To calculate the Signal-to-Noise Ratio (SNR), we need to convert the signal and noise power from dBm to linear scale (watts) and then use the SNR equation:
SNR (dB) = 10 * log10(signal power / noise power)
Given:
Noise floor = -90 dBm
Signal strength = 75 dBm
First, let's convert the signal and noise power to watts:
Signal Power (W) = 10^((Signal Strength (dBm) - 30) / 10)
Signal Power (W) = 10^((75 - 30) / 10)
Signal Power (W) = 10^4.5
Signal Power (W) = 31,622.7766 W
Noise Power (W) = 10^((Noise Floor (dBm) - 30) / 10)
Noise Power (W) = 10^((-90 - 30) / 10)
Noise Power (W) = 10^-12
Noise Power (W) = 0.000000000001 W
Now, let's calculate the SNR in dB:
SNR (dB) = 10 * log10(signal power / noise power)
SNR (dB) = 10 * log10(31,622.7766 / 0.000000000001)
SNR (dB) = 10 * log10(31,622,776,600,000,000)
SNR (dB) = 10 * 16.5
SNR (dB) = 165
Therefore, the SNR is 165 dB. The correct answer is C.
The example might be taken from this site:
https://documentation.meraki.com/MR/Wi-Fi_Basics_and_Best_Practices/Signal-to-Noise_Ratio_(SNR)_and_Wireless_Signal_Strength
"For example, if a client device's radio receives a signal at -75 dBm, and the noise floor is -90 dBm, then the effective SNR is 15 dB. This would then reflect as a signal strength of 15 dB for this wireless connection. "
C
SNR = signal strength in dBm - noise
75 - (-90) = 165
if a client device's radio receives a signal at -75 dBm, and the noise floor is -90 dBm, then the effective SNR is 15 dB. This would then reflect as a signal strength of 15 dB for this wireless connection.
Reference:
https://documentation.meraki.com/MR/Wi-Fi_Basics_and_Best_Practices/Signal-to-Noise_Ratio_(SNR)_and_Wireless_Signal_Strength#:~:text=if%20a%20client%20device%27s%20radio%20receives%20a%20signal%20at%20%2D75%20dBm%2C%20and%20the%20noise%20floor%20is%20%2D90%20dBm%2C%20then%20the%20effective%20SNR%20is%2015%20dB.%C2%A0This%20would%20then%20reflect%20as%20a%20signal%20strength%20of%2015%20dB%20for%20this%20wireless%20connection.%C2%A0
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