Telephone channels have a bandwidth of about 3.1 kHz. Do the following in Excel. Cut and paste your analyses into your homework.
1. If a telephone channel's signal-to-noise ratio is 1,000 (the signal strength is 1,000 times larger than the noise strength), how fast can a telephone channel carry data? (Check figure: Telephone modems operate at about 30 kbps, so your answer should be roughly this speed.)
2. How fast could a telephone channel carry data if the SNR were increased massively, from 1,000 to 10,000? (This would not be realistic in practice.)
3. With an SNR of 1,000, how fast could a telephone channel carry data if the bandwidth were increased to 4 kHz? Show your work or no credit.
4. What did you learn from these three analyses?