Radar is a system that uses electromagnetic waves to identify the
range, altitude, direction, or speed of both moving and fixed objects such as aircraft, ships,
motor vehicles, weather formations, and terrain. A transmitter emits radio waves, which are
reflected by the target and detected by a receiver, typically in the same location as the transmitter. Although the radio signal
returned is usually very weak, radio signals can easily be amplified. This enables a radar to detect objects at ranges where
other emissions, such as sound or visible light, would
be too weak to detect. Radar is used in many contexts, including meteorological detection of
precipitation, air traffic
control, police detection of speeding
traffic, and by the military. It was originally called RDF (Radio Direction Finder) in Britain.
The term RADAR was coined in 1941 as an acronym for Radio
Detection and Ranging. The term has since entered the English language as a standard word, radar,
losing the capitalization in the process.
History
-
Several inventors, scientists, and engineers contributed
to the development of radar. The first to use radio waves to detect "the presence of
distant metallic objects via radio waves" was Christian Hülsmeyer,[2][3] who in 1904 demonstrated the feasibility of detecting the presence of a ship in dense fog, but not
its distance. He received Reichspatent Nr. 165546 for his pre-radar device in April, and patent 169154 on November 11 for a related amendment. He also received a patent (GB13170) in England for his
telemobiloscope on September 22 1904.[2][4]
Nikola Tesla, in August 1917, first established principles regarding frequency and power
level for the first primitive radar units[citation needed]. Before the Second World War,
developments by the Americans (Dr. Robert M. Page tested the first monopulse radar in
1934),[5] the Germans, the French (French Patent n° 788795
in 1934),[6] and mainly the British who
were the first to fully exploit it as a defence against aircraft attack (British Patent GB593017 by Robert Watson-Watt in 1935),[6][7] led to the first real
radars. Hungarian Zoltán Bay produced a working model by 1936 at the Tungsram laboratory in the same vein.
In 1934, Émile Girardeau, working with the first French radar systems, stated he was building radar systems "conceived
according to the principles stated by Tesla". [1]
The war precipitated research to find better resolution, more portability and more features for the new defence technology.
Post-war years have seen the use of radar in fields as diverse as air traffic
control, weather monitoring, astrometry and road speed control.
Principles
Reflection
Brightness can indicate reflectivity as in this 1960 weather radar image. The radar's frequency, pulse form, and antenna largely
determine what it can observe.
Electromagnetic waves reflect (scatter) from any large change in the
dielectric or diamagnetic constants. This means that a
solid object in air or a vacuum, or other significant
change in atomic density between the object and what's surrounding it, will usually scatter radar
(radio) waves. This is particularly true for electrically conductive materials,
such as metal and carbon fibre, making radar particularly well suited to the detection of
aircraft and ships. Radar absorbing material, containing resistive and sometimes magnetic substances, is used on
military vehicles to reduce radar reflection. This is the radio equivalent of painting something a dark color.
Radar waves scatter in a variety of ways depending on the size (wavelength) of the radio wave and the shape of the target. If
the wavelength is much shorter than the target's size, the wave will bounce off in a way similar to the way light is reflected by
a mirror. If the wavelength is much longer than the size of the target, the target is
polarized (positive and negative charges are separated), like a dipole antenna. This is described by Rayleigh scattering, an
effect that creates the Earth's blue sky and red sunsets. When the two length scales are
comparable, there may be resonances. Early radars used very long
wavelengths that were larger than the targets and received a vague signal, whereas some
modern systems use shorter wavelengths (a few centimetres
or shorter) that can image objects as small as a loaf of bread.
Short radio waves reflect from curves and corners, in a way similar to glint from a rounded piece of glass. The most
reflective targets for short wavelengths have 90° angles between the reflective
surfaces. A structure consisting of three flat surfaces meeting at a single corner, like the corner on a box, will always
reflect waves entering its opening directly back at the source. These so-called corner
reflectors are commonly used as radar reflectors to make otherwise difficult-to-detect objects easier to detect, and are
often found on boats in order to improve their detection in a rescue situation and to reduce collisions. For similar reasons,
objects attempting to avoid detection will angle their surfaces in a way to eliminate inside corners and avoid surfaces and edges
perpendicular to likely detection directions, which leads to "odd" looking stealth
aircraft. These precautions do not completely eliminate reflection because of diffraction, especially at longer wavelengths. Half wavelength long wires or strips of conducting material,
such as chaff, are very reflective but do not direct the scattered energy
back toward the source. The extent to which an object reflects or scatters radio waves is called its radar cross section.
Radar equation
The amount of power Pr returning to the receiving antenna is given by the radar equation:

where
- Pt = transmitter power
- Gt = gain of the transmitting antenna
- Ar = effective aperture (area) of the receiving antenna
- σ = radar cross section, or scattering coefficient, of the target
- F = pattern propagation factor
- Rt = distance from the transmitter to the target
- Rr = distance from the target to the receiver.
In the common case where the transmitter and the receiver are at the same location, Rt =
Rr and the term Rt² Rr² can be replaced by R4, where
R is the range. This yields:

This shows that the received power declines as the fourth power of the range, which means that the reflected power from
distant targets is very, very small.
The equation above with F = 1 is a simplification for vacuum without interference. The
propagation factor accounts for the effects of multipath and shadowing and depends on the
details of the environment. In a real-world situation, pathloss effects should also be
considered.
Other mathematical developments in radar signal processing include time-frequency analysis (Weyl Heisenberg or
wavelet), as well as the chirplet transform which
makes use of the fact that radar returns from moving targets typically "chirp" (change their frequency as a function of time, as
does the sound of a bird or bat).
Polarization
In the transmitted radar signal, the electric field is perpendicular to the direction of propagation, and this direction of
the electric field is the polarization of the wave. Radars use horizontal, vertical, linear
and circular polarization to detect different types of reflections. For example, circular
polarization is used to minimize the interference caused by rain. Linear
polarization returns usually indicate metal surfaces. Random polarization returns
usually indicate a fractal surface, such as rocks or soil, and are used by navigation radars.
Interference
Radar systems must overcome several different sources of unwanted signals in order to focus only on the actual targets of
interest. These unwanted signals may originate from internal and external sources, both passive and active. The ability of the
radar system to overcome these unwanted signals defines its signal-to-noise ratio
(SNR): the higher a system's SNR, the better it is in isolating actual targets from the surrounding noise signals.
Noise
Signal noise is an internal source of random variations in the signal, which is
inherently generated to some degree by all electronic components. Noise typically appears as random variations superimposed on
the desired echo signal received in the radar receiver. The lower the power of the desired signal, the more difficult it is to
discern it from the noise (similar to trying to hear a whisper while standing near a busy road). Therefore, the most important
noise sources appear in the receiver and much effort is made to minimize these factors. Noise
figure is a measure of the noise produced by a receiver compared to an ideal receiver, and this needs to be minimized.
Noise is also generated by external sources, most importantly the natural thermal radiation of the background scene
surrounding the target of interest. In modern radar systems, due to the high performance of their receivers, the internal noise
is typically about equal to or lower than the external scene noise. An exception is if the radar is aimed upwards at clear sky,
where the scene is so cold that it generates very little thermal noise.
There will be also Flicker noise due to electrons transit, but depending on 1/f, will
be much lower than thermal noise when the frequency is high. Hence, in pulse radar, the system will be always heterodyne. See intermediate frequency.
Clutter
Clutter refers to actual radio frequency (RF) echoes returned from targets which are by definition uninteresting to the radar
operators in general. Such targets mostly include natural objects such as ground, sea, precipitation (such as rain, snow or hail), sand storms,
animals (especially birds), atmospheric turbulence, and other atmospheric effects, such as
ionosphere reflections and meteor trails. Clutter may also be
returned from man-made objects such as buildings and, intentionally, by radar countermeasures such as chaff.
Some clutter may also be caused by a long radar waveguide between the radar transceiver and
the antenna. In a typical plan position indicator (PPI) radar with a rotating
antenna, this will usually be seen as a "sun" or "sunburst" in the centre of the display as the receiver responds to echoes from
dust particles and misguided RF in the waveguide. Adjusting the timing between when the transmitter sends a pulse and when the
receiver stage is enabled will generally reduce the sunburst without affecting the accuracy of the range, since most sunburst is
caused by a diffused transmit pulse reflected before it leaves the antenna.
While some clutter sources may be undesirable for some radar applications (such as storm clouds for air-defence radars), they
may be desirable for others (meteorological radars in this example). Clutter is considered a
passive interference source, since it only appears in response to radar signals sent by the radar.
There are several methods of detecting and neutralizing clutter. Many of these methods rely on the fact that clutter tends to
appear static between radar scans. Therefore, when comparing subsequent scans echoes, desirable targets will appear to move and
all stationary echoes can be eliminated. Sea clutter can be reduced by using horizontal polarization, while rain is reduced with
circular polarization (note that meteorological radars wish for the opposite
effect, therefore using linear polarization the better to detect precipitation).
Other methods attempt to increase the signal-to-clutter ratio.
CFAR (Constant False-Alarm Rate, a form of Automatic Gain Control, or AGC) is a method relying on the fact that clutter returns far
outnumber echoes from targets of interest. The receiver's gain is automatically adjusted to maintain a constant level of overall
visible clutter. While this does not help detect targets masked by stronger surrounding clutter, it does help to distinguish
strong target sources. In the past, radar AGC was electronically controlled and affected the gain of the entire radar receiver.
As radars evolved, AGC became computer-software controlled, and affected the gain with greater granularity, in specific detection
cells.
Clutter may also originate from multipath echoes from valid targets due to ground
reflection, atmospheric ducting or ionospheric reflection/refraction. This specific clutter type
is especially bothersome, since it appears to move and behave like other normal (point) targets of interest, thereby creating a
ghost. In a typical scenario, an aircraft echo is multipath-reflected from the ground below, appearing to the receiver as an
identical target below the correct one. The radar may try to unify the targets, reporting the target at an incorrect height, or -
worse - eliminating it on the basis of jitter or a physical impossibility. These problems can be
overcome by incorporating a ground map of the radar's surroundings and eliminating all echoes which appear to originate below
ground or above a certain height. In newer ATC radar equipment algorithms are used to identify the false targets by comparing the
current pulse returns, to those adjacent, as well as calculating return improbabilities due to calculated height, distance, and
radar timing.
Jamming
Radar jamming refers to RF signals originating from sources outside the
radar, transmitting in the radar's frequency and thereby masking targets of interest. Jamming may be intentional, as with an
anti-radar electronic warfare (EW) tactic, or unintentional, as with friendly forces
operating equipment that transmits using the same frequency range. Jamming is considered an active interference source, since it
is initiated by elements outside the radar and in general unrelated to the radar signals.
Jamming is problematic to radar since the jamming signal only needs to travel one-way (from the jammer to the radar receiver)
whereas the radar echoes travel two-ways (radar-target-radar) and are therefore significantly reduced in power by the time they
return to the radar receiver. Jammers therefore can be much less powerful than their jammed radars and still effectively mask
targets along the line of sight from the jammer to the radar (Mainlobe
Jamming). Jammers have an added effect of affecting radars along other line-of-sights, due to the radar receiver's
sidelobes (Sidelobe Jamming).
Mainlobe jamming can generally only be reduced by narrowing the mainlobe solid angle, and
can never fully be eliminated when directly facing a jammer which uses the same frequency and polarization as the radar. Sidelobe
jamming can be overcome by reducing receiving sidelobes in the radar antenna design and by using an omnidirectional antenna to detect and disregard non-mainlobe signals. Other anti-jamming
techniques are frequency hopping and polarization. See Electronic
counter-counter-measures for details.
Interference has recently become a problem for C-band (5.66 GHz) meteorological radars with the proliferation of 5.4 GHz band WiFi
equipment.[8]
Radar signal processing
Distance measurement
Transit time
One way to measure the distance to an object is to transmit a short pulse of radio signal (electromagnetic radiation), and
measure the time it takes for the reflection to return. The distance is one-half the product of round trip time (because the
signal has to travel to the target and then back to the receiver) and the speed of the signal. Since radio waves travel at the
speed of light (186,000 miles per second or 300,000,000 meters per second), accurate distance measurement requires
high-performance electronics.
In most cases, the receiver does not detect the return while the signal is being transmitted. Through the use of a device
called a duplexer, the radar switches between transmitting and receiving at a predetermined rate. The minimum range is
calculated by measuring the length of the pulse multiplied by the speed of light, divided by two. In order to detect closer
targets one must use a shorter pulse length.
A similar effect imposes a maximum range as well. If the return from the target comes in when the next pulse is being sent
out, once again the receiver cannot tell the difference. In order to maximize range, one wants to use longer times between
pulses, or commonly referred to as a pulse repetition time (PRT).
These two effects tend to be at odds with each other, and it is not easy to combine both good short range and good long range
in a single radar. This is because the short pulses needed for a good minimum range broadcast have less total energy, making the
returns much smaller and the target harder to detect. This could be offset by using more pulses, but this would shorten the
maximum range again. So each radar uses a particular type of signal. Long-range radars tend to use long pulses with long delays
between them, and short range radars use smaller pulses with less time between them. This pattern of pulses and pauses is known
as the pulse repetition frequency (or PRF), and is one of the main ways to
characterize a radar. As electronics have improved many radars now can change their PRF thereby changing their range. The newest
radars actually fire 2 pulses during one cell. One for short range (~6 miles) and a separate signal for longer ranges (~60
miles).
The distance resolution and the characteristics of the received signal as compared
to noise depends heavily on the shape of the pulse. The pulse is often modulated to achieve
better performance thanks to a technique known as pulse compression.
Frequency modulation
Another form of distance measuring radar is based on frequency modulation.
Frequency comparison between two signals is considerably more accurate, even with older electronics, than timing the signal. By
changing the frequency of the returned signal and comparing that with the original, the difference can be easily measured.
This technique can be used in continuous wave radar, and is often found in
aircraft radar altimeters. In these systems a "carrier" radar signal is frequency
modulated in a predictable way, typically varying up and down with a sine wave or sawtooth
pattern at audio frequencies. The signal is then sent out from one antenna and received on another, typically located on the
bottom of the aircraft, and the signal can be continuously compared.
Since the signal frequency is changing, by the time the signal returns to the aircraft the broadcast has shifted to some other
frequency. The amount of that shift is greater over longer times, so greater frequency differences mean a longer distance, the
exact amount being the "ramp speed" selected by the electronics. The amount of shift is therefore directly related to the
distance traveled, and can be displayed on an instrument. This signal processing is similar to that used in speed detecting
Doppler radar. Example systems using this approach are AZUSA, MISTRAM, and UDOP.
Speed measurement
Speed is the change in distance to an object with respect to
time. Thus the existing system for measuring distance, combined with a memory capacity to see
where the target last was, is enough to measure speed. At one time the memory consisted of a user making grease-pencil marks on the radar screen, and then calculating the speed using a slide rule. Modern radar systems perform the equivalent operation faster and more accurately using
computers.
However, if the transmitter's output is coherent (phase synchronized), there is another effect that can be used to make almost
instant speed measurements (no memory is required), known as the Doppler effect. Most
modern radar systems use this principle in the pulse-doppler radar system. Return
signals from targets are shifted away from this base frequency via the Doppler effect enabling the calculation of the speed of
the object relative to the radar. The Doppler effect is only able to determine the relative speed of the target along the line of
sight from the radar to the target. Any component of target velocity perpendicular to this line of sight cannot be determined by
Doppler alone tracking the target's azimuth over time must be used. Additional information of
the nature of the Doppler returns may be found in the radar signal
characteristics article.
It is also possible to make a radar without any pulsing, known as a continuous-wave
radar (CW radar), by sending out a very pure signal of a known frequency. CW radar is ideal for determining the radial
component of a target's velocity, but it cannot determine the target's range. CW radar is typically used by traffic enforcement
to measure vehicle speed quickly and accurately where range is not important.
Reduction of interference effects
Signal processing is employed in radar systems to reduce the interference effects. Signal processing techniques include moving target indication (MTI),
pulse doppler, moving target detection (MTD) processors, correlation with
secondary surveillance radar (SSR) targets and space-time adaptive processing (STAP). Constant false alarm rate (CFAR) and digital terrain
model (DTM) processing are also used in clutter environments.
Radar engineering
A radar has different components:
- A transmitter that generates the radio signal with an oscillator such as a klystron or a
magnetron and controls its duration by a modulator.
- A waveguide that links the transmitter and the antenna.
- A duplexer that serves as a switch between the antenna and the transmitter or the receiver
for the signal when the antenna is used in both situations.
- A receiver. Knowing the shape of the desired received signal (a pulse), an optimal
receiver can be designed using a matched filter.
- An electronic section that controls all those devices and the antenna to perform the radar scan ordered by a software.
- A link to end users.
Antenna design
Radio signals broadcast from a single antenna will spread out in all directions, and likewise a single antenna will receive
signals equally from all directions. This leaves the radar with the problem of deciding where the target object is located.
Early systems tended to use omni-directional broadcast antennas, with
directional receiver antennas which were pointed in various directions. For instance the first system to be deployed,
Chain Home, used two straight antennas at right angles
for reception, each on a different display. The maximum return would be detected with an antenna at right angles to the target,
and a minimum with the antenna pointed directly at it (end on). The operator could determine the direction to a target by
rotating the antenna so one display showed a maximum while the other shows a minimum.
One serious limitation with this type of solution is that the broadcast is sent out in all directions, so the amount of energy
in the direction being examined is a small part of that transmitted. To get a
reasonable amount of power on the "target", the transmitting aerial should also be directional.
Parabolic reflector
More modern systems use a steerable parabolic "dish" to create a tight broadcast beam,
typically using the same dish as the receiver. Such systems often combine two radar frequencies in the same antenna in order to
allow automatic steering, or radar lock.
Types of scan
- Primary Scan: A scanning technique where the main antenna aerial is moved to produce a scanning beam, examples include
circular scan, sector scan etc
- Secondary Scan: A scanning technique where the antenna feed is moved to produce a scanning beam, example include conical
scan, unidirectional sector scan, loge switching etc.
- Palmer Scan: A scanning technique that produces a scanning beam by moving the main antenna and its feed. A Palmer Scan is a
combination of a Primary Scan and a Secondary Scan.
Phased array: Not all radar antennas must rotate to scan the sky.
Slotted waveguide
-
Applied similarly to the parabolic reflector the slotted waveguide is moved mechanically to scan and is particularly suitable
for non-tracking surface scan systems, where the vertical pattern may remain constant. Owing to lower cost and less wind
exposure, shipboard, airport surface, and harbour surveillance radars now use this in preference to the parabolic antenna.
Phased array
-
Another method of steering is used in a phased array radar. This uses an array of similar
aerials suitably spaced, the phase of the signal to each individual aerial being controlled so that the signal is reinforced in
the desired direction and cancels in other directions. If the individual aerials are in one plane and the signal is fed to each
aerial in phase with all others then the signal will reinforce in a direction perpendicular to that plane. By altering the
relative phase of the signal fed to each aerial the direction of the beam can be moved because the direction of constructive
interference will move. Because phased array radars require no physical movement the
beam can scan at thousands of degrees per second, fast enough to irradiate and track many individual targets, and still run a
wide-ranging search periodically. By simply turning some of the antennas on or off, the beam can be spread for searching,
narrowed for tracking, or even split into two or more virtual radars. However, the beam cannot be effectively steered at small
angles to the plane of the array, so for full coverage multiple arrays are required, typically disposed on the faces of a
triangular pyramid (see picture).
Phased array radars have been in use since the earliest years of radar use in World War
II, but limitations of the electronics led to fairly poor accuracy. Phased array radars were originally used for
missile defense. They are the heart of the
ship-borne Aegis combat system, and the Patriot
Missile System, and are increasingly used in other areas because the lack of moving parts makes them more reliable, and
sometimes permits a much larger effective antenna, useful in fighter aircraft applications that offer only confined space for
mechanical scanning.
As the price of electronics has fallen, phased array radars have become more and more common. Almost all modern military radar
systems are based on phased arrays, where the small additional cost is far offset by the improved reliability of a system with no
moving parts. Traditional moving-antenna designs are still widely used in roles where cost is a significant factor such as air
traffic surveillance, weather radars and similar systems.
Phased array radars are also valued for use in aircraft, since they can track multiple targets. The first aircraft to use a
phased array radar is the B-1B Lancer. The first aircraft fighter to use phased array radar was the Mikoyan MiG-31. The MiG-31M's SBI-16 Zaslon phased array radar is
considered to be the world's most powerful fighter radar [2]. [This doesn't seem to be supported by the footnote]
Phased-array interferometry "aperture
synthesis" techniques, using an array of separate dishes that are phased into a single effective aperture, are not
typically used for radar applications, although they are widely used in radio astronomy.
Because of the Thinned array curse, such arrays of multiple apertures, when used in
transmitters, result in narrow beams at the expense of reducing the total power transmitted to the target. In principle, such
techniques used could increase the spatial resolution, but the lower power means that this is generally not effective. Aperture
synthesis by post-processing of motion data from a single moving source, on the other hand, is widely used in space and airborne
radar systems (see "Synthetic aperture radar").
Frequency bands
The traditional band names originated as code-names during World War II and are still in
military and aviation use throughout the world in the 21st century. They have been adopted in the United States by the
IEEE, and internationally by the ITU. Most countries have additional regulations to control which parts of each
band are available for civilian or military use.
Other users of the radio spectrum, such as the broadcasting and electronic
countermeasures (ECM) industries, have replaced the traditional military
designations with their own systems.
Radar frequency bands
| Band Name |
Frequency Range |
Wavelength Range |
Notes |
| HF |
3–30 MHz |
10–100 m |
coastal radar systems, over-the-horizon radar (OTH) radars; 'high
frequency' |
| P |
< 300 MHz |
1 m+ |
'P' for 'previous', applied retrospectively to early radar systems |
| VHF |
50–330 MHz |
0.9-6 m |
very long range, ground penetrating; 'very high frequency' |
| UHF |
300–1000 MHz |
0.3-1 m |
very long range (e.g. ballistic missile early warning),
ground penetrating, foliage penetrating; 'ultra high frequency' |
| L |
1–2 GHz |
15–30 cm |
long range air traffic control and surveillance; 'L' for 'long' |
| S |
2–4 GHz |
7.5–15 cm |
terminal air traffic control, long-range weather, marine radar; 'S' for 'short' |
| C |
4–8 GHz |
3.75-7.5 cm |
Satellite transponders; a compromise (hence 'C') between X and S bands; weather |
| X |
8–12 GHz |
2.5-3.75 cm |
missile guidance, marine radar, weather, medium-resolution
mapping and ground surveillance; in the USA the narrow range 10.525 GHz ±25 MHz
is used for airport radar. Named X band because the frequency was a secret during WW2. |
| Ku |
12–18 GHz |
1.67-2.5 cm |
high-resolution mapping, satellite altimetry; frequency just under K band (hence 'u') |
| K |
18–27 GHz |
1.11-1.67 cm |
from German kurz, meaning 'short'; limited use due to absorption by
water vapour, so Ku and Ka were used instead for surveillance. K-band
is used for detecting clouds by meteorologists, and by police for detecting speeding motorists. K-band radar guns operate at
24.150 ± 0.100 GHz. |
| Ka |
27–40 GHz |
0.75-1.11 cm |
mapping, short range, airport surveillance; frequency just above K band (hence 'a') Photo radar, used to trigger cameras
which take pictures of license plates of cars running red lights, operates at 34.300 ± 0.100 GHz. |
| mm |
40–300 GHz |
7.5 mm - 1 mm |