Communication miscellaneous
- A 2 MHz carrier is amplitude modulated by a 500 Hz modulation signal to a depth of 60%. If the unmodulated carrier power is 1kW, the power of the modulated signal is—
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Given that
Pc = 1kW
μ = 60% = 0·6
Power of modulated signalPt = Pc 1 + μ2 2
orPt = 1kW 1 + 0.62 = 1.18kW 2 Correct Option: C
Given that
Pc = 1kW
μ = 60% = 0·6
Power of modulated signalPt = Pc 1 + μ2 2
orPt = 1kW 1 + 0.62 = 1.18kW 2
- Given f(t) = cos ω1t + sin ω2t then fh(t) =?
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We know that Hilbert transform [fh (t)] can be obtained by replacing the signal (– 90°) i.e.
fh (t) = cos (ω1t – 90°) + sin (ω2t – 90°)
or fh (t) = sin ω1t – cos ω2t
Hence alternative (A) is the correct choice.Correct Option: A
We know that Hilbert transform [fh (t)] can be obtained by replacing the signal (– 90°) i.e.
fh (t) = cos (ω1t – 90°) + sin (ω2t – 90°)
or fh (t) = sin ω1t – cos ω2t
Hence alternative (A) is the correct choice.
- Given f(t) = cos ω1t + sin ω2t then fh(t) =?
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View Hint View Answer Discuss in Forum
We know that Hilbert transform [fh (t)] can be obtained by replacing the signal (– 90°) i.e.
fh (t) = cos (ω1t – 90°) + sin (ω2t – 90°)
or fh (t) = sin ω1t – cos ω2t
Hence alternative (A) is the correct choice.Correct Option: A
We know that Hilbert transform [fh (t)] can be obtained by replacing the signal (– 90°) i.e.
fh (t) = cos (ω1t – 90°) + sin (ω2t – 90°)
or fh (t) = sin ω1t – cos ω2t
Hence alternative (A) is the correct choice.
- The allocation of power in each sidebands if percentage of modulation is changed to 80%—
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Here given μ = 0·8 and Pc = 1000 W
so,Pt = Pc 1 + μ2 2 Pt = Pc 1 + 0.82 = 1320 W 2
Now,
Pt = Pc + PUSB + PLSB
1320 = 1000 + 2PUSB (∴ PUSB = PLSB)PUSB = 320 = 160 W 2 Correct Option: B
Here given μ = 0·8 and Pc = 1000 W
so,Pt = Pc 1 + μ2 2 Pt = Pc 1 + 0.82 = 1320 W 2
Now,
Pt = Pc + PUSB + PLSB
1320 = 1000 + 2PUSB (∴ PUSB = PLSB)PUSB = 320 = 160 W 2
- What is the percentage modulation?
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We know that,
Pt = Pc 1 + μ2 2
where, Pt= Pc + PUSB = 1000 + 200 + 200 = 1400 W Pc = 1000 W
Now,1400 = 1000 1 + μ2 2 or μ2 = 0.4 2
or μ2 = 0.8
or μ = 0.894
or μ = 89.4%Correct Option: D
We know that,
Pt = Pc 1 + μ2 2
where, Pt= Pc + PUSB = 1000 + 200 + 200 = 1400 W Pc = 1000 W
Now,1400 = 1000 1 + μ2 2 or μ2 = 0.4 2
or μ2 = 0.8
or μ = 0.894
or μ = 89.4%