Shannon Channel Capacity

In 1944 Claude Shannon introduce a formula to determine the theoretical highest data rate for a a channel

C=B log 2(1+S/n)

In this formula, B is the bandwidth of the channel. S/N is the signal to noice ratio and C is the capacity (Shannon Capacity) in BPS.

We can calculate the theoretical highest bit rate of regular telephone.

A Telephone line normally has a bandwidth of 3000Hz. The signal to noise ratio is usually 3162-(35db) for this channel capacity is

       C=B log ₂ (1+S/N)

       C=3000 log₂ ⁽(1+3162)

       C=3000 log₂ (3163)

       C=3000*1162

       C=34860 BPS