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Antennas and
Propagation
Chapter 5
Introduction
 An antenna is an electrical conductor or
system of conductors
 TRANSMISSION OF A SIGNAL
Convert Radio frequency electrical energy from
the transmitter to electromagnetic energy
Radiates Electromagnetic energy into space
 RECEPTION OF A SIGNAL
Collects electromagnetic energy from space
Convert Electromagnetic signal to Radio
Frequency electrical energy signal back to
receiver
 - ,In two way communication the same
antenna can be used for transmission and
reception
Radiation Patterns
 Radiation pattern
 Graphical representation of radiation
properties of an antenna
 A common way to characterize the
performance of an antennas
 -Depicted as two dimensional cross section
 Beam width ( -or half power beam
)width
 Measure of directivity of antenna
 Reception pattern
 ’Receiving antenna s equivalent to radiation
pattern
Types of Antennas
 ( )Isotropic antenna idealized
 Radiates power equally in all directions
 The radiation pattern provides a convenient means of
,determining the beam width of an antenna which is a
.common measure of the directivity of an antenna
 , -The beam width also referred to as the half power
,beam width is the angle within which the power
radiated by the antenna is at least half of what it is in
the most preferred direction
Types of Antennas
 Dipole antennas
 H -alf wave dipole antenna
( )or Hertz antenna
 -Quarter wave vertical antenna
( )or Marconi antenna
 Parabolic Reflective Antenna
 A parabola is the locus of all points equidistant
.from a fixed line and a fixed point not on the line
 :Focus The fixed point is called Focus
 Directix: The fixed line is called Directix
Antenna Gain
 Antenna gain
 The measure of directionality of an antenna
 , ,Power output in a particular direction compared to
that produced in any direction by a perfect
( )omnidirectional antenna isotropic antenna
 Effective area
  is a measure of how effective an antenna is at
receiving the power of radio waves
 Related to physical size and shape of antenna
Antenna Gain
 Relationship between antenna gain
and effective area
 G = antenna gain
 Ae = effective area
 f = carrier frequency
 = (»c speed of light 3 ´ 108
/ )m s
 λ = carrier wavelength
2
2
2
44
c
AfA
G ee π
λ
π
==
Propagation Modes
 -Ground wave propagation
 -Sky wave propagation
 - -Line of sight propagation
Ground Wave
Propagation
Ground Wave
Propagation Follows contour of the earth
 Can Propagate considerable distances
 Frequencies up to 2 MHz
 Example
 AM radio
Sky Wave Propagation
Sky Wave Propagation
 ( - )Frequency range of 2 30 MHz
 Signal reflected from ionized layer of
atmosphere back down to earth
 ,Signal can travel a number of hops
back and forth between ionosphere and
’earth s surface
 Reflection effect caused by refraction
 Examples
 Amateur radio
 ( )CB radio Citizen band Radio
- -Line of Sight
Propagation
- -Line of Sight
Propagation Above 30 MHz
 Transmitting and receiving antennas must be
within line of sight
 Satellite communication – signal above 30 MHz
not reflected by ionosphere
 Ground communication – antennas within effective
line of site due to refraction
 Refraction – bending of microwaves by the
atmosphere
 Velocity of electromagnetic wave is a function of the
density of the medium
 ,When wave changes medium speed changes
 Wave bends at the boundary between mediums
- -Line of Sight Equations
 ( )Optical line of sight With no intervening obstacle
 , ,Effective or radio line of sight
 d = ( )distance between antenna and horizon km
 h = ( )antenna height m
 = ,K adjustment factor to account for refraction rule of
= /thumb K 4 3
hd 57.3=
hd Κ= 57.3
- -Line of Sight Equations
 Maximum distance between two antennas for
:LOS propagation
 h1 = height of antenna one
 h2 = height of antenna two
( )2157.3 hh Κ+Κ
LOS Wireless
Transmission
Impairments
 Attenuation and attenuation distortion
 Free space loss
 Noise
 Atmospheric absorption
 Multipath
 Refraction
 Thermal noise
Attenuation
 Strength of signal falls off with
distance over transmission medium
 Attenuation factors for unguided
:media
 Received signal must have sufficient
strength so that circuitry in the receiver
can interpret the signal
 Signal must maintain a level sufficiently
higher than noise to be received without
error
 Attenuation is greater at higher
,frequencies causing distortion
Free Space Loss
 For any type of wireless communication the
. ,signal disperses with distance Therefore an
antenna with a fixed area will receive less
signal power the farther it is from the
.transmitting antenna
 For satellite communication this is the primary
.mode of signal loss Even if no other sources
,of attenuation or impairment are assumed a
transmitted signal attenuates over distance
because the signal is being spread over a
.larger and larger area This form of attenuation
is known as free space loss
Free Space Loss
 ,Free space loss ideal isotropic antenna
 Pt = signal power at transmitting antenna
 Pr = signal power at receiving antenna
 λ = carrier wavelength
 d = propagation distance between antennas
 c = (» / )speed of light 3 ´ 10 8 m s
where d and λ ( . ., )are in the same units e g meters
( ) ( )
2
2
2
2
44
c
fdd
P
P
r
t π
λ
π
==
Free Space Loss
 :Free space loss equation can be recast






==
λ
πd
P
P
L
r
t
dB
4
log20log10
( ) ( ) dB98.21log20log20 ++−= dλ
( ) ( ) dB56.147log20log20
4
log20 −+=





= df
c
fdπ
Free Space Loss
 Free space loss accounting for gain
of other antennas
 Gt = gain of transmitting antenna
 Gr = gain of receiving antenna
 At = effective area of transmitting antenna
 Ar = effective area of receiving antenna
( ) ( ) ( ) ( )
trtrtrr
t
AAf
cd
AA
d
GG
d
P
P
2
22
2
22
4
===
λ
λ
π
Free Space Loss
 Free space loss accounting for gain of
other antennas can be recast as
( ) ( ) ( )rtdB AAdL log10log20log20 −+= λ
( ) ( ) ( ) dB54.169log10log20log20 +−+−= rt AAdf
Categories of Noise
 Thermal Noise
 Intermodulation noise
 Crosstalk
 Impulse Noise
Thermal Noise
 Thermal noise due to agitation of electrons
 Present in all electronic devices and
transmission media
 Cannot be eliminated
 Function of temperature
 Particularly significant for satellite communication
because of the weakness of the signal received
at satellite substation
Thermal Noise
 Amount of thermal noise to be found in
a bandwidth of 1Hz in any device or
:conductor is
 N0 = noise power density in watts per 1 Hz of
bandwidth
 = = .k Boltzmann's constant 1 3803 ´ 10-23
/J K
 T = , ( )temperature in kelvins absolute temperature
( )W/Hzk0 TN =
Thermal Noise
 Noise is assumed to be
independent of frequency
 Thermal noise present in a
bandwidth of B ( ):Hertz in watts
, -or in decibel watts
TBN k=
BTN log10log10klog10 ++=
BT log10log10dBW6.228 ++−=
Noise Terminology
 Intermodulation noise – occurs if signals with
different frequencies share the same medium
 Interference caused by a signal produced at a frequency
that is the sum or difference of original frequencies
 Crosstalk – unwanted coupling between signal
. .paths e g unwanted signal picked up by
microwave antenna or electrical coupling between
nearby twisted pair or rarely coax cable line
carrying multiple signal
 Impulse noise – irregular pulses or noise spikes
 Short duration and of relatively high amplitude
 ,Caused by external electromagnetic disturbances lightning
or faults and flaws in the communications system
Expression Eb/N0
 Ratio of signal energy per bit to noise
power density per Hertz
 The bit error rate for digital data is a
function of Eb/N0
 Given a value for Eb/N0 to achieve a desired
,error rate parameters of this formula can be
selected
 As bit rate R ,increases transmitted signal
power must increase to maintain required
Eb/N0
TR
S
N
RS
N
Eb
k
/
00
==
Other Impairments
 Atmospheric absorption – water vapor and oxygen
( –contribute to attenuation 22GHz peak attenuation 15
)GHz low attenuation
 Multipath – obstacles reflect signals so that multiple
(copies with varying delays are received mobile
, )telephony there are obstacles in abundance
 Refraction – bending of radio waves as they
propagate through the atmosphere
Multipath Propagation
Multipath Propagation
 Reflection - occurs when signal
encounters a surface that is large relative
to the wavelength of the signal
 Diffraction - occurs at the edge of an
impenetrable body that is large compared to
wavelength of radio wave
 Scattering – occurs when incoming signal
hits an object whose size in the order of
the wavelength of the signal or less
The Effects of Multipath
Propagation
 Multiple copies of a signal may arrive
at different phases
 ,If phases add destructively the signal
,level relative to noise declines making
detection more difficult
 ( )Inter symbol interference ISI
 One or more delayed copies of a pulse
may arrive at the same time as the
primary pulse for a subsequent bit
Types of Fading
 Fast fading-
 900MHz
 20 or 30dB change in amplitude over short distance
 Slow fading
 Due to change in average received power level to
which fluctuation occurs
 ( - )Flat fading Non selective Fading
 In which all frequency components of the received
signal fluctuates in the same proportions
simultaneously
Types of Fading
 Selective fading
 affects unequally the different spectral components
of a radio signal
 Rayleigh fading
 occurs when there are multiple indirect paths
between transmitter and receiver and no distinct
,dominant path such as an LOS path
 Rician fading
 best characterizes a situation where there is a
direct LOS path in addition to a number of Sindirect
multipath signals
Error Compensation
Mechanisms
 Forward error correction
 Adaptive equalization
 Diversity techniques
Forward Error
Correction Occurs in digital data
 -Transmitter adds error correcting code to
data block
 Code is a function of the data bits
 -Receiver calculates error correcting code
from incoming data bits
 ,If calculated code matches incoming code
no error occurred
 - ’ ,If error correcting codes don t match
receiver attempts to determine bits in error
and correct
Adaptive Equalization
 Can be applied to transmissions that carry
analog or digital information
 Analog voice or video
 ,Digital data digitized voice or video
 Used to combat inter symbol
( )interference ISI
 Involves gathering dispersed symbol
energy back into its original time interval
 Techniques
 Lumped analog circuits
 Sophisticated digital signal processing
algorithms

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Chapter#14
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Chapter#5

  • 2. Introduction  An antenna is an electrical conductor or system of conductors  TRANSMISSION OF A SIGNAL Convert Radio frequency electrical energy from the transmitter to electromagnetic energy Radiates Electromagnetic energy into space  RECEPTION OF A SIGNAL Collects electromagnetic energy from space Convert Electromagnetic signal to Radio Frequency electrical energy signal back to receiver  - ,In two way communication the same antenna can be used for transmission and reception
  • 3. Radiation Patterns  Radiation pattern  Graphical representation of radiation properties of an antenna  A common way to characterize the performance of an antennas  -Depicted as two dimensional cross section  Beam width ( -or half power beam )width  Measure of directivity of antenna  Reception pattern  ’Receiving antenna s equivalent to radiation pattern
  • 4. Types of Antennas  ( )Isotropic antenna idealized  Radiates power equally in all directions  The radiation pattern provides a convenient means of ,determining the beam width of an antenna which is a .common measure of the directivity of an antenna  , -The beam width also referred to as the half power ,beam width is the angle within which the power radiated by the antenna is at least half of what it is in the most preferred direction
  • 5. Types of Antennas  Dipole antennas  H -alf wave dipole antenna ( )or Hertz antenna  -Quarter wave vertical antenna ( )or Marconi antenna  Parabolic Reflective Antenna  A parabola is the locus of all points equidistant .from a fixed line and a fixed point not on the line  :Focus The fixed point is called Focus  Directix: The fixed line is called Directix
  • 6. Antenna Gain  Antenna gain  The measure of directionality of an antenna  , ,Power output in a particular direction compared to that produced in any direction by a perfect ( )omnidirectional antenna isotropic antenna  Effective area   is a measure of how effective an antenna is at receiving the power of radio waves  Related to physical size and shape of antenna
  • 7. Antenna Gain  Relationship between antenna gain and effective area  G = antenna gain  Ae = effective area  f = carrier frequency  = (»c speed of light 3 ´ 108 / )m s  λ = carrier wavelength 2 2 2 44 c AfA G ee π λ π ==
  • 8. Propagation Modes  -Ground wave propagation  -Sky wave propagation  - -Line of sight propagation
  • 10. Ground Wave Propagation Follows contour of the earth  Can Propagate considerable distances  Frequencies up to 2 MHz  Example  AM radio
  • 12. Sky Wave Propagation  ( - )Frequency range of 2 30 MHz  Signal reflected from ionized layer of atmosphere back down to earth  ,Signal can travel a number of hops back and forth between ionosphere and ’earth s surface  Reflection effect caused by refraction  Examples  Amateur radio  ( )CB radio Citizen band Radio
  • 13. - -Line of Sight Propagation
  • 14. - -Line of Sight Propagation Above 30 MHz  Transmitting and receiving antennas must be within line of sight  Satellite communication – signal above 30 MHz not reflected by ionosphere  Ground communication – antennas within effective line of site due to refraction  Refraction – bending of microwaves by the atmosphere  Velocity of electromagnetic wave is a function of the density of the medium  ,When wave changes medium speed changes  Wave bends at the boundary between mediums
  • 15. - -Line of Sight Equations  ( )Optical line of sight With no intervening obstacle  , ,Effective or radio line of sight  d = ( )distance between antenna and horizon km  h = ( )antenna height m  = ,K adjustment factor to account for refraction rule of = /thumb K 4 3 hd 57.3= hd Κ= 57.3
  • 16. - -Line of Sight Equations  Maximum distance between two antennas for :LOS propagation  h1 = height of antenna one  h2 = height of antenna two ( )2157.3 hh Κ+Κ
  • 17. LOS Wireless Transmission Impairments  Attenuation and attenuation distortion  Free space loss  Noise  Atmospheric absorption  Multipath  Refraction  Thermal noise
  • 18. Attenuation  Strength of signal falls off with distance over transmission medium  Attenuation factors for unguided :media  Received signal must have sufficient strength so that circuitry in the receiver can interpret the signal  Signal must maintain a level sufficiently higher than noise to be received without error  Attenuation is greater at higher ,frequencies causing distortion
  • 19. Free Space Loss  For any type of wireless communication the . ,signal disperses with distance Therefore an antenna with a fixed area will receive less signal power the farther it is from the .transmitting antenna  For satellite communication this is the primary .mode of signal loss Even if no other sources ,of attenuation or impairment are assumed a transmitted signal attenuates over distance because the signal is being spread over a .larger and larger area This form of attenuation is known as free space loss
  • 20. Free Space Loss  ,Free space loss ideal isotropic antenna  Pt = signal power at transmitting antenna  Pr = signal power at receiving antenna  λ = carrier wavelength  d = propagation distance between antennas  c = (» / )speed of light 3 ´ 10 8 m s where d and λ ( . ., )are in the same units e g meters ( ) ( ) 2 2 2 2 44 c fdd P P r t π λ π ==
  • 21. Free Space Loss  :Free space loss equation can be recast       == λ πd P P L r t dB 4 log20log10 ( ) ( ) dB98.21log20log20 ++−= dλ ( ) ( ) dB56.147log20log20 4 log20 −+=      = df c fdπ
  • 22. Free Space Loss  Free space loss accounting for gain of other antennas  Gt = gain of transmitting antenna  Gr = gain of receiving antenna  At = effective area of transmitting antenna  Ar = effective area of receiving antenna ( ) ( ) ( ) ( ) trtrtrr t AAf cd AA d GG d P P 2 22 2 22 4 === λ λ π
  • 23. Free Space Loss  Free space loss accounting for gain of other antennas can be recast as ( ) ( ) ( )rtdB AAdL log10log20log20 −+= λ ( ) ( ) ( ) dB54.169log10log20log20 +−+−= rt AAdf
  • 24. Categories of Noise  Thermal Noise  Intermodulation noise  Crosstalk  Impulse Noise
  • 25. Thermal Noise  Thermal noise due to agitation of electrons  Present in all electronic devices and transmission media  Cannot be eliminated  Function of temperature  Particularly significant for satellite communication because of the weakness of the signal received at satellite substation
  • 26. Thermal Noise  Amount of thermal noise to be found in a bandwidth of 1Hz in any device or :conductor is  N0 = noise power density in watts per 1 Hz of bandwidth  = = .k Boltzmann's constant 1 3803 ´ 10-23 /J K  T = , ( )temperature in kelvins absolute temperature ( )W/Hzk0 TN =
  • 27. Thermal Noise  Noise is assumed to be independent of frequency  Thermal noise present in a bandwidth of B ( ):Hertz in watts , -or in decibel watts TBN k= BTN log10log10klog10 ++= BT log10log10dBW6.228 ++−=
  • 28. Noise Terminology  Intermodulation noise – occurs if signals with different frequencies share the same medium  Interference caused by a signal produced at a frequency that is the sum or difference of original frequencies  Crosstalk – unwanted coupling between signal . .paths e g unwanted signal picked up by microwave antenna or electrical coupling between nearby twisted pair or rarely coax cable line carrying multiple signal  Impulse noise – irregular pulses or noise spikes  Short duration and of relatively high amplitude  ,Caused by external electromagnetic disturbances lightning or faults and flaws in the communications system
  • 29. Expression Eb/N0  Ratio of signal energy per bit to noise power density per Hertz  The bit error rate for digital data is a function of Eb/N0  Given a value for Eb/N0 to achieve a desired ,error rate parameters of this formula can be selected  As bit rate R ,increases transmitted signal power must increase to maintain required Eb/N0 TR S N RS N Eb k / 00 ==
  • 30. Other Impairments  Atmospheric absorption – water vapor and oxygen ( –contribute to attenuation 22GHz peak attenuation 15 )GHz low attenuation  Multipath – obstacles reflect signals so that multiple (copies with varying delays are received mobile , )telephony there are obstacles in abundance  Refraction – bending of radio waves as they propagate through the atmosphere
  • 32. Multipath Propagation  Reflection - occurs when signal encounters a surface that is large relative to the wavelength of the signal  Diffraction - occurs at the edge of an impenetrable body that is large compared to wavelength of radio wave  Scattering – occurs when incoming signal hits an object whose size in the order of the wavelength of the signal or less
  • 33. The Effects of Multipath Propagation  Multiple copies of a signal may arrive at different phases  ,If phases add destructively the signal ,level relative to noise declines making detection more difficult  ( )Inter symbol interference ISI  One or more delayed copies of a pulse may arrive at the same time as the primary pulse for a subsequent bit
  • 34. Types of Fading  Fast fading-  900MHz  20 or 30dB change in amplitude over short distance  Slow fading  Due to change in average received power level to which fluctuation occurs  ( - )Flat fading Non selective Fading  In which all frequency components of the received signal fluctuates in the same proportions simultaneously
  • 35. Types of Fading  Selective fading  affects unequally the different spectral components of a radio signal  Rayleigh fading  occurs when there are multiple indirect paths between transmitter and receiver and no distinct ,dominant path such as an LOS path  Rician fading  best characterizes a situation where there is a direct LOS path in addition to a number of Sindirect multipath signals
  • 36. Error Compensation Mechanisms  Forward error correction  Adaptive equalization  Diversity techniques
  • 37. Forward Error Correction Occurs in digital data  -Transmitter adds error correcting code to data block  Code is a function of the data bits  -Receiver calculates error correcting code from incoming data bits  ,If calculated code matches incoming code no error occurred  - ’ ,If error correcting codes don t match receiver attempts to determine bits in error and correct
  • 38. Adaptive Equalization  Can be applied to transmissions that carry analog or digital information  Analog voice or video  ,Digital data digitized voice or video  Used to combat inter symbol ( )interference ISI  Involves gathering dispersed symbol energy back into its original time interval  Techniques  Lumped analog circuits  Sophisticated digital signal processing algorithms