In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is

Practice Questions

Q1
In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
  1. 10
  2. 20
  3. 100
  4. 200

Questions & Step-by-Step Solutions

In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
  • Step 1: Understand that SNR in decibels (dB) is a way to express the ratio of signal power to noise power.
  • Step 2: The formula to convert SNR from dB to linear is Linear SNR = 10^(SNR(dB)/10).
  • Step 3: Substitute the given SNR value into the formula. Here, SNR(dB) = 20.
  • Step 4: Calculate the value inside the parentheses: 20/10 = 2.
  • Step 5: Now calculate 10 raised to the power of 2: 10^2 = 100.
  • Step 6: Therefore, the linear SNR is 100.
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