If the channel band is limited to 6 kHz and signal to noise ratio is 16, what…
2022
If the channel band is limited to 6 kHz and signal to noise ratio is 16, what would be the capacity of channel?
- A.
15.15 kbps
- B.
24.74 kbps
- C.
30.12 kbps
- D.
52.18 kbps
Attempted by 73 students.
Show answer & explanation
Correct answer: B
Use the Shannon capacity formula: C = B · log2(1 + SNR)
Bandwidth B = 6 kHz = 6000 Hz.
Signal-to-noise ratio SNR = 16 (linear). Then 1 + SNR = 17.
Compute log2(17) ≈ 4.087462841.
Capacity C = 6000 · 4.087462841 ≈ 24,524.78 bps ≈ 24.52 kbps.
Conclusion: The theoretical channel capacity is about 24.52 kbps. The provided option 24.74 kbps is the closest available choice and is therefore the best answer among the options.