Setting the channel bandwidth to 3000Hz and the signal-to-noise ratio to 30dB, the maximum data rate achievable is about 30Kb/s.

Signal-to-noise ratio (dB)=10log10(S/N)(dB)

30dB=10log10(S/N)dB

Solution: S/N=1000

According to Shannon's formula: transmission rate C=Wlog2(1+S/N)(bit/s)

W is the channel bandwidth

C=3000*log2(1+S/N)bit/s

=3000*10bit/s

=30*1000bit/s

=30kbit/ s

Expanded Information

Uses of Signal-to-Noise Ratio

In addition, signal-to-noise ratio can be car amplifier; optical transceiver; video disc player; digital voice room; home theater suite; webcam; loudspeaker ...... and so on, as explained here The signal-to-noise ratio of an MP3 player.

The ratio in dB of the maximum fidelity output of a signal to the unavoidable electronic noise. The larger the value, the better. Below the 75dB mark, noise is likely to be detected in silence. the AWE64 Gold soundcard has a reasonable 80dB SNR, and SBLIVE claims a top-notch SNR of over 120dB.

Overall, the signal-to-noise ratios of sound cards tend to be unsatisfactory because there is so much high-frequency interference in the computer.