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• Publicado : 18 de abril de 2011

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Distance Calculation
The majority of the power of a radio signal will be lost in the air. Even in a perfect vacuum, a radio wave loses some of its energy since some energy is always radiated indirections other than the link axis. The Free Space Path Loss (FSPL) measures the power loss in free space without any obstacles. So for end-users, it is important to know the approximate distance betweenthe transmitter and receiver while maintaining a certain link quality at different data transfer rates.
Related formula
FSPL depends on two parameters: First is the frequency of radiosignals；Second is the wireless transmission distance. The following formula can reflect the relationship between them.
FSPL (dB) = 20log10(d) + 20log10(f) + K

d = distance
f = frequency
K= constant thatdepends on the units used for d and f
If d is measured in kilometers, f in MHz, the formula is:
FSPL (dB) = 20log10(d)+ 20log10(f) + 32.44

From the Fade Margin equation, Free Space Path Losscan be computed with the following equation.
Free Space Path Loss=Tx Power-Tx Cable Loss+Tx Antenna Gain+Rx Antenna Gain - Rx Cable Loss - Rx Sensitivity - Fade Margin

With the above two FreeSpace Path Loss equations, we can find out the Distance in km.
Distance (km) = 10(Free Space Path Loss – 32.44 – 20log10(f))/20

The Fresnel Zone is the area around the visual line-of-sight that radiowaves spread out into after they leave the antenna. You want a clear line of sight to maintain strength, especially for 2.4GHz wireless systems. This is because 2.4GHz waves are absorbed by water,like the water found in trees. The rule of thumb is that 60% of Fresnel Zone must be clear of obstacles. Typically, 20% Fresnel Zone blockage introduces little signal loss to the link. Beyond 40%blockage the signal loss will become significant.
FSPLr=17.32*

d = distance [km]
f = frequency [GHz]