prof. dr. r. struzak -...
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School on Digital Radio Communications for Research and Training in Developing CountriesThe Abdus Salam International Centre for Theoretical Physics ICTP Trieste (Italy) 9 - 28 February 2004
Property of R. Struzak 1
Antenna theory basicsProf. Dr. R. Struzak
Former Vice-Chairman, Radio Regulations Board, [email protected]
Note: These are preliminary notes, intended only for distribution among the participants. Beware of misprints!
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Purpose
Property of R. Struzak 2
• The purpose of the lecture is to refresh basic concepts related to the antenna physics that are needed to understand better the operation and design of microwave digital radio links
– Note: Due to time limitations, we will focus here only on these aspects that are critical for microwave LAN/ WAN applications.
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Main topics for discussion
Property of R. Struzak 3
• Antenna concept & Reciprocity Theorem• Point-antenna, Isotropic antenna• Antenna impedance, radiation pattern, &
gain• E.I.R.P. and Power Transfer• Examples
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Intended & Unintended Antennas
Property of R. Struzak 4
• Intended antennas– Radiocommunication antennas– Measuring antennas, EM sensors, probes– EM applicators (Industrial, Medical)
• Unintended antennas– Any conductor/ installation carrying electrical current that vary in
time (e.g. electrical installation of vehicles) or any slot/ opening in the device/ cable screen
– Any conducting structure/ installation irradiated by EM waves – Stationary (e.g. antenna masts or power line wires)– Time-varying (e.g. windmill or helicopter propellers) – Transient (e.g. aeroplanes, missiles)
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Antenna function
Property of R. Struzak 5
• Transformation of a guided EM wave in transmission line into a freely propagating EM wave in space (or vice versa)– From time-function in 1-D geometrical
space into time-function in 3-D space (3-D geometrical space, polarization)
• The specific form of the radiated wave is defined by the antenna structure and its closest environment
Space wave
Guided wave
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Transition
Property of R. Struzak 6
• If there is an inhomogeneity(obstacle) a reflected wave, standing wave, & higher field modes appear
• With pure standing wave the energy is stored and oscillates from entirely electric to entirely magnetic and back
• Model: a resonator – Q = (energy stored) / (energy
lost) per cycle, as in LC resonant LC circuits
• Kraus p.2
Uniform wave traveling along the line
Transition region
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Dipole over plane
Property of R. Struzak 7
Broadband Thick wire
Smooth
Narrowband
Thin wire
Sharp
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3 functions
Property of R. Struzak 8
• Antenna– Must be of a size comparable with the wavelength to be
an efficient radiator
• Transmission line– Must be homogenous as much as possible to avoid
power reflections, otherwise use matching devices
• Resonator– For broadband applications resonances must be
attenuated
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Antenna impedance
Property of R. Struzak 9
RL
RR
← jX - Energy stored in H, and E near-fieldcomponents; must be compensated by matching devices
← Energy radiated = transformed into heat in space (E & H, far-field components); must be matched to the transmission line
← Energy lost = transformed into heat in the antenna structure and nearby; must be minimized
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Maxwell’s Equations
Property of R. Struzak 10
• EM field interacting with the matter– 2 coupled vectors E and H (6 numbers!), varying with
time and space and satisfying the boundary conditions• Reciprocity Theorem
– Antenna characteristics do not depend on the direction of energy flow. The impedance & radiation pattern are the same when the antenna radiates signal and when it receives it (re-radiates).
– Note: This theorem is valid only for linear passive antennas (i.e. antennas that do not contain nonlinear and unilateral elements, e.g. amplifiers)
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EM Field of Current Element
Property of R. Struzak 11
ϕϑ
ϕϑ
HHHH
EEEE
r
r
++=
++=
I: current (monochromatic) [A]; dz: antenna element (short) [m]x
y
z
θ
ϕ
OP
r
ErEθ
Eϕ
I, dz 222
222
ϕϑ
ϕϑ
HHHH
EEEE
r
r
++=
++=
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Short dipole antenna: summary
Property of R. Struzak 12
• Eθ & Hθ are maximal in the equatorial plane, zero along the antenna axis
• Er is maximal along the antenna axis dz, zero in the equatorial plane • All show axial symmetry • All are proportional to the current moment Idz• Have 3 components that decrease with the distance-to-wavelength ratio
as – (r/λ)-2 & (r/λ)-3: near-field, or induction field. The energy oscillates from
entirely electric to entirely magnetic and back, twice per cycle. Modeled as a resonant LC circuit or resonator;
– (r/λ)-1: far-field or radiation field – These 3 component are all equal at (r/λ) = 1/(2π)
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Property of R. Struzak 13
Field components
0.001
0.01
0.1
1
10
100
1000
0.1 1 10
Relative distance, Br
Rel
ativ
e fie
ldst
reng
th
FF
FF
Q
Q
C
C
FF: Radiation field
C, Q: Induction fields
β
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Field impedance
Property of R. Struzak 14
Field impedanceZ = E/H depends on the antenna type and on distance
0.01
0.1
1
10
100
0.01 0.1 1 10 100
Distance / (lambda/ 2Pi)
Z / 3
77
Short dipole
Small loop
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Far-Field, Near-Field
Property of R. Struzak 15
• Near-field region: – Angular distribution of energy depends on
distance from the antenna; – Reactive field components dominate (L, C)
• Far-field region: – Angular distribution of energy is independent on
distance; – Radiating field component dominates (R)– The resultant EM field can locally be treated as
uniform (TEM)
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Poynting vector
Property of R. Struzak 16
• The time-rate of EM energy flow per unit area in free space is the Poynting vector.
• It is the cross-product (vector product, right-hand screw direction) of the electric field vector (E) and the magnetic field vector (H): P = E x H.
• For the elementary dipole Eθ ⊥ Hθ and only EθxHθcarry energy into space with the speed of light.
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Power Flow
Property of R. Struzak 17
• In free space and at large distances, the radiated energy streams from the antenna in radial lines, i.e. the Poynting vector has only the radial component in spherical coordinates.
• A source that radiates uniformly in all directions is an isotropic source (radiator, antenna). For such a source the radial component of the Poynting vector is independent of θ and ϕ.
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Linear Antennas
Property of R. Struzak 18
• Summation of all vector components E (or H) produced by each antenna element
• In the far-field region, the vector componentsare parallel to each other
• Method of moments
...
...
321
321
+++=
+++=
HHHH
EEEEO
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Simulated experiment
Property of R. Struzak 19
• http://www.amanogawa.com– Linear dipole antenna java applet – change the
dipole length
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Planar (printed) antennas
Property of R. Struzak 20
F F
Slot
FF
• Slot & complementary antennas
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Reflector antenna
Property of R. Struzak 21
• Intended reflector antenna allows maintaining radio link in non-LOS conditions (avoiding propagation obstacles)
• Unintended antenna create interference
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Reflector-type antennas
Property of R. Struzak 22
• Reflector concentrates energy radiated • Kraus p.324
Laboratory!
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The Green Bank Telescope
Property of R. Struzak 23
The largest (140m), fully steerable telescope in the world (Green Bank W. Virginia). Its 8000 ton surface points to targets with arcsecondprecision. (1998)
[Sky & Telescope, Feb. 1997 p.28]
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The Arecibo Radio Telescope
Property of R. Struzak 24
The world’s largest (1000-foot) single “dish”.
[Sky & Telescope Feb 1997 p. 29]
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Simple reflector antennas
Property of R. Struzak 25
• Uda-Yagi, Log-periodic antennas
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Reflection & Image Theory
Property of R. Struzak 26
• Antenna above perfectly conducting plane surface
• Tangential electrical field component = 0– vertical components: the
same direction– horizontal components:
opposite directions• The field (above the
ground) is the same as if the ground is replaced by the antenna image
+
-
Elliptical polarization: change of the rotation sense!
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Lens-type antennas
Property of R. Struzak 27
• Retardation of the wave in dielectric lens– Natural dielectric – Artificial dielectric
• Acceleration of the wave in the metal-plate waveguide-type lens
• Kraus p.382
Incident waveform
Transformed waveform
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Aperture-antenna
Property of R. Struzak 28
EM wavePower density: W [watt/square meter]
Effective aperture: [square meter]
A = P/W
Power absorbed: P [watt]
• Note: The max effective aperture of linear λ/2 wavelength dipole antenna is λ2/8
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Horn antennas
Property of R. Struzak 29
Laboratory!
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Point Source
Property of R. Struzak 30
• For many purposes, it is sufficient to know the direction (angle) variation of the power radiated by antenna at large distances.
• For that purpose, any practical antenna, regardless of its size and complexity, can be represented as a point-source.
• The actual field near the antenna is then disregarded.
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Point Source 2
Property of R. Struzak 31
• The EM field at large distances from an antenna can be treated as originated at a point source - fictitious volume-less emitter.
• The EM field in a homogenous unlimited medium at large distances from an antenna can be approximated by an uniform plane TEM wave
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Anisotropic sources
Property of R. Struzak 32
• Every antenna has directional properties (radiates more energy in some directions than in others).
• Idealized example of directional antenna: the radiated energy is concentrated in the yellow region (cone).
• The power flux density gains: it is increased by (roughly) the inverse ratio of the yellow area and the total surface of the isotropic sphere.
Isotropic sphere
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Antenna gain
Property of R. Struzak 33
Actual antenna
P = Power delivered to the actual antenna
S = Power received
(the same in both steps)
Measuring equipment
Reference antenna
Po = Power delivered to the reference
antenna
S0 = Power received
(the same in both steps)
Measuring equipment
Antenna Gain = (P/Po) S=S0Step 1 Step 2
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Antenna Gains Gi, Gd, Gr
Property of R. Struzak 34
• Gi “Isotropic Power Gain” – theoretical concept, the reference antenna is isotropic
• Gd - the reference antenna is a half-wave dipole
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Antenna Gain: Comments
Property of R. Struzak 35
• Unless otherwise specified, the gain refers to the direction of maximum radiation.
• Gain is a dimension-less factor related to power and usually expressed in decibels
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Power vs. fieldstrength
Property of R. Struzak 36
• Gain in the field intensity may also be considered - it is equal to the square root of the power gain.
2
00
2 2
0 377 ohmsfor plane wave in free space
r rEP E P ZZ
E E E
Zθ ϕ
= → =
= +
=
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e.i.r.p.
Property of R. Struzak 37
• Equivalent Isotropically Radiated Power (in a given direction):
• The product of the power supplied to the antenna and the antenna gain (relative to an isotropic antenna) in a given direction
. . . . ie i r p PG=
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Antenna gain and effective area
Property of R. Struzak 38
• Measure of the effective absorption area presented by an antenna to an incident plane wave.
• Depends on the antenna gain and wavelength2
2( , ) [m ]4eA Gλη θ ϕπ
=
Aperture efficiency: ηa = Ae / AA: physical area of antenna’s aperture, square meters
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Power Transfer in Free Space
Property of R. Struzak 39
• λ: wavelength [m]• PR: power available at the
receiving antenna • PT: power delivered to the
transmitting antenna• GR: gain of the transmitting
antenna in the direction of the receiving antenna
• GT: gain of the receiving antenna in the direction of the transmitting antenna
• Matched polarizations
2
2
2
4
44
⎟⎠⎞
⎜⎝⎛=
⎟⎟⎠
⎞⎜⎜⎝
⎛⎟⎠⎞
⎜⎝⎛=
⋅=
rGGP
GrPG
APFDP
RTT
RTT
eR
πλ
πλ
π
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Gain, Directivity, Radiation Efficiency
Property of R. Struzak 40
0
),(),(
PPDG
T=
=
η
ϕϑηϕϑ• The radiation intensity,
directivity and gain are measures of the ability of an antenna to concentrate power in a particular direction.
• Directivity relates to the power radiated by antenna (P0 )
• Gain relates to the powerdelivered to antenna (PT)
• η: radiation efficiency (0.5 - 0.75)
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Directivity Pattern
Property of R. Struzak 41
– The variation of the field intensity of an antenna as an angular function with respect to the axis.
– Usually represented graphically for the far-field conditions.
– May be considered for a specified polarization and/or plane (horizontal, vertical).
– Depends on the polarization and the reference plane for which it is defined/measured
– Synonym: Radiation pattern.
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Antenna patterns
Property of R. Struzak 42
θ
P(θ)/Pmax(θ)
1
θ
P(θ)
Pmax(θ)
Power pattern Relative (normalized) power pattern
• Usually represented in 2 reference planes ϕ=const. and θ=const.• E & PDF relate to the equivalent uniform plane wave• Note: Peak value = √2 x Effective value for sinusoidal quantities
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Elements of Radiation Pattern
Property of R. Struzak 43
0-180 180
Emax
Emax /√2
Beamwidth
Sidelobes
Nulls
Main lobe • Gain• Beam width• Nulls (positions)• Side-lobe levels
(envelope) • Front-to-back ratio
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Beam width
Property of R. Struzak 44
• Beamwidth of an antenna pattern: the angle between the half-power points of the main lobe.
• Defined separately for the horizontal plane and for the vertical plane.
• Usually expressed in degrees.
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Typical Gain and Beamwidth
Property of R. Struzak 45
Type of antenna Gi [dB] BeamW.
Isotropic 0 3600x3600
Half-wave Dipole 2 3600x1200
Helix (10 turn) 14 350x350
Small dish 16 300x300
Large dish 45 10x10
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Antenna Mask (Example 1)
Property of R. Struzak 46
Typical relative directivity- mask of receiving antenna (Yagi ant., TV dcm waves)
[CCIR doc. 11/645, 17-Oct 1989)-20
-15
-10
-5
0
-180
-120 -6
0 0 60 120
180
Azimith angle, degrees
Rel
ativ
e ga
in, d
B
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Antenna Mask (Example 2)
Property of R. Struzak 47
-50
-40
-30
-20
-10
0
0.1 1 10 100
Phi/Phi0
Rela
tive
gain
(dB)
RR/1998 APS30 Fig.9
COPOLAR
CROSSPOLAR
Reference pattern for co-polar and cross-polar components for satellite transmitting antennas in Regions 1 and 3 (Broadcasting ~12 GHz)
0dB
-3dBPhi
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Property of R. Struzak 48
Linear Polarization
• In a linearly polarized plane wave the direction of the E (or H) vector is constant.
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Elliptical Polarization
Property of R. Struzak 49
LHC
Ex = cos (wt)Ey = cos (wt+3pi/4)
Ex = cos (wt)Ey = cos (wt+pi/4)
Ex = cos (wt)Ey = cos (wt)
Ex = cos (wt)Ey = -sin (wt)
RHCEx = cos (wt)Ey = sin (wt)
Ex = cos (wt)Ey = -cos (wt+pi/4)
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Property of R. Struzak 50
Polarization ellipse
• The superposition of two plane-wave components results in an elliptically polarized wave
• The polarization ellipse is defined by its axial ratio N/M (ellipticity), tilt angle ψ and sense of rotation
Ey
Ex
M
N
ψ
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Polarization states
Property of R. Struzak 51
LHC (Poincaré sphere)UPPER HEMISPHERE:ELLIPTIC POLARIZATIONLEFT_HANDED SENSE
EQUATOR:LINEAR POLARIZATION
450 LINEARLOWER HEMISPHERE:ELLIPTIC POLARIZATION RIGHT_HANDED SENSE
LATTITUDE:REPRESENTSAXIAL RATIO
LONGITUDE:REPRESENTSTILT ANGLE
POLES REPRESENTCIRCULAR POLARIZATIONS
RHC
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Comments on Polarization
Property of R. Struzak 52
• At any moment in a chosen reference point in space, there is actually a single electric vector E (and associated magnetic vector H).
• This is the result of superposition (addition) of the instantaneous fields E (and H) produced by all radiation sources active at the moment.
• The separation of fields by their wavelength, polarization, or direction is the result of ‘filtration’.
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Antenna Polarization
Property of R. Struzak 53
• The polarization of an antenna in a specific direction is defined to be the polarization of the wave produced by the antenna at a great distance at this direction
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Polarization Efficiency
Property of R. Struzak 54
• The power received by an antenna from a particular direction is maximal if the polarization of the incident wave and the polarization of the antenna in the wave arrival direction have:
– the same axial ratio– the same sense of polarization– the same spatial orientation
.
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Polarization filters/ reflectors
Property of R. Struzak 55
Wall of thin parallel wires (conductors)
|E1|>0 |E1|>0|E2| = 0 |E2| ~ |E2|
Vector E ⊥ wiresVector E || wires
Wire distance ~ 0.1λ
• At the surface of ideal conductor the tangential electrical field component = 0
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Phased Arrays
Property of R. Struzak 56
• Array of N antennas in a linear or spatial configuration
• The amplitude and phase excitation of each individual antenna controlled electronically (“software-defined”)– Diode phase shifters – Ferrite phase shifters
• Inertia-less beam-forming and scanning (µsec) with fixed physical structure
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Beam Steering
Property of R. Struzak 57
• Beam-steering using phase shifters at each radiating element
Radiatingelements
Powerdistribution
Phaseshifters
Equi-phasewave front
∆ = [(2π/λ)d sinθ]
3∆ 2∆ ∆ 0
θ
d
Beam direction
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4-Bit Phase-Shifter (Example)
Property of R. Struzak 58
Bit #1Bit #3Bit #4 Bit #2Input Output
00 or 22.50 00 or 450 00 or 900 00 or 1800
Steering/ Beam-forming Circuitry
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Switched-Line Phase Bit
Property of R. Struzak 59
Input Output
Delay line #1
Delay line #2Diode switch
Phase bit = delay difference
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Delay line w. nonlinear dielectric
Property of R. Struzak 60
LZC∆
=∆
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2 omnidirectional antennas
Property of R. Struzak 61
-1
-0.5
0
0.5
1
-1 -0.5 0 0.5 1
D = 0.5λ, θ= 900
-1
-0.5
0
0.5
1
-1 -0.5 0 0.5 1
-1
-0.5
0
0.5
1
-1 -0.5 0 0.5 1
D = 0.5λ, θ= 00 D = 0.5λ, θ= 1800
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N omnidirectional antennas
Property of R. Struzak 62
0
0.5
1
1.5
2
2.5
-180 -90 0 90 180
Azimuth angle, degrees
Rel
ativ
e ga
in
0
1
2
3
4
5
6
-180 -90 0 90 180
Azimuth angle, degrees
Rel
ativ
e ga
in
0
1
2
3
4
5
6
7
8
9
10
-180 -90 0 90 180
Azimuth angle, degrees
Rel
ativ
e ga
in
N = 9, θ = 450N = 2, θ = 900 N = 5, θ = 1800
• Array gain (line, uniform, identical power)
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Antenna synthesis objective
Property of R. Struzak 63
• Main lobe ‘looks’ in the required direction
• The signal delivered to N fixed points is above the required minimal level
• The signal delivered to N fixed points is zero, or below the required maximal level
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Owens Valley Radio Observatory
Property of R. Struzak 64
The Earth’s atmosphere is transparent in the narrow visible-light window (4000-7000 angstroms) and the radio band between 1 mm and 10 m.
[Sky & Telescope Feb 1997 p.26]
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The New Mexico Very Large Array
Property of R. Struzak 65
[Sky & TelescopeFeb 1997 p. 30]
27 antennas along 3 railroad tracks provide baselines up to 35 km. Radio images are formed by correlating the signals garnered by each antenna.
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Circular antenna arrays
Property of R. Struzak 66
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Antenna Arrays: Benefits
Property of R. Struzak 67
• Possibilities to control electronically – Direction of maximum radiation– Directions (positions) of nulls– Beam-width– Directivity– Levels of sidelobes
using standard antennas (or antenna collections) independently of their radiation patterns
• Antenna elements can be distributed along straight lines, arcs, squares, circles, etc.
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Adaptive (“Intelligent”)Antennas
Property of R. Struzak 68
• Array of N antennas in a linear or spatial configuration
• Used for selection receiving signals from desired sources and suppress incident signals from undesired sources
• The amplitude and phase excitation of each individual antenna controlled electronically (“software-defined”)
• The weight-determining algorithm uses a-priori and/ or measured information
• The weight and summing circuits can operate at the RF or at an intermediate frequency
w1
wN
Σ
Weight-determining algorithm
1
N
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Protocol independence
Property of R. Struzak 69
…
Transceiver
Channelizer
(TDMA, FDMA, CDMA)
antenna antenna
… Transceiver
… Channelizer
(TDMA, FDMA, CDMA)
Spatial and Temporal Processing
baseband signals/user data
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2 GHz adaptive antenna
Property of R. Struzak 70
• A set of 48 2GHz antennas – Source:
Arraycomm
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Simulated experiments
Property of R. Struzak 71
• 2 omnidirectional antennas (equal amplitudes)• N omnidirectional antennas (arranged along a
line, with equal amplitudes)• Variables (In both cases):
– distance increment– phase increment
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What we have learned
Property of R. Struzak 72
• Antenna: substantial element of radio link• We have just reviewed
– Basic concepts– Radio wave radiation physics – Elementary radiators – Selected issues relevant to antennas
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Selected References
Property of R. Struzak 73
• Griffiths H & Smith BL (ed.): Modern antennas; Chapman & Hall, 1998 • Johnson RC: Antenna Engineering Handbook McGraw-Hill Book Co.
1993• Kraus JD: Antennas, McGraw-Hill Book Co. 1998• Scoughton TE: Antenna Basics Tutorial; Microwave Journal Jan. 1998, p.
186-191• Stutzman WL, Thiele GA: Antenna Theory and Design JWiley &Sons,
1981• http://amanogawa.com• Software
– http://www.feko.co.za/apl_ant_pla.htm– Li et al., “Microcomputer Tools for Communication Engineering”– Pozar D. “Antenna Design Using Personal Computers”– www.gsl.net/wb6tpu /swindex.html (NEC Archives)
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Any questions?
Property of R. Struzak 74
Thank you for your attention
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Copyright note
Property of R. Struzak 75
• Copyright © 2004 Ryszard Struzak. All rights are reserved. • These materials and any part of them may not be published, copied to or
issued from another Web server without the author's written permission. • These materials may be used freely for individual study, research, and
education in not-for-profit applications. • If you cite these materials, please credit the author • If you have comments or suggestions, you may send these directly to the
author at [email protected].