Communication miscellaneous
- Indicate which one of the following advantage of the phase cancellation method of obtaining SSB over the filter method is false?
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The main advantage of phase cancellation or phase method is that it does not require any sharp cut-off filter. Here each modulator is carefully balanced in order to suppress the carrier, for this each modulator should have equal sensitivity to the baseband signal.
Hence alternative (D) is the most appropriate choice.Correct Option: D
The main advantage of phase cancellation or phase method is that it does not require any sharp cut-off filter. Here each modulator is carefully balanced in order to suppress the carrier, for this each modulator should have equal sensitivity to the baseband signal.
Hence alternative (D) is the most appropriate choice.
- When the modulation index of a wave is doubled, the antenna current is also doubled. The AM system being used is—
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NA
Correct Option: B
NA
- Indicate the false statement regarding the advantages of SSB over double sideband, full-carrier AM—
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NA
Correct Option: A
NA
- The total transmitted power given by the AM signal
φAM(t) = 10 cos (2π × 106t) + 5 cos(2π × 106t)
cos (2π × 103t) + 2 cos (2π × 106t) + cos (4π × 103t)
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The given amplitude modulation equation is φAM (t) = 10 cos (2π × 106t) + 5 cos (2π × 106t) cos (2π × 103t) + 2 cos (2π × 106t) cos (4π × 103t)
φAM (t) = 1+ 5 cos(2π × 103t) + 2 cos(4π×103t) 10 10
where,μ1 = 5 = 0.5 10 μ2 = 2 = 0.2 10
Ac = 10
Now, total transmitted powerPt = Pc 1 + μeff2 2
μeff2 = μ21+μ22 = 0.52+0.22
or
μeff2 = 0.25 + 0.4 = 0.29
NowPt = A2 1 + 0.29 2 2
=102 ×1.145 = 57.25 W 2 Correct Option: A
The given amplitude modulation equation is φAM (t) = 10 cos (2π × 106t) + 5 cos (2π × 106t) cos (2π × 103t) + 2 cos (2π × 106t) cos (4π × 103t)
φAM (t) = 1+ 5 cos(2π × 103t) + 2 cos(4π×103t) 10 10
where,μ1 = 5 = 0.5 10 μ2 = 2 = 0.2 10
Ac = 10
Now, total transmitted powerPt = Pc 1 + μeff2 2
μeff2 = μ21+μ22 = 0.52+0.22
or
μeff2 = 0.25 + 0.4 = 0.29
NowPt = A2 1 + 0.29 2 2
=102 ×1.145 = 57.25 W 2
- For AM modulated signal given by i = 10 + K1 Vi + K2 Vi2
where Vi = Ac cos ω ct + m (t),
uses square law demodulator, find μ given that
Ac = 1V, Am = 0·5 V, K1 = 2 and K2 = 0·2
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We know that AM modulated wave represented by equation
x(t)=Ac (1 + μ cos ωmt) cos ωct
s(t)=Ac cos ωct + μ·Ac cos ωmt cos ωct …(A)
given that,
i AM(t) = 10 + K1V1 + K2V2 i
iAM(t) = 10 + K1Ac cos ωct + K1Am cos ωmt + K2A2c cos2ωct + K22A2m cos2 ωmt 2K2AcAm cos ωct cos ωmt …(B)
In order to calculate, modulation index μ.
Compare the coefficient of cos ωmt cos ωct in equation (A) and (B) we get
μAc = 2K2AcAm
or μ = 2K2Am = 2 × 0·2 × 0·5= 0·20 (˙.˙ K2 = 0·2)
Hence alternative (B) is the correct choice.Correct Option: B
We know that AM modulated wave represented by equation
x(t)=Ac (1 + μ cos ωmt) cos ωct
s(t)=Ac cos ωct + μ·Ac cos ωmt cos ωct …(A)
given that,
i AM(t) = 10 + K1V1 + K2V2 i
iAM(t) = 10 + K1Ac cos ωct + K1Am cos ωmt + K2A2c cos2ωct + K22A2m cos2 ωmt 2K2AcAm cos ωct cos ωmt …(B)
In order to calculate, modulation index μ.
Compare the coefficient of cos ωmt cos ωct in equation (A) and (B) we get
μAc = 2K2AcAm
or μ = 2K2Am = 2 × 0·2 × 0·5= 0·20 (˙.˙ K2 = 0·2)
Hence alternative (B) is the correct choice.