Calculate FSPL in dB for 5Km and 10Km for 5.8GHz and 2.4GHz frequencies

A.
Calculate the FSPL in dB for a distance of 5Km and 10Km for two different frequencies 5.8GHZ, 2.4GHz
and construct a table as follows:
FSPL(dB)
Distance (Km) 2.4GHz 5.8GHZ
5
10
FSPL – free space path loss is proportional to the distance and frequency. In other words, FPSL is
proportional to the square of the frequency of the radio signal and as well as it is proportional to the
square of the distance between the transmitter and the receiver.( Idc-onlinecom. 2019.)
The FSPL in dB for a distance of 5Km and 10Km for two different frequencies 5.8GHZ, 2.4GHz is
calculated as follows:
Formula:
FPSL (dB) = 20 log10 (d) + 20 log10 (f) +32.45
The FSPL in dB for a distance of 5Km and for the frequency of 2.4GHz is calculated as follows:
For 2.4GHz,
At, d=5 Km
FPSL (dB) = 20 log10 (5) + 20 log10 (2.4G) +32.45
= 13.9794 + 187.60 + 32.45
= 234.02 dB
The FSPL in dB for a distance of 10Km and for the frequency of 2.4GHz is calculated as follows:
At, d=10 Km
FPSL (dB) = 20 log10 (10) + 20 log10 (2.4G) +32.45
= 20 + 187.60 + 32.45
= 240.05 dB
For 5.8GHz,
The FSPL in dB for a distance of 5Km and for the frequency of 5.8GHz is calculated as follows:
At, d=5 Km

FPSL (dB) = 20 log10 (5) + 20 log10 (5.8G) +32.45
= 13.9794 + 195.268 + 32.45
= 241.697 dB
The FSPL in dB for a distance of 5Km and for the frequency of 5.8GHz is calculated as follows:
At, d=10 Km
FPSL (dB) = 20 log10 (10) + 20 log10 (5.8G) +32.45
= 20 + 195.268 + 32.45
= 247.718 dB
Below is a table summarizing the FPSL in dB for given distance of 5Km and 10Km for two different
frequencies 5.8GHZ, 2.4GHz
FSPL(dB)
Distance (Km) 2.4GHz 5.8GHZ
5 234.02 241.697
10 240.05 247.718
B.
For the information given below, calculate the link budget analysis for the wireless system, which will
involve calculating the following:
Received power
Link margin
Distance: 5Km
Frequency: 5.8GHz
Link type: point-to-point, line-of-sight
Tx power: +23dBm
Antenna gain: 24dBi
Assume negligible loss for cabling and connectors
Receiver sensitivity: -72dBm
It is being estimated that, if the received power is more than that of the link margin, the link budget is
said to be sufficient enough to send the data under perfect conditions. (Quoracom. 2019)
Link margin is the difference between the received power and the receiver sensitivity. In other words,
the amount by which the received power exceeds the receiver sensitivity is called the link margin.