Question

Calculate the theoretical highest bit rate of a regular telephone line. A telephone line normally has a bandwidth of 3000 Hz (300 to 3300 Hz)
assigned for data communications. The signal-to-noise ratio is usually 3162. Calculate Shannon capacity?
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Answer 1

Given:

bandwidth B = 3000 Hz

signal-to-noise ratio SNR =3162

To find:

Shannon capacity C =?

Explanation:

The Shannon capacity defines the most quantity of information, or data capacity, which can be sent over any channel or medium (wireless, coax, twisted pair, fiber, etc.)

The shannon capacity is given by formula

C = B $\displaystyle log_2$ ( 1+ SNR )

   = 3000 $\displaystyle log_2$ ( 1 + 3162 )

   = 3000 × 11.62

C = 34860 bps

This means that the highest bit rate for a telephone line is 34860 bps.

If we want to send data faster than this, we will either increase the bandwidth of the line or improve SNR.