January 1965 Electronics World
Table
of Contents
Wax nostalgic about and learn from the history of early electronics. See articles
from
Electronics World, published May 1959
 December 1971. All copyrights hereby acknowledged.

Pulse compression (aka
'chirp') radar was invented in the 1950s by Sperry and a couple other defense contractors.
It was new enough by the time the radar I worked on as a technician in the USAF
that it was not incorporated. Our MPN13 and
MPN14 radar systems
used simple singlefrequency pulses. Pulse compression employs a swept frequency
within a fairly narrow bandwidth to exploit the benefits outlined in this 1965
Electronics World article. If you were to listen to the signal used to
sweep the RF pulse in frequency, it would sound a lot like a bird's chirp, hence
the name. Treatment by author Donald Lancaster is fairly heavy in that it fearlessly
presents the mathematical concepts of sin(x)/x waveforms, Fourier transforms, and
weighting. He references Skolnik, Ridenour, et al. Even so, it is a quick read that
provides a good introduction to chirp radar.
"Chirp" A New Radar Technique
By Donald Lancaster
Using a sweptfrequency approach, this new radar has greatly improved range
and target resolution over conventional pulse methods and is also less susceptible
to presentday jamming techniques.
The dark veil of military secrecy has been lifted on a most amazing and powerful
radar technique called pulse compression  nicknamed "chirp." By applying mathematical
techniques to a conventional pulsed radar, range and resolution can simultaneously
be increased while at the same time using less peak input power. The radar also
becomes significantly harder to jam, and much more immune to certain forms of noise.
Further, the requirements for very high powersupply voltages can be reduced.
Chirp is perhaps the most significant radar advance of recent years. Its improvement
upon radar performance can be as high as several hundred times the capability of
conventional techniques. There is no apparent limit to the ultimate attainable improvement.
Fig. 1  A fourfrequency radar will have four times the
resolution of a conventional radar of equal range if the target returns are processed
as shown. This is the basis of "chirp."
The majority of presently used radars are of the pulse type, i.e., systems that
transmit a very large burst of radio frequency energy for a very brief interval
and then wait for echo returns from any targets within range. From these echoes,
the position, size, type, and movement of a target may be determined. Pulse radar
uses extend from weather observation, airport flight control, travel aids for the
blind, and vehicle collision devices, to the military longrange mapping radars,
battlefield radars, and other detection systems.
In a conventional pulsed radar, a narrow, highvoltage pulse is applied to an
r.f. tube such as a magnetron which briefly oscillates at a fixed microwave frequency.
(Microwaves are used for radar because physically small antennas with good directional
properties can be obtained only at very high frequencies.) This microwave pulse
is first transmitted. A receiving antenna and detector then monitor for target echoes,
and these returns are displayed on a cathoderay tube whose sweep is synchronized
with the transmitted pulse. The time it takes an echo to get back to the receiver
is directly related to the distance between radar and target. The radar burst travels
at the speed of light, or roughly 1000 feet in a microsecond. Since the transmitted
signal has to make a round trip, each microsecond of delay accounts for a targettoradar
distance of 500 feet. Another pulse is transmitted after all the initial echoes
have had a chance to return. This process is repeated again and again, thus producing
a continuous plot of targets.
The bigger a target is, the more energy it will return and the brighter it will
appear on the display. Further signal processing, based upon the Doppler effect,
can determine whether the target is moving or stationary, and if moving, in what
direction and how fast.
Chirp becomes valuable only when the ultimate limits of the conventional pulse
radar fall short of the required performance in range and resolution. Range of a
radar is the maximum target distance at which reliable echo returns can be expected,
while resolution is its ultimate ability to discriminate between two closely spaced
targets while still giving two distinct return echoes.
Range is determined by the amount of r.f. energy being transmitted. This is equal
to the pulse height (power) multiplied by the pulse width (time). (Power X time
= energy.) This is equal to the area of the transmitted pulse. The range of a radar
is proportional to the fourth root of the transmitted energy because both radar
and target transmit energy in a squarelaw manner. To double the range of a radar,
the transmitted energy must be increased by a factor of 2^{4} or 16 times.
Resolution of a radar is determined solely by transmitter pulse width. Two targets
separated by less than the pulse width will give a single echo return because the
end of the transmitted pulse will be reflected by the near target at the same time
the beginning of the transmitted pulse is being reflected from the far target.
Range and resolution, therefore, are two radar system requirements in opposition
to each other. To obtain resolution, the transmitted pulse must be as narrow as
possible to obtain range, the area of the transmitted pulse must be a large as possible.
These two taken together result in a very narrow, extremely highpower r.f. pulse.
System and component capabilities then enter the picture. The transmitter tubes
are asked to provide very brief pulses of extreme power, sometimes as high as several
megawatts. The narrow duty cycles used in very brief pulses are inefficient. There
is also an upper limit to the maximum voltage power supply that is practical in
an airborne application, due to arcing problems. Voltages in excess of 40 kV. become
quite troublesome. Highercurrent transmitting tubes can be used, but there is a
limitation here also. The resonant cavities of the tubes must be of a small size
if they are to produce microwaves; there is also a limit to the maximum currentproduced
heat that will not melt the tube structure.
This was the problem before chirp. What was needed was a method of increasing
the transmitted pulse length, thus increasing power, yet not degrading the resolution.
How Chirp Works
Fig. 2  If a linearly swept frequency is fed to a linear
display vs frequency network, the different portions of the signal will be delayed
long enough so that all frequencies will pile up into a narrow output pulse. This
network can also be used in reverse.
To explain chirp, consider the imaginary system of Fig. 1. Instead of transmitting
a single frequency pulse, the radar now transmits, in turn, four discrete frequencies
forming the overall transmitted pulse. The first frequency (f_{1}) is transmitted
for a time T, then frequency f_{2} for a time T, then f_{3} for
time T, and finally f_{4} for time T. The time length T (in microseconds)
of each frequency of transmission is identical. The receiver uses four separate
filters and detectors for the targetreturned frequencies f_{1}, f_{2},
f_{3}, and f_{4}. The outputs of the four detectors are then timedelayed
in such a manner that the outputs all "pile up" or coincide in time. Thus, f_{1}
is delayed for 3T seconds, f_{2} for 2T seconds, f_{3} for T seconds,
and f_{4} is not delayed. The summed output pulse width is T seconds. However,
the original transmitted pulse was 4T seconds long; therefore, the resolution has
been increased by a factor of four with no decrease in transmitted energy.
Resolution is determined by what each individual detector receives, which is
a pulse only T microseconds wide. With a conventional radar, the return pulse would
have to be 4T microseconds wide.
This 4:1 improvement does not have to mean heightened resolution. It can just
as well be a 4:1 increase in transmitted energy resulting in increased range with
no change in resolution. By the fourthroot law, this would extend radar range by
a factor of 1.20. Or, if both the conventional range and resolution were satisfactory,
the fourfrequency modulation technique reduces the peak power required by a factor
of four, thus greatly simplifying system power supplies.
The more frequencies that are used and the less time spent at each frequency,
the better will be the result. The limit of more and more frequencies is a linearly
swept signal. The delay required at the receiver would then be a linearly increasing
delay vs frequency device. This is the foundation of chirp.
A chirp radar is one that transmits a sweptfrequency signal, receives it from
a target, and then delays the signal in such a manner that the return signal is
compressed in time to give a short, intense return signal. The swept signal is called
the chirp signal. The final narrow pulse is called the dechirped, collapsed, or
compressed signal.
When a linearly swept or chirp signal is run through a linear delay vs frequency
network, as in Fig. 2, the various frequencies are delayed so that they pile
up in time at the output. This piling up does not result in a perfectly rectangular
pulse, but instead the signal assumes the shape of the pulse shown in Fig. 2.
This pulse is called a (sin x/x) pulse because this is its mathematical shape. (A
mathematician at this point might correctly point out that chirp radar signal processing
is nothing but a means of taking the Fourier transform of the rectangular energy
spectrum of the transmitted signal. This is where the (sin x/x) pulse comes from.)
If the sidelobes of this waveform are eliminated, a very good approximation to a
conventional rectangular pulse results.
Fig. 3  A "chirp" radar system requires much less power
than a pulsed radar to produce equal range and target resolution.
Fig. 4  The sidelobes of the collapsed chirp pulse can
be significantly reduced by the "weighting" technique.
A linear delay vs frequency network is a reciprocal device. This means that a
(sin x/x) pulse can be fed through the network to produce a sweptfrequency signal
or a linearly swept signal can produce a (sin x/x) pulse.
In a chirp radar, a (sin x/x) pulse of the desired resolution is generated and
passed through the network to produce a sweptfrequency signal. This signal is then
transmitted at microwave frequency at the required highpower level. The echo returns
are then received and passed through a second delay network to obtain return echoes
the same shape and resolution as the initial (sin x/x) pulse. In the process, a
significant improvement in range, resolution, and peakpower requirement is obtained.
The ratio of lengths between the swept signal and the (sin x/x) pulse is called
the chirp ratio and is a figure of merit of the expected improvement of a chirp
system over a conventional system. The chirp ratio can be as high as several hundred
although the minimum chirp ratio meeting system requirements is always chosen, since
the wide receiver bandwidths needed add greatly to system cost and complexity.
A chirped radar is compared to a conventional radar in Fig. 3. Here the
chirp ratio is about five. Although both radars have equal range and resolution,
only 1/5 the peak power is required using the chirp system.
There are a number of ways of generating the swept signal. There is a distinct
advantage to the method of starting with a (sin x/x) pulse and passing it through
a delay network. If the same network is used for both chirping and dechirping, any
system nonlinearities or distortions cancel, giving a cleaner signal than would
otherwise be possible. This is called a matchedfilter technique, a tremendously
significant radar tool. It is possible also to actively generate a linearly swept
frequency without using a delay network. This method is simpler but requires very
careful control of system linearity and sweep rate.
There are likewise a number of dechirp, or pulse compression, methods. Certain
ultrasonic aluminum delay lines, as well as special quartz delay lines, can directly
produce the required delay vs frequency characteristic. A delay line that delays
various frequencies different lengths of time is called a dispersive line. A second
method uses a bridgedT network. By carefully "stacking" the right number of bridgedT's,
with properly chosen delay widths and center frequencies, a linear delay vs frequency
can be very closely approximated. The complexity of this method is offset by the
wide bandwidth and adjustability attainable.
There are some more subtle but equally significant advantages of chirp. Note
that a chirp system has to have a much wider receiver bandwidth than a conventional
pulsed radar of equal peak power. Also note that the energy transmitted is distributed
over a much wider range of frequencies. This makes the radar relatively immune to
jamming.
There is another significant advantage of chirp. The delay network will only
pile up, or compress, one particular swept frequency whose slope and bandwidth exactly
match the network. Random signals fed into the delay network will not pile up and
will come out of the network with the same amplitude they had when they went in
(assuming a lossless network). However, the real signal will pile up by the chirp
ratio and increase in amplitude by the same factor. This means that the signaltonoise
ratio of the radar echo returns is considerably improved going through the delay
network.
One thing remains  the side lobes on the (sin x/x) pulse. By controlling, or
shaping the amplitude of the sweptfrequency signal before or after it is transmitted,
the side lobes can be very greatly reduced in magnitude (Fig. 4). This increases
the radar dynamic range.
For further reading in chirp and chirped radars, the references listed below
might be of interest. Most of the references assume an extensive knowledge of advanced
mathematics and, with the exception of reference 1, might make fairly difficult
reading. Sources 1 and 2 are excellent general radar texts, while the others deal
specifically with chirp and pulse compression.
References
1. Ridenour, L. N.: "Radar System Engineering," McGrawHill Book
Co.,New York, 1945, or Boston Technical Lithographers, Lexington, Mass., 1963.
2. Skolnik, M. I.: "Introduction to Radar Systems," McGrawHill Book
Co., New York,1962.
3. Klauder, J. R. et al.: "The Theory and Design of Chirp Radars,"
Bell System Technical Journal, July 1960.
4. "IRE Transactions on Military Electronics," Vol MIL6, April 1962.
Special issue on signal processing radar.
5. Omeara, T. R.: "The Synthesis of BandPass AllPass TimeDelay
Networks Using Graphical Approximation Techniques,"
Hughes Research Report No. 114, Hughes Research Labs., Malibu, California.
Posted March 31, 2020 (updated from original post on 2/23/2015)
