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  1. A communication channel with AWGN operating at a signal to noise ratio SNR >> 1 and bandwidth B has capacity C1. If the SNR is doubled keeping B constant, the resulting capacity C2 is given by

    2. A.
    C2 ≈ 2C1
    B.
    C2 ≈ C1 + B
    C.
    C2 ≈ C1 + 2B
    D.
    C2 ≈ C1 + 0.3B

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    Answer : Option B

    Explanation :

    C = B log2[1 + SNR]

    C = B log2[SNR]

    C' = B log2[2SNR] = B log2 SNR + B log22

    C' = C1 + B.

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