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9 December, 17:34

A telephone line has a signal-to-noise ratio of 1000 and a bandwidth of 4 KHz. What is the maximum data rate supported by this line?

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  1. 9 December, 20:37
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    The maximum data rate supported by this line is 39900 bps

    Explanation:

    The maximum data rate supported by this line can be obtained using the formula below

    c = W*log2 (S/N+1)

    where;

    c is the maximum data rate supported by the line

    W is the bandwidth = 4kHz

    S/N+1 is the signal to noise ratio = 1001

    c = 4*log2 (1001)

    c = 39868.9 ≅ 39900 bps

    Therefore, the maximum data rate supported by this line is 39900 bps
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