antennas
DESCRIPTION
radiation patternTRANSCRIPT
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Common TV Antenna Types
Shown above is the radiation diagram for a 9-element Yagi antenna that the author once
used to receive channel 12. To interpret this diagram, imagine that the antenna is at the
origin. The length of a line from the origin to any point on the surface is proportional to
the gain in that direction.
HDTV Antennas
An antenna made for analog TV will work fine for DTV. There is nothing different about
an antenna for DTV or HDTV. Unscrupulous people have labeled their antennas “HDTV
Antennas” as a marketing ploy. The honest antenna makers have had to re-label their
products likewise to avoid losing sales.
Some terms
Gain – a measure of how much signal the antenna will collect.
Beam width – how directional an antenna is.
Bandwidth – how the gain varies with frequency. A narrowband antenna will receive
some channels well, but other channels poorly.
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The Dipole:
This is the simplest TV antenna. Variations on the dipole are the bowtie (which has wider
bandwidth), the folded-dipole (which can solve an efficiency problem) and the loop (a
variation on the folded dipole). All four have the same gain and the same radiation field: a
torroid (doughnut shape). The gain is generally 2.15 dBi. “dBi” means “dB of
improvement over an isotropic radiator”, which is an antenna that radiates equally in all
directions. This sounds like a discussion of transmitting antennas, and it could be. An
antenna will have the same gain when receiving as when transmitting, and also the same
radiation pattern.
The dipole has positive gain because it does not radiate equally in all directions. This is a
universal truth. To get more gain, an antenna must radiate in fewer directions. Imagine a
spherical balloon. Now press on it from opposite sides with a finger of each hand. Push in
until your fingers meet. The result looks like the torroid above. But more importantly, the
balloon expanded in the other directions. A-hah! Gain! That’s the way antennas work.
Keep this balloon analogy in mind. More complicated antennas work by reducing
radiation in most directions. They distort the balloon considerably, but the volume of the
balloon remains constant.
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Another rating system for antennas uses dBd, which means dB of improvement over a
dipole antenna. To convert dBd to dBi, just add 2.15. Antenna makers specify their gains
in dB. They actually mean dBd, but given the way they exaggerate their claims, dBi is
usually closer to the truth.
In the US, TV antennas are always horizontal. If you rotate an antenna about the forward
axis (a line from the transmitting antenna) the signal strength will vary as the cosine of the
angle. In other words, when the antenna elements are vertical, no signal is received
because TV signals have horizontal polarization.
Stacked Dipoles:
Two heads are better than one, and so it is with dipoles. N dipoles will take in N times as
much RF power as one dipole, provided they are not too close to each other. Thus a 4-
dipole antenna would have a gain of 8.15 dBi. (That is 2.15 dBi doubled once (plus 3 dB)
and doubled again (plus another 3 dB).) This assumes their positions and cable lengths are
adjusted so that their signals add in-phase. This explanation of gain may seem at odds with
the balloon explanation, but ultimately they are equivalent. (Adding dipoles does not
increase the volume of the balloon because phase cancellation occurs in some directions.)
Dipoles are commonly stacked horizontally (collinearly), vertically (broadside), and in
echelon (end-fire).
When dipoles are stacked horizontally, the horizontal beam width becomes very narrow.
This is because they do not add in-phase for directions not straight ahead. Similarly, when
stacked vertically, the vertical beam width becomes narrower.
Lets say you are 20 miles from a city and TV transmitters are scattered all over the city. A
medium gain antenna might be too weak, but a high gain antenna would be so directional
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you would need a rotor. Solution: A bunch of dipoles stacked vertically would give you
the gain you need. The vertical narrowness of the resulting beam is of little importance,
but the horizontal broadness of the beam means no rotor needed.
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Reflector Antennas:
Radio waves will reflect off of a large conducting plane as if it was a mirror. A coarse
screen works just as as well. Reflector antennas are very common.
The double bow-tie above has an average gain of 6 dBi. With a bigger screen it would
have more. The parabolic reflector focuses the signal onto a single dipole, but its
bandwidth is a little disappointing. The corner reflector has a little less gain but much
greater bandwidth. The corner reflector has roughly the gain of three dipoles. It is a good
medium gain antenna, widely use for UHF. If you need more than 25 dBi then the
paraboloid dish is the only practical choice, but they are huge.
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Log-Periodic Dipole Arrays (LPDA)
The LPDA has several dipoles arranged in echelon and criss-cross fed from the front. The
name comes from the geometric growth, which is logarithmic.
This is a very wideband antenna with a gain of up to about 7 dBi. For any frequency, only
about three of the elements are carrying much current. The other elements are inactive. As
frequency increases, the active elements “move” toward the front of the array. Most VHF
TV antennas are LPDAs. TV LPDAs come in two types: straight and Vee. The Vee type
(LPVA) has a very slightly higher gain for channels 7-13. But this author often favors the
straight type since it has nulls 90 to each side that can be used to cancel out interference.
Yagi Antennas:
A Yagi antenna has several elements arranged in echelon. They are connected together by
a long element, called the boom. The boom carries no current. If the boom is an insulator,
the antenna works the same.
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The rear-most element is called the reflector. The next element is called the driven
element. All the remaining elements are called directors. The directors are about 5%
shorter than the driven element. The reflector is about 5% longer than the driven element.
The driven element is usually a folded dipole or a loop. It is the only element connected to
the cable. Yet the other elements carry almost as much current.
The Yagi is the most magical of all antennas. The more directors you add, the higher the
gain becomes. Gains above 20 dBi are possible. But the Yagi is a narrowband antenna,
often intended for a single frequency. As frequency increases above the design frequency,
the gain declines abruptly. Below the design frequency, the gain falls off more gradually.
When a Yagi is to cover a band of frequencies, it must be designed for the highest
frequency of the band.
An antenna has an aperture area, from which it captures all incoming radiation. The
aperture of a Yagi is round and its area is proportional to the gain. As the leading elements
absorb power, diffraction bends the adjacent rays in toward the antenna.
The formula for the aperture area of any TV antenna is A=G2/4 where is the
wavelength and G is the gain factor over an isotropic antenna (not dB).
The current in the metal rod can be thought of as a standing wave: a signal bouncing back
and forth in the rod until it dies out, meanwhile getting reinforced by incoming energy. If
the rod is too long, the bouncing signal quickly falls behind the incoming signal. When it
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gets more than 90 degrees behind, it subtracts from the incoming signal. A rod too short is
a similar case.
The bandwidth of a Yagi can be increased by sizing the reflector for the lowest frequency
of the band while sizing the directors for the highest. But this decreases the best gain of
the antenna. (It is said that the gain-bandwidth product remains the same.) A better way to
increase the bandwidth is to replace the reflector element with a corner-reflector assembly.
This boosts the performance on the lower numbered channels without hurting the high
channels. Although the Yagi/Corner-Reflector might not be the best antenna, it is the most
common UHF TV antenna, mainly because it can be mounted on the front of a VHF
antenna without degrading the VHF antenna.
Comparing a Yagi/Corner-Reflector to an 8-Dipole-Reflector
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The graph above shows the gain functions for four TV antennas:
Plot A is the Channel Master 4228 8-Bay, a stacked dipole reflector antenna.
Plot B is the Channel Master 4248, a Yagi/Corner-Reflector.
Plot C is the 4248 with all of its directors removed, making it a pure corner reflector
antenna.
Plot D is the 4248 with its corner reflector removed and replaced by a single reflector
element, making it a standard Yagi. The D2 plot shows the backward gain where this
exceeds the forward gain.
The point of this graph is that a Yagi/Corner-Reflector performs like a Yagi for the high
numbered channels and a corner reflector for the low numbered channels. For the middle
channels it outperforms the sum of the two types.
A UHF Yagi today is designed for channel 69. If you see an old Yagi, it might be intended
for channel 82. In the future they will be cut for channel 51. It is not possible to tell by
looking at a Yagi which era it belongs to, so be careful.
Radiation Pattern:
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As you can see, the 8-Bay is a very directional antenna. If miss-aimed by 5 you can lose
1 dB of signal. If the skyline is more than 5 above horizontal, you should tilt the antenna
up to point at the skyline. The overhead view shows nulls at 30 and 90 to both sides.
These can be used to eliminate multi-path (ghosts) or interference. You simply rotate the
antenna until the offending signal is in one of the nulls.
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A Yagi also has some forward nulls that can be used as ghost killers. But a Yagi/Corner-
Reflector acts more like a corner reflector for most channels, and has no nulls. At channel
60 you can finally see the Yagi pattern start to emerge.
we prefers the 8-Bay over the Yagi/Corner-Reflector because
It has high gain.
Its gain is evenly distributed over the channels.
It has nulls that can eliminate multi-path.
It has a rectangular aperture that permits efficient stacking when more than 8 bays
are necessary.
But the high gain means it is hard to aim. In good-signal areas, avoid high gain
antennas.
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RADIATION INTENSITY:
The radiation intensity is total power radiated per unit solid angle and is denoted by U and
it is expressed as U= P/4π.
First figure shows radiation intensity of a source and second figure is relative radiation
intensity of that source.
POWER PATTERN
The directional property of the antenna is often described in the form of a power pattern.
The power pattern is simply the effective area normalized to be
unity at the maximum.
Fig: Power pattern for isotropic source
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Power pattern and relative power patterns of a source
Figure (a) shows power pattern of a source. Figure(b) shows relative power pattern of a
same source. Both Patterns have the same shape. The relative power pattern is normalized
to a maximum of unity
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The radiated energy streams from the source in radial lines.
Time rate of Energy flow/unit area is called as Poynting vector (Power
Density)
It is expressed as ……….watts / square meters.
For a Point source Pointing vector has only radial component Sr
S component in Θ and φ directions are zero. Magnitude of S = Sr
Source radiating uniformly in all directions – Isotropic Source. It is independent of Θ and
φ.
Graph of Sr at a constant radius as a function of angle is POWER PATTERN
Field pattern
A pattern showing variation of the electric field intensity at a constant radius r as a function
of angle(θ , φ) is called “field pattern”
Fig: Relation of pointing vector s and 2 electric field components of a far field
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The power pattern and the field patterns are inter-related: P(θ, φ) = (1/η)*|E(θ, φ )|2 = η*|
H(θ, φ)|2
P = power
E = electrical field component vector H = magnetic field component vector η = 377 ohm
(free-space impedance)
The power pattern is the measured (calculated) and plotted received power: |P(θ, φ)| at a
constant (large) distance from the antenna
The amplitude field pattern is the measured (calculated) and plotted electric (magnetic)
field intensity, |E(θ, φ)| or |H(θ, φ)| at a constant (large) distance from the antenna s
Antenna Arrays:
Antennas with a given radiation pattern may be arranged in a pattern line, circle, plane,
etc.) To yield a different radiation pattern.
Antenna array - a configuration of multiple antennas (elements) arranged to achieve a
given radiation pattern.
Simple antennas can be combined to achieve desired directional effects. Individual
antennas are called elements and the combination is an array
Types of Arrays
Linear array - antenna elements arranged along a straight line.
Circular array - antenna elements arranged around a circular ring.
Planar array - antenna elements arranged over some planar surface (example
- rectangular array).
Conformal array - antenna elements arranged to conform two some non-planar
surface (such as an aircraft skin).
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Design Principles of Arrays
There are several array design variables which can be changed to achieve the overall array
pattern design. Array Design Variables
General array shape (linear, circular, planar)
Element spacing.
Element excitation amplitude.
Element excitation phase.
Patterns of array elements.
Types of Arrays
Broadside: maximum radiation at right angles to main axis of antenna
End-fire: maximum radiation along the main axis of antenna
Phased: all elements connected to source
Parasitic: some elements not connected to source
They re-radiate power from other elements
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Yagi-Uda Array
Often called Yagi array
Parasitic, end-fire, unidirectional
One driven element: dipole or folded dipole
One reflector behind driven element and slightly longer
One or more directors in front of driven element and slightly shorter
Log-Periodic Dipole Array
Multiple driven elements (dipoles) of varying lengths
Phased array
Unidirectional end-fire
Noted for wide bandwidth
Often used for TV antennas
Monopole Array
Vertical monopoles can be combined to achieve a variety of horizontal patterns
Patterns can be changed by adjusting amplitude and phase of signal applied to each
element
Not necessary to move elements
Useful for AM broadcasting
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Collinear Array
All elements along same axis
Used to provide an omnidirectional horizontal pattern from a vertical antenna
Concentrates radiation in horizontal plane
Broadside Array
Bidirectional Array
Uses Dipoles fed in phase and separated by 1/2 wavelength
End-Fire Array
Similar to broadside array except dipoles are fed 180 degrees out of phase
Radiation max off the ends