Multiple choice

The maximum data rate of a channel of 3, 000 Hz bandwidth and SNR of 30 db is

  1. 300 bps

  2. 15, 000 bps

  3. 30, 000 bps

  4. 60, 000 bps
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Shannon's capacity theorem is C = B * log2(1 + SNR). SNR in dB = 30, so 10 * log10(SNR_linear) = 30, SNR_linear = 1000. C = 3000 * log2(1 + 1000) = 3000 * log2(1001) approx 3000 * 9.96 = 29880 bps. 30,000 bps is the closest approximation.

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