Explore BrainMass

# Maximum tolerable signal-to-noise ratio on the channel

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Suppose that an analog communications channel has an intended capacity of 10 Mbps. The bandwidth is 4 MHz. According to Shannon's law, what is the maximum signal-to-noise ratio (in dB) that can be tolerated on this channel?

Â© BrainMass Inc. brainmass.com November 30, 2021, 3:58 am ad1c9bdddf
https://brainmass.com/computer-science/algorithms/maximum-tolerable-signal-noise-ratio-channel-315090

#### Solution Preview

As per Shannon's law, the theoretical maximum rate at which data can be transmitted error-free over a bandwidth-limited channel in the presence of Gaussian noise is expressed as:

C = ...

#### Solution Summary

Stepwise calculations shown, along with the formula used. Final answer also given in decibels.

\$2.49