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If γ = (S0/N0)/(Si/Nm) where S0 and S1 are signal power output and signal power input and N0 and Nm are noise power output and noise power input, the value of γ for SSB-SC and DSB-SC amplitude modulated system respectively are
  • a)
    1 and 1
  • b)
    1 and 2
  • c)
    2 and 1
  • d)
    0.5 and 0.5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If γ = (S0/N0)/(Si/Nm) where S0 and S1 are signal power output and sig...
SSB - SC and SSB - DB have γ = 1 and are similar from noise point.
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Most Upvoted Answer
If γ = (S0/N0)/(Si/Nm) where S0 and S1 are signal power output and sig...
To understand why the correct answer is option 'A' (γ = 1 for SSB-SC and DSB-SC amplitude modulated systems), let's break down the expression for γ and analyze it for both modulation schemes separately.

1. SSB-SC (Single Sideband Suppressed Carrier) Modulation:
In SSB-SC modulation, the carrier and one of the sidebands are suppressed, resulting in a single sideband transmission. The expression for γ in this case is:
γ = (S0/N0)/(Si/Nm)

- S0: Signal power output
- N0: Noise power output
- Si: Signal power input
- Nm: Noise power input

In SSB-SC modulation, the signal power output (S0) is equal to the signal power input (Si) because it doesn't involve any power amplification. Similarly, the noise power output (N0) is equal to the noise power input (Nm) because noise is not amplified in the modulation process.

Therefore, γ = (S0/N0)/(Si/Nm) = (S0/Si)/(N0/Nm) = 1/1 = 1

Hence, the value of γ for SSB-SC modulation is 1.

2. DSB-SC (Double Sideband Suppressed Carrier) Modulation:
In DSB-SC modulation, both the upper and lower sidebands are transmitted, while the carrier is suppressed. The expression for γ in this case is the same as for SSB-SC modulation:
γ = (S0/N0)/(Si/Nm)

- S0: Signal power output
- N0: Noise power output
- Si: Signal power input
- Nm: Noise power input

Similar to SSB-SC modulation, in DSB-SC modulation, the signal power output (S0) is equal to the signal power input (Si) because there is no power amplification. Additionally, the noise power output (N0) is equal to the noise power input (Nm) because noise is not amplified in the modulation process.

Therefore, γ = (S0/N0)/(Si/Nm) = (S0/Si)/(N0/Nm) = 1/1 = 1

Hence, the value of γ for DSB-SC modulation is also 1.

Therefore, the correct answer is option 'A': γ = 1 for both SSB-SC and DSB-SC amplitude modulated systems.
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