(c) (i) A communications channel with a bandwidth of 3MHz has a signal-to-noise ratio of 30dB. Determine the channel capacity, in bits per second, of this noisy channel. (ii) Suppose the bandwidth of the noisy channel in (i) gets reduced by 10%. What should the new signal-to-noise ratio be, expressed in decibels, if we want to maintain the same channel capacity?

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(c) (i) A communications channel with a bandwidth of 3MHz has a signal-to-noise ratio
of 30dB. Determine the channel capacity, in bits per second, of this noisy channel.
(ii) Suppose the bandwidth of the noisy channel in (i) gets reduced by 10%. What
should the new signal-to-noise ratio be, expressed in decibels, if we want to
maintain the same channel capacity?
Transcribed Image Text:(c) (i) A communications channel with a bandwidth of 3MHz has a signal-to-noise ratio of 30dB. Determine the channel capacity, in bits per second, of this noisy channel. (ii) Suppose the bandwidth of the noisy channel in (i) gets reduced by 10%. What should the new signal-to-noise ratio be, expressed in decibels, if we want to maintain the same channel capacity?
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