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In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is
In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
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In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
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Linear SNR = 10^(SNR(dB)/10) = 10^(20/10) = 100.
Questions & Step-by-step Solutions
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Q
Q: In a communication system, if the signal-to-noise ratio (SNR) is 20 dB, what is the linear SNR?
Solution:
Linear SNR = 10^(SNR(dB)/10) = 10^(20/10) = 100.
Steps: 6
Show Steps
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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