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LORA / LORAWAN TUTORIAL 7
mobilefish.com
Fresnel Zone
v2.0.0
INTRO
mobilefish.com
• In this tutorial I will explain what the Fresnel zone is.
FRESNEL ZONE
mobilefish.com
• The Fresnel zone is an elliptical shaped body around the direct line of sight path
between the end node and the gateway.
• Any obstacle within this volume, for example buildings, trees, hilltops or ground can
weaken the transmitted signal even if there is a direct line of sight between the end
node and the gateway.
• The maximum radius of the Fresnel zone, located half the distance between end node
and gateway is calculated as follow:
r = 8.657 x sqrt(D / f)
r = Fresnel zone radius in m
D = distance in km
f = frequency in GHz
FRESNEL ZONE
mobilefish.com
gateway
end node
Fresnel zone
Distance (D)
Fresnel zone
radius (r)
r = 8.657 x sqrt(D / f)
r = Fresnel zone radius in m
D = distance in km
f = frequency in GHz
Fresnel zone clearance
FRESNEL ZONE
mobilefish.com
End node sends signal to gateway without any interference
No obstacles in the Fresnel zone
gateway
end node
Fresnel zone
FRESNEL ZONE
mobilefish.com
Ground is inside the Fresnel zone
Reflected signals interfere with the direct signal
gateway
end node
Fresnel zone
Change the distance between end node and gateway or
change the end node and/or gateway vertical position
FRESNEL ZONE
mobilefish.com
gateway
end node
Fresnel zone
Direct and reflected signals are in phase.
Direct signal will be enhanced.
Direct and reflected signal out of phase.
Direct signal will be cancelled out.
direct signal
FRESNEL ZONE
mobilefish.com
End node sends signal to gateway without any interference
No obstacles in the Fresnel zone
gateway
end node
Fresnel zone
Place antenna at a higher location
FRESNEL ZONE
mobilefish.com
• The Fresnel zone equation r = 8.657 x sqrt(D / f) is based on a flat earth.
It does not take the curvature of the earth into consideration.
gateway
end node
Fresnel zone
Height (H)
Distance (D)
• To calculate height H:
• H = Height (or earth curvature allowance) in km
D = Distance between end node and gateway in km
R = Earth radius in km = 6371 km
α = Angle between end node and gateway in degrees
FRESNEL ZONE
mobilefish.com
α = D x 360
2 x π x R
R
α
H
D
H = R - (R x cosα)
FRESNEL ZONE
mobilefish.com
Distance (km) Height (m)
0.1 Negligible
0.5 Negligible
1 Negligible
2 Negligible
5 1.96
Distance (km) Height (m)
10 7.85
15 17.66
20 31.39
25 49.05
30 70.63
FRESNEL ZONE
mobilefish.com
• As a rule of thumb Fresnel zone should always be clear of obstruction but this can be
impractical so it is said that beyond 40% blockage, signal loss will become significant.
r = 8.657 x sqrt((0.6 x D) / f)
r = Fresnel zone radius in m
D = distance in km
f = frequency in GHz
gateway
end node
Fresnel zone
Fresnel zone, 60% clear
40% blockage
Distance (D)
FRESNEL ZONE
mobilefish.com
gateway
end node
Fresnel zone
60% clear
Distance (D)
Height (H)
FRESNEL ZONE
mobilefish.com
gateway
end node
Fresnel zone
60% clear + H
FRESNEL ZONE
mobilefish.com
Example: f = 868 MHz = 0.868GHz H is the earth curvature allowance.
100% clear: r = 8.657 x sqrt(D / f), 60% clear: r = 8.657 x sqrt((0.6xD) / f)
D
(m)
D
(km)
r
(m)
r + H
(m)
100 0.1 2.94 2.94
500 0.5 6.57 6.57
1000 1.0 9.29 9.29
2000 2.0 13.14 13.14
5000 5.0 20.78 22.74
10000 10.0 29.38 37.23
D
(m)
0.6 x
D (km)
r
(m)
r + H
(m)
100 0.06 2.28 2.28
500 0.3 5.09 5.09
1000 0.6 7.20 7.20
2000 1.2 10.18 10.18
5000 3.0 16.09 18.05
10000 6.0 22.76 30.61
100 % clear 60 % clear
mobilefish.com
• For the best radio signal performance:
• The gateway antenna must be placed outdoors at a high location (avoiding
obstacles in the Fresnel zone).
• The antenna design for both gateway and end nodes must be optimised for its
regional frequency.
• Keep the antenna polarisation vertical for both gateway and end nodes and use
omnidirectional antenna to cover a large area.
IMPROVE RADIO SIGNAL PERFORMANCE
end node
antenna not ok
gateway
antenna ok
end node
antenna ok
gateway antenna
at a high location

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lora_part7.pdf

  • 1. LORA / LORAWAN TUTORIAL 7 mobilefish.com Fresnel Zone v2.0.0
  • 2. INTRO mobilefish.com • In this tutorial I will explain what the Fresnel zone is.
  • 3. FRESNEL ZONE mobilefish.com • The Fresnel zone is an elliptical shaped body around the direct line of sight path between the end node and the gateway. • Any obstacle within this volume, for example buildings, trees, hilltops or ground can weaken the transmitted signal even if there is a direct line of sight between the end node and the gateway. • The maximum radius of the Fresnel zone, located half the distance between end node and gateway is calculated as follow: r = 8.657 x sqrt(D / f) r = Fresnel zone radius in m D = distance in km f = frequency in GHz
  • 4. FRESNEL ZONE mobilefish.com gateway end node Fresnel zone Distance (D) Fresnel zone radius (r) r = 8.657 x sqrt(D / f) r = Fresnel zone radius in m D = distance in km f = frequency in GHz Fresnel zone clearance
  • 5. FRESNEL ZONE mobilefish.com End node sends signal to gateway without any interference No obstacles in the Fresnel zone gateway end node Fresnel zone
  • 6. FRESNEL ZONE mobilefish.com Ground is inside the Fresnel zone Reflected signals interfere with the direct signal gateway end node Fresnel zone Change the distance between end node and gateway or change the end node and/or gateway vertical position
  • 7. FRESNEL ZONE mobilefish.com gateway end node Fresnel zone Direct and reflected signals are in phase. Direct signal will be enhanced. Direct and reflected signal out of phase. Direct signal will be cancelled out. direct signal
  • 8. FRESNEL ZONE mobilefish.com End node sends signal to gateway without any interference No obstacles in the Fresnel zone gateway end node Fresnel zone Place antenna at a higher location
  • 9. FRESNEL ZONE mobilefish.com • The Fresnel zone equation r = 8.657 x sqrt(D / f) is based on a flat earth. It does not take the curvature of the earth into consideration. gateway end node Fresnel zone Height (H) Distance (D)
  • 10. • To calculate height H: • H = Height (or earth curvature allowance) in km D = Distance between end node and gateway in km R = Earth radius in km = 6371 km α = Angle between end node and gateway in degrees FRESNEL ZONE mobilefish.com α = D x 360 2 x π x R R α H D H = R - (R x cosα)
  • 11. FRESNEL ZONE mobilefish.com Distance (km) Height (m) 0.1 Negligible 0.5 Negligible 1 Negligible 2 Negligible 5 1.96 Distance (km) Height (m) 10 7.85 15 17.66 20 31.39 25 49.05 30 70.63
  • 12. FRESNEL ZONE mobilefish.com • As a rule of thumb Fresnel zone should always be clear of obstruction but this can be impractical so it is said that beyond 40% blockage, signal loss will become significant. r = 8.657 x sqrt((0.6 x D) / f) r = Fresnel zone radius in m D = distance in km f = frequency in GHz gateway end node Fresnel zone Fresnel zone, 60% clear 40% blockage Distance (D)
  • 13. FRESNEL ZONE mobilefish.com gateway end node Fresnel zone 60% clear Distance (D) Height (H)
  • 15. FRESNEL ZONE mobilefish.com Example: f = 868 MHz = 0.868GHz H is the earth curvature allowance. 100% clear: r = 8.657 x sqrt(D / f), 60% clear: r = 8.657 x sqrt((0.6xD) / f) D (m) D (km) r (m) r + H (m) 100 0.1 2.94 2.94 500 0.5 6.57 6.57 1000 1.0 9.29 9.29 2000 2.0 13.14 13.14 5000 5.0 20.78 22.74 10000 10.0 29.38 37.23 D (m) 0.6 x D (km) r (m) r + H (m) 100 0.06 2.28 2.28 500 0.3 5.09 5.09 1000 0.6 7.20 7.20 2000 1.2 10.18 10.18 5000 3.0 16.09 18.05 10000 6.0 22.76 30.61 100 % clear 60 % clear
  • 16. mobilefish.com • For the best radio signal performance: • The gateway antenna must be placed outdoors at a high location (avoiding obstacles in the Fresnel zone). • The antenna design for both gateway and end nodes must be optimised for its regional frequency. • Keep the antenna polarisation vertical for both gateway and end nodes and use omnidirectional antenna to cover a large area. IMPROVE RADIO SIGNAL PERFORMANCE end node antenna not ok gateway antenna ok end node antenna ok gateway antenna at a high location