If a telephone system can be created with a signal-to-noise ratio of 40 dB and an analog bandwidth of 3000 Hz, how many bits per second could be transmitted?

First we should convert 40 dB to a real number, namely if 40 = 10 log 10 S/N ? S/N = 10,000
What will be an ideal response?

Using the Shannon’s capacity expression
C = B log 2 (1 + S/N) ? C = 3,000 log 2 (1+ 10,000) = to be determined by reader