What is Shannon capacity? In What conditions the capacities of a channel become zero? Calculate the capacity of a channel when it’s S/N= 33dB. (Bandwidth=2000Hz)

Answer

Shannon capacity tells us theoretical highest data rate or the capacity of a channel irrespective of the physical materials of the channel or media. It is calculated for a channel with the following formula C = B log₂ (1 + S/N) in bps. Where B=bandwidth of the channel and S/N=signal to noise ratio.

2) The capacity of the channel becomes zero when the signal to noise ratio is zero or for extremely noisy channel S/N=0…..

3) Extremely noisy channel

S/N = 33dB or 2981 watts

And bandwidth of the signal B=2000

So,  C = B log₂ (1 + S/N) = 2000 log2 (1+2981)

C = 2000 log2 (2982) = 2000*11.52 = 23056.47 bps