Suppose that for such a continuous channel with added white Gaussian noise, the ratio of signal power to noise power is given as 30 decibels, and the frequency bandwidth B of this channel is now 10 MHz. Determine the information capacity of this noisy channel, in bits per second, and the number of signal levels needed to achieve it.

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i) Consider a noisy continuous communication channel of bandwidth B = 1 MHz, which is perturbed by additive white Gaussian noise whose total spectral power is N0B = 1 W. Continuous signals are transmitted across such a channel, with average transmitted power S = 1,023 W. Give a numerical estimate for the channel capacity, in bits per second, of this noisy channel.

ii) Suppose that for such a continuous channel with added white Gaussian noise, the ratio of signal power to noise power is given as 30 decibels, and the frequency bandwidth B of this channel is now 10 MHz. Determine the information capacity of this noisy channel, in bits per second, and the number of signal levels needed to achieve it.

  • ONLY answer question ii)
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