53.1k views
5 votes
The signal-to-noise ratio on a telephone line is 5000. Assume

the bandwith of this phone line is 300hz(from 300HZ to 3300Hz).what
is the capacity of this channel

1 Answer

6 votes

Final answer:

The capacity of the phone line channel is 3686.31 bits per second.

Step-by-step explanation:

The capacity of a channel can be calculated using Shannon's formula:

Capacity = bandwidth * log2(signal-to-noise ratio)

In this case, the bandwidth is 300 Hz and the signal-to-noise ratio is 5000.

Using the formula: Capacity = 300 * log2(5000) = 300 * 12.2877 = 3686.31 bits per second.

User Gentil Kiwi
by
9.0k points