(b) A Gaussian channel has a bandwidth of 4 KHz and a two-sided noise power spectral density $(\eta / 2)$ of $10^{\wedge}-14 \mathrm{watts} / \mathrm{Hz}$. The signal power at the receiver has to be maintained at a level less than or equal to 0.1 milli watt. Calculate the capacity of the channel.

Explanation

The capacity of a Gaussian channel is directly proportional to the bandwidth and the logarithm of the signal-to-noise ratio. A higher SNR results in a higher channel capacity.


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