Question: In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
Options:
10
20
100
200
Correct Answer: 100
Solution:
Linear SNR = 10^(SNR(dB)/10) = 10^(20/10) = 100.
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?
10
20
100
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.
Signal-to-Noise Ratio (SNR) – The ratio of the power of a signal to the power of background noise, often expressed in decibels (dB).
Conversion from dB to Linear Scale – Understanding how to convert SNR from decibels to a linear scale using the formula Linear SNR = 10^(SNR(dB)/10).
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