Question

Bandwidth = B = 1Mhz, Signal to noise ratio = 20dB

What is the maximum data rate achievable?

Answer 1

Signal To Noise Ratio:

Signal to noise ratio is the measure of signal strength relative to the background noise.

SNR = average signal power/average noise power

Given Bandwidth = 1 MHz

SNR = 20 dB

Maximum Data Rate or Capacity = Bandwidth   log₂(1 + SNR)

Maximum Data Rate or Capacity = 1 10⁶  log₂(1 + 20)

Maximum Data Rate or Capacity = 10⁶​​​​​​​  log₂​​​​​​​(21)

Maximum Data Rate or Capacity = 10⁶​​​​​​​  4.39231742278 bps

Maximum Data Rate or Capacity = 4.3 Mbps