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Version 4
Introduction to Radio Systems
May 2015
Proprietary and Confidential
Agenda
2
• Radio Relay Principles
• Parameters affecting propagations:
• Dispersion
• Humidity/gas absorption
• Multipath/ducting
• Atmospheric conditions (refraction)
• Terrain (flatness, type, Fresnel zone clearance, diffraction)
• Climatic conditions (rain zone, temperature)
• Rain attenuation
• Modulation
Proprietary and Confidential
Digital Transmission Systems
3
Proprietary and Confidential
RF Signal
Path Terrain
f1
f1’
• A Radio Link requires two end stations
• A line of sight (LOS) or nLOS (near LOS) is required
• Microwave Radio Link frequencies occupy 1-80GHz
Radio Relay Principles
4
Proprietary and Confidential
High and Low frequency station
Local site
High station
Remote site
Low station
High station means: Tx(f1) >Rx(f1’)
Tx(f1)=11500 MHz Rx(f1)=11500 MHz
Rx(f1’)=11000 MHz Tx(f1’)=11000 MHz
Low station means: Tx(f1’) < Rx(f1)
Full duplex
5
Proprietary and Confidential
Frequency reuse:
2,4V
1,3V
1,3H 1,3H 1,3H
Reduced risk for overshoot
Frequency shift:
1,3V
1,3H 2,4H
Reduced risk for overshoot
Only Low stations can interfere High stations
1,3H
Tx in upper part of band
Tx in lower part of band
1,3V
Low High Low High
Tx Tx Tx
Tx
Tx
Tx
Tx
Tx
Tx
Tx
Tx
Tx
Standard frequency plan patterns
6
Proprietary and Confidential
Preferred site location structure
7
Proprietary and Confidential
RF Tx Filter
Branching
Network(*) Feeder
Z' B' C' D'
A'
Feeder
D
Branching
Network(*)
C B
RF Rx Filter
A
Receiver
E
Demodulator
Z
Modulator
E'
RECEIVER PATH
TRANSMITTER PATH
Transmitter
Digital
Line interface
Digital
Line interface Output
signal
Input
signal
Radio Principal Block Diagram
8
Proprietary and Confidential
RF Principals
• RF - System of communication employing electromagnetic waves
(EMW) propagated through space
• EMW travel at the speed of light (300,000 km/s)
• The wave length is determined by the frequency as follows -
Wave Length
• Microwave – refers to very short waves (millimeters) and typically
relates to frequencies above 1GHz:
 300 MHz ~ 1 meter
 10 GHz ~ 3 cm
9
f
c
 where c is the propagation velocity of electromagnetic
waves in vacuum (3x108 m/s)
Proprietary and Confidential
RF Principals
• We can see the relationship between colour, wavelength and amplitude
using this animation
10
Proprietary and Confidential
Radio Spectrum
11
Parameters Affecting Propagation
12
Proprietary and Confidential
Parameters Affecting Propagation
• Dispersion
• Humidity/gas absorption
• Multipath/ducting
• Atmospheric conditions (refraction)
• Terrain (flatness, type, Fresnel zone clearance, diffraction)
• Climatic conditions (rain zone, temperature)
• Rain attenuation
13
Proprietary and Confidential
Parameters Affecting Propagation – Dispersion
• Electromagnetic signal propagating in a physical medium is degraded
because the various wave components (i.e., frequencies, wavelengths)
have different propagation velocities within the physical medium:
• Low frequencies have longer wavelength and refract less
• High frequencies have shorter wavelength and refract more
14
Proprietary and Confidential
Parameters Affecting Propagation
Atmospheric Refraction
15
• Deflection of the beam towards the ground due to different electrical
characteristics of the atmosphere’s is called Dielectric Constant.
• The dielectric constant depends on pressure, temperature &
humidity in the atmosphere, parameters that are normally decrease
with altitude
• Since waves travel faster through thinner medium, the upper part of the
wave will travel faster than the lower part, causing the beam to bend
downwards, following the curve of earth
No Atmosphere
With Atmosphere
Proprietary and Confidential
Wave in atmosphere
Radio rays bends towards the more dense medium N – Radio refractivity
N = (n-1) * 106
= 77.6 / T *(p + 4810 * e /T)
n – refractivity ( speed in
vacuum / speed in media)
T – Temprature Kelvin
P – Total air pressure mbar
e – water vapour pressure hPa
Normal atmosphere:
km
units
N
40


dh
dN
16
Proprietary and Confidential
Parameters Affecting Propagation – Multipath
• Multipath occurs when there is more then one beam reaching the receiver
with different amplitude or phase
• Multipath transmission is the main cause of fading in low frequencies
17
Direct beam
Delayed beam
Proprietary and Confidential
Parameters Affecting Propagation – Duct
• Atmospheric duct refers to a horizontal layer in the lower atmosphere with
vertical refractive index gradients causing radio signals:
• Remain within the duct
• Follow the curvature of the Earth
• Experience less attenuation in the ducts than they would if the ducts were not
present
18
Duct Layer
Terrain
Duct Layer
Proprietary and Confidential
Parameters Affecting Propagation - Polarization and Rain
19
• Raindrops have sizes ranging from 0.1 millimeters to 9 millimeters
mean diameter (above that they tend to break up)
• Smaller drops are called cloud droplets, and their shape is spherical.
• As a raindrop increases in
• size, its shape becomes more
• oblate, with its largest
cross-section facing the
• oncoming airflow.
Large rain drops become
Increasingly flattened on the
Bottom;
very large ones are shaped
like parachutes
Proprietary and Confidential
Parameters Affecting Propagation – Rain Fading
• Refers to scenarios where signal is absorbed by rain, snow, ice
• Absorption becomes significant factor above 11GHz
• Signal quality degrades
• Represented by “dB/km” parameter which is related the rain
density which represented “mm/hr”
• Rain drops falls as flattened droplet
 V better than H (more immune to rain fading)
20
Proprietary and Confidential
Parameters Affecting Propagation – Rain Fading
21
Heavier rain >> Heavier Atten.
Higher FQ >> Higher Attenuation
Proprietary and Confidential
Parameters Affecting Propagation – Fresnel Zone
22
Terrain
Duct Layer0
1st
2nd
3rd
TX RX
1. EMW propagate in beams
2. Some beams widen – therefore, their path is longer
3. A phase shift is introduced between the direct and indirect
beam
4. Thus, ring zones around the direct line are created
Proprietary and Confidential
Parameters Affecting Propagation – Fresnel Zone
• Obstacles in the first Fresnel zone will create signals that will be 0 to 90 degrees out
of phase…in the 2nd zone they will be 90 to 270 degrees out of phase…in 3rd zone,
they will be 270 to 450 degrees out of phase and so on…
• Odd numbered zones are constructive and even numbered zones are destructive.
• When building wireless links, we therefore need to be sure that these zones are kept
free of obstructions.
• In wireless networking the area containing about 40-60 percent of the first Fresnel
zone should be kept free.
23
Proprietary and Confidential
Example: First condition
24
Proprietary and Confidential
RF Link Basic Components – Parabolic Reflector Radiation (antenna)
25
Proprietary and Confidential
RSSI Curve
26
1,9V
1,6V
1,3V
-30dBm -60dbm -90dBm
Proprietary and Confidential
Main Parabolic Antenna Types
27
• Standard performance antennas (SP,LP)
• Used for remote access links with low capacity. Re-using frequencies on adjacent links is not
normally possible due to poor front to back ratio.
• High performance antennas (HP)
• Used for high and low capacity links where only one polarization is used. Re-using frequencies is
possible. Can not be used with co-channel systems.
• High performance dual polarized antennas (HPX)
• Used for high and low capacity links with the possibility to utilize both polarizations. Re-using
frequencies is possible. Can be used for co-channel systems.
• Super high performance dual polarized antennas (HSX)
• Normally used on high capacity links with the possibility to utilize both polarizations. Re-using
frequencies is possible with high interference protection. Ideal for co-channel systems.
• Ultra high performance dual polarized antennas (UHX)
• Normally used on high capacity links with high interference requirements. Re-using frequencies in
many directions is possible. Can be used with co-channel systems.
Proprietary and Confidential
Plane
reflector
Back-to-back
antennas
Passive Repeaters
28
Proprietary and Confidential
Link Calculation – Basic Example (in vacuum)
Lfs
TSL Ga Lfsl Ga Lw
Lb
Lf
RSL
RSL=TSL+Ga-Lfsl+Ga-Lw-Lb-Lf
RSL - Received Signal Level
TSL – Transmitted Signal Level
Lfsl - Free-space loss = 92.45 + 20 log x(distance in km x frequency in GHz)
Lf - Filter loss
Lb - Branching loss
Lw - Waveguide loss
Ga – Antenna gain
29
Proprietary and Confidential
Atmospheric attenuation
30
]
[dB
d
A a
a 

Starts to contribute to the total attenuation above approximately 15GHz
Parameters in a:
 Frequency
 Temperature
 Air pressure
 Water vapour
Proprietary and Confidential
Objective examples
31
• Typical objectives used in real systems
• 99.999%
• Month: 25.9 sec
• Year: 5 min 12 sec
• 99.995 %
• Month: 2 min 10 sec
• Year: 26 min
• 99.99%
• Month: 260 sec
• Year: 51 min
• Performance requirements generally higher than Availability.
• ITU use worst month for Performance Average year for Availability
Modulation
32
Proprietary and Confidential
Modulation
Analog
Modulation
Digital
Modulation
AM - Amplitude modulation ASK – Amplitude Shift Keying
FM - Frequency modulation FSK – Frequency Shift Keying
PM – Phase modulation PSK – Phase Shift Keying
QAM – Quadrature Amplitude modulation
Modulation
33
Proprietary and Confidential
Modem
1 0 1 1 0 1 1 0
1 0 1 1 0 1
1 0
Modem
1 1
1
1 1
0 0 0
0
1
1
1 0 1
1
F1
F2
F1 F1
F2
F1 F1
Modem
1 1 1 1 1
0 0 0
1 0 1 1 0 1 1 0
1800 phase shift
ASK modulation changes the amplitude to the analog
signale.”1” and “ 0” have different amplitude.
FSK modulation is a method of represent the two
binary states ”1” and ”0” with different
spcific frequencies.
PSK modulation changes the phase to the transmitted
signal. The simplest method uses 0 and 1800 .
Digital modulation
34
Proprietary and Confidential
QAM Modulation
• Quadrature Amplitude Modulation employs both phase modulation
(PSK) and amplitude modulation (ASK)
• The input stream is divided into groups of bits based on the number
of modulation states used.
• In 8 QAM, each three bits of input, which provides eight values (0-7)
alters the phase and amplitude of the carrier to derive eight unique
modulation states
• In 64 QAM, each six bits generates 64 modulation states; in 128
QAM, each seven bits generate 128 states, and so on
4QAM 2bits/symbol 256QAM 8bits/symbol
8QAM 3bits/symbol 512QAM 9bits/symbol
16QAM 4bits/symbol 1024QAM 10bits/symbol
32QAM 5bits/symbol 2048QAM 11bits/symbol
64QAM 6bits/symbol
128QAM 7bits/symbol
35
Proprietary and Confidential
Why QAM and not ASK or PSK for higher modulation?
• This is because QAM achieves a greater distance between adjacent points
in the I-Q plane by distributing the points more evenly
• The points on the constellation are more distinct and data errors are
reduced
• Higher modulation >> more bits per symbol
• Constellation points are closer >>TX is more susceptible to noise
36
Proprietary and Confidential
Constellation diagram
• In a more abstract sense, it represents the possible symbols that may be
selected by a given modulation scheme as points in the complex plane.
Measured constellation diagrams can be used to recognize the type of
interference and distortion in a signal.
37
Proprietary and Confidential
8 QAM Modulation Example
• We have stream: 001-010-100-011-101-000-011-110
38
Bit sequence Amplitude Phase (degrees)
000 1 None
001 2 None
010 1 pi/2 (90°)
011 2 pi/2 (90°)
100 1 pi (180°)
101 2 pi (180°)
110 1 3pi/2 (270°)
111 2 3pi/2 (270°)
How does constellation diagram look?
DIGITAL QAM (8QAM)
Proprietary and Confidential
4QAM VS. 16QAM
39
4QAM 16QAM
Proprietary and Confidential
2048 QAM
40
Proprietary and Confidential
2-PSK
4-PSK
8-PSK
16-QAM
64-QAM
Bandwidth
Decreases
Modulation
Complixity
Increases
Bandwidth vs. Modulation
41
Proprietary and Confidential
Power
Noise
Signal
S/N
Power
Noise
S/N
Signal
Power
Noise
S/N
Signal
Power
Noise
S/N
Signal
• Example: S/N influence at QPSK Demodulator
• Each dot detected in wrong quadrant result in bit errors
BER=10-3
BER=10-6
BER<10-13
BER≈0
Signal / Noise
42
Proprietary and Confidential
10-3
10-4
10-5
10-6
10-7
10-8
-75 -72 -69 -66
Receiver input level [dBm]
BER change ratio vs. Noise is
dependent on Noise Power distribution
and coding
BER=
𝐵𝑎𝑑 𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑 𝑏𝑖𝑡𝑠
𝑇𝑜𝑡𝑎𝑙 𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑡𝑡𝑒𝑑 𝑏𝑖𝑡𝑠
BER Impact on Transmission Quality
43
Proprietary and Confidential
RSL Vs. Threshold
44
Thermal Noise=10*log(k*T*B*1000)
S/N=23dB for 128QAM (37 MHz)
BER>10-6
RSL (dBm)
-20
-30 Nominal Input Level
-99
-96 Receiver amplifies thermal noise
-73 Threshold level BER=10-6
Fading Margin
K – Boltzmann constant
T – Temperature in Kelvin
B – Bandwidth
Time (s)
BER>10-6
Thank you
45

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Intro to Radio Systems. imagens e modelos

  • 1. Version 4 Introduction to Radio Systems May 2015
  • 2. Proprietary and Confidential Agenda 2 • Radio Relay Principles • Parameters affecting propagations: • Dispersion • Humidity/gas absorption • Multipath/ducting • Atmospheric conditions (refraction) • Terrain (flatness, type, Fresnel zone clearance, diffraction) • Climatic conditions (rain zone, temperature) • Rain attenuation • Modulation
  • 3. Proprietary and Confidential Digital Transmission Systems 3
  • 4. Proprietary and Confidential RF Signal Path Terrain f1 f1’ • A Radio Link requires two end stations • A line of sight (LOS) or nLOS (near LOS) is required • Microwave Radio Link frequencies occupy 1-80GHz Radio Relay Principles 4
  • 5. Proprietary and Confidential High and Low frequency station Local site High station Remote site Low station High station means: Tx(f1) >Rx(f1’) Tx(f1)=11500 MHz Rx(f1)=11500 MHz Rx(f1’)=11000 MHz Tx(f1’)=11000 MHz Low station means: Tx(f1’) < Rx(f1) Full duplex 5
  • 6. Proprietary and Confidential Frequency reuse: 2,4V 1,3V 1,3H 1,3H 1,3H Reduced risk for overshoot Frequency shift: 1,3V 1,3H 2,4H Reduced risk for overshoot Only Low stations can interfere High stations 1,3H Tx in upper part of band Tx in lower part of band 1,3V Low High Low High Tx Tx Tx Tx Tx Tx Tx Tx Tx Tx Tx Tx Standard frequency plan patterns 6
  • 7. Proprietary and Confidential Preferred site location structure 7
  • 8. Proprietary and Confidential RF Tx Filter Branching Network(*) Feeder Z' B' C' D' A' Feeder D Branching Network(*) C B RF Rx Filter A Receiver E Demodulator Z Modulator E' RECEIVER PATH TRANSMITTER PATH Transmitter Digital Line interface Digital Line interface Output signal Input signal Radio Principal Block Diagram 8
  • 9. Proprietary and Confidential RF Principals • RF - System of communication employing electromagnetic waves (EMW) propagated through space • EMW travel at the speed of light (300,000 km/s) • The wave length is determined by the frequency as follows - Wave Length • Microwave – refers to very short waves (millimeters) and typically relates to frequencies above 1GHz:  300 MHz ~ 1 meter  10 GHz ~ 3 cm 9 f c  where c is the propagation velocity of electromagnetic waves in vacuum (3x108 m/s)
  • 10. Proprietary and Confidential RF Principals • We can see the relationship between colour, wavelength and amplitude using this animation 10
  • 13. Proprietary and Confidential Parameters Affecting Propagation • Dispersion • Humidity/gas absorption • Multipath/ducting • Atmospheric conditions (refraction) • Terrain (flatness, type, Fresnel zone clearance, diffraction) • Climatic conditions (rain zone, temperature) • Rain attenuation 13
  • 14. Proprietary and Confidential Parameters Affecting Propagation – Dispersion • Electromagnetic signal propagating in a physical medium is degraded because the various wave components (i.e., frequencies, wavelengths) have different propagation velocities within the physical medium: • Low frequencies have longer wavelength and refract less • High frequencies have shorter wavelength and refract more 14
  • 15. Proprietary and Confidential Parameters Affecting Propagation Atmospheric Refraction 15 • Deflection of the beam towards the ground due to different electrical characteristics of the atmosphere’s is called Dielectric Constant. • The dielectric constant depends on pressure, temperature & humidity in the atmosphere, parameters that are normally decrease with altitude • Since waves travel faster through thinner medium, the upper part of the wave will travel faster than the lower part, causing the beam to bend downwards, following the curve of earth No Atmosphere With Atmosphere
  • 16. Proprietary and Confidential Wave in atmosphere Radio rays bends towards the more dense medium N – Radio refractivity N = (n-1) * 106 = 77.6 / T *(p + 4810 * e /T) n – refractivity ( speed in vacuum / speed in media) T – Temprature Kelvin P – Total air pressure mbar e – water vapour pressure hPa Normal atmosphere: km units N 40   dh dN 16
  • 17. Proprietary and Confidential Parameters Affecting Propagation – Multipath • Multipath occurs when there is more then one beam reaching the receiver with different amplitude or phase • Multipath transmission is the main cause of fading in low frequencies 17 Direct beam Delayed beam
  • 18. Proprietary and Confidential Parameters Affecting Propagation – Duct • Atmospheric duct refers to a horizontal layer in the lower atmosphere with vertical refractive index gradients causing radio signals: • Remain within the duct • Follow the curvature of the Earth • Experience less attenuation in the ducts than they would if the ducts were not present 18 Duct Layer Terrain Duct Layer
  • 19. Proprietary and Confidential Parameters Affecting Propagation - Polarization and Rain 19 • Raindrops have sizes ranging from 0.1 millimeters to 9 millimeters mean diameter (above that they tend to break up) • Smaller drops are called cloud droplets, and their shape is spherical. • As a raindrop increases in • size, its shape becomes more • oblate, with its largest cross-section facing the • oncoming airflow. Large rain drops become Increasingly flattened on the Bottom; very large ones are shaped like parachutes
  • 20. Proprietary and Confidential Parameters Affecting Propagation – Rain Fading • Refers to scenarios where signal is absorbed by rain, snow, ice • Absorption becomes significant factor above 11GHz • Signal quality degrades • Represented by “dB/km” parameter which is related the rain density which represented “mm/hr” • Rain drops falls as flattened droplet  V better than H (more immune to rain fading) 20
  • 21. Proprietary and Confidential Parameters Affecting Propagation – Rain Fading 21 Heavier rain >> Heavier Atten. Higher FQ >> Higher Attenuation
  • 22. Proprietary and Confidential Parameters Affecting Propagation – Fresnel Zone 22 Terrain Duct Layer0 1st 2nd 3rd TX RX 1. EMW propagate in beams 2. Some beams widen – therefore, their path is longer 3. A phase shift is introduced between the direct and indirect beam 4. Thus, ring zones around the direct line are created
  • 23. Proprietary and Confidential Parameters Affecting Propagation – Fresnel Zone • Obstacles in the first Fresnel zone will create signals that will be 0 to 90 degrees out of phase…in the 2nd zone they will be 90 to 270 degrees out of phase…in 3rd zone, they will be 270 to 450 degrees out of phase and so on… • Odd numbered zones are constructive and even numbered zones are destructive. • When building wireless links, we therefore need to be sure that these zones are kept free of obstructions. • In wireless networking the area containing about 40-60 percent of the first Fresnel zone should be kept free. 23
  • 25. Proprietary and Confidential RF Link Basic Components – Parabolic Reflector Radiation (antenna) 25
  • 26. Proprietary and Confidential RSSI Curve 26 1,9V 1,6V 1,3V -30dBm -60dbm -90dBm
  • 27. Proprietary and Confidential Main Parabolic Antenna Types 27 • Standard performance antennas (SP,LP) • Used for remote access links with low capacity. Re-using frequencies on adjacent links is not normally possible due to poor front to back ratio. • High performance antennas (HP) • Used for high and low capacity links where only one polarization is used. Re-using frequencies is possible. Can not be used with co-channel systems. • High performance dual polarized antennas (HPX) • Used for high and low capacity links with the possibility to utilize both polarizations. Re-using frequencies is possible. Can be used for co-channel systems. • Super high performance dual polarized antennas (HSX) • Normally used on high capacity links with the possibility to utilize both polarizations. Re-using frequencies is possible with high interference protection. Ideal for co-channel systems. • Ultra high performance dual polarized antennas (UHX) • Normally used on high capacity links with high interference requirements. Re-using frequencies in many directions is possible. Can be used with co-channel systems.
  • 29. Proprietary and Confidential Link Calculation – Basic Example (in vacuum) Lfs TSL Ga Lfsl Ga Lw Lb Lf RSL RSL=TSL+Ga-Lfsl+Ga-Lw-Lb-Lf RSL - Received Signal Level TSL – Transmitted Signal Level Lfsl - Free-space loss = 92.45 + 20 log x(distance in km x frequency in GHz) Lf - Filter loss Lb - Branching loss Lw - Waveguide loss Ga – Antenna gain 29
  • 30. Proprietary and Confidential Atmospheric attenuation 30 ] [dB d A a a   Starts to contribute to the total attenuation above approximately 15GHz Parameters in a:  Frequency  Temperature  Air pressure  Water vapour
  • 31. Proprietary and Confidential Objective examples 31 • Typical objectives used in real systems • 99.999% • Month: 25.9 sec • Year: 5 min 12 sec • 99.995 % • Month: 2 min 10 sec • Year: 26 min • 99.99% • Month: 260 sec • Year: 51 min • Performance requirements generally higher than Availability. • ITU use worst month for Performance Average year for Availability
  • 33. Proprietary and Confidential Modulation Analog Modulation Digital Modulation AM - Amplitude modulation ASK – Amplitude Shift Keying FM - Frequency modulation FSK – Frequency Shift Keying PM – Phase modulation PSK – Phase Shift Keying QAM – Quadrature Amplitude modulation Modulation 33
  • 34. Proprietary and Confidential Modem 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 Modem 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 F1 F2 F1 F1 F2 F1 F1 Modem 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1800 phase shift ASK modulation changes the amplitude to the analog signale.”1” and “ 0” have different amplitude. FSK modulation is a method of represent the two binary states ”1” and ”0” with different spcific frequencies. PSK modulation changes the phase to the transmitted signal. The simplest method uses 0 and 1800 . Digital modulation 34
  • 35. Proprietary and Confidential QAM Modulation • Quadrature Amplitude Modulation employs both phase modulation (PSK) and amplitude modulation (ASK) • The input stream is divided into groups of bits based on the number of modulation states used. • In 8 QAM, each three bits of input, which provides eight values (0-7) alters the phase and amplitude of the carrier to derive eight unique modulation states • In 64 QAM, each six bits generates 64 modulation states; in 128 QAM, each seven bits generate 128 states, and so on 4QAM 2bits/symbol 256QAM 8bits/symbol 8QAM 3bits/symbol 512QAM 9bits/symbol 16QAM 4bits/symbol 1024QAM 10bits/symbol 32QAM 5bits/symbol 2048QAM 11bits/symbol 64QAM 6bits/symbol 128QAM 7bits/symbol 35
  • 36. Proprietary and Confidential Why QAM and not ASK or PSK for higher modulation? • This is because QAM achieves a greater distance between adjacent points in the I-Q plane by distributing the points more evenly • The points on the constellation are more distinct and data errors are reduced • Higher modulation >> more bits per symbol • Constellation points are closer >>TX is more susceptible to noise 36
  • 37. Proprietary and Confidential Constellation diagram • In a more abstract sense, it represents the possible symbols that may be selected by a given modulation scheme as points in the complex plane. Measured constellation diagrams can be used to recognize the type of interference and distortion in a signal. 37
  • 38. Proprietary and Confidential 8 QAM Modulation Example • We have stream: 001-010-100-011-101-000-011-110 38 Bit sequence Amplitude Phase (degrees) 000 1 None 001 2 None 010 1 pi/2 (90°) 011 2 pi/2 (90°) 100 1 pi (180°) 101 2 pi (180°) 110 1 3pi/2 (270°) 111 2 3pi/2 (270°) How does constellation diagram look? DIGITAL QAM (8QAM)
  • 39. Proprietary and Confidential 4QAM VS. 16QAM 39 4QAM 16QAM
  • 42. Proprietary and Confidential Power Noise Signal S/N Power Noise S/N Signal Power Noise S/N Signal Power Noise S/N Signal • Example: S/N influence at QPSK Demodulator • Each dot detected in wrong quadrant result in bit errors BER=10-3 BER=10-6 BER<10-13 BER≈0 Signal / Noise 42
  • 43. Proprietary and Confidential 10-3 10-4 10-5 10-6 10-7 10-8 -75 -72 -69 -66 Receiver input level [dBm] BER change ratio vs. Noise is dependent on Noise Power distribution and coding BER= 𝐵𝑎𝑑 𝑟𝑒𝑐𝑒𝑖𝑣𝑒𝑑 𝑏𝑖𝑡𝑠 𝑇𝑜𝑡𝑎𝑙 𝑡𝑟𝑎𝑛𝑠𝑚𝑖𝑡𝑡𝑒𝑑 𝑏𝑖𝑡𝑠 BER Impact on Transmission Quality 43
  • 44. Proprietary and Confidential RSL Vs. Threshold 44 Thermal Noise=10*log(k*T*B*1000) S/N=23dB for 128QAM (37 MHz) BER>10-6 RSL (dBm) -20 -30 Nominal Input Level -99 -96 Receiver amplifies thermal noise -73 Threshold level BER=10-6 Fading Margin K – Boltzmann constant T – Temperature in Kelvin B – Bandwidth Time (s) BER>10-6