]
= Ac sin (ωc t + kp Am sin ωm t)
If m is the modulation index, then:
Spm(t) = Ac sin (ωc t + m sin ωm t)
∴ m = kp Am
Hence given expression is of PM signal.
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v = A sin (ωct + m sin ωmt) is the expression fora)Amplitude modulated signalb)Frequency modulated signalc)Phase modulated signald)Carrier signal used for modulationCorrect answer is option 'C'. Can you explain this answer?
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