16) If the Wi-Fi channel bandwidth is 160 MHz, and the RSSI value of the received signal -63 dBm. Find the SNR. Hint: The antenna of the RX is in the room. Hand-written calculation Required.
a) 89 dB
b) 59 dB
c) 29 dB
d) 19 dB
a) 89 dB
Calculation: SNR = RSSI + 10log(Bandwidth) = -63 dBm + 10log(160 MHz) = 89 dB
To find the signal-to-noise ratio (SNR), we first need to calculate the noise level. In this case, the noise level can be determined using the received signal strength indicator (RSSI) value.
The formula to calculate the SNR is as follows:
SNR = RSSI - (10 * log10(BW))
Where:
SNR = Signal-to-Noise Ratio
RSSI = Received signal strength indicator in dBm
BW = Channel bandwidth in MHz
In this case, the RSSI value is -63 dBm and the channel bandwidth is 160 MHz.
Using the given values in the formula, the calculation will be:
SNR = -63 dBm - (10 * log10(160))
Now let's solve the equation step by step:
Step 1: Calculate the logarithm of 160
log10(160) = 2.2041
Step 2: Multiply the logarithm value by 10
10 * 2.2041 = 22.041
Step 3: Subtract the logarithm value from the RSSI value
-63 dBm - 22.041 = -85.041 dB
Therefore, the SNR is -85.041 dB.
However, the SNR value cannot be negative, so we take the absolute value:
SNR = |-85.041| = 85.041 dB
Therefore, the SNR is approximately 85.041 dB.
However, none of the given answer choices match the calculated SNR value. Please check the options again or verify if any intermediate steps were missed during the calculation.
To find the SNR (Signal-to-Noise Ratio), we first need to determine the noise level. The formula to calculate SNR is as follows:
SNR = RSSI - Noise Level
Given that the RSSI is -63 dBm, we need to find the noise level. However, the noise level can vary depending on the environment and other factors such as interference. In this case, as the antenna is in the room, we can assume a noise level of -95 dBm, which is a typical value for a Wi-Fi signal in an average indoor environment.
Substituting the values into the formula:
SNR = -63 dBm - (-95 dBm)
SNR = -63 dBm + 95 dBm
SNR = 32 dB
Therefore, the SNR is 32 dB.