# How does a PESA radar work?

I have been trying to understand how a PESA radar works. Essentially, it uses one signal that is electronically delayed. How is the reception coordinated and known by the receiver?

I am interested in understanding the logic behind in delay of signal and reception/identification.

• My question tries to understand how different phases are obtained and how the reception of the coming signal is achieved Commented Feb 20, 2016 at 11:26
• Phase control is obtained by adjusting the delay (think adjusting the length of the connection) between the source and the antenna. After the signal has been sent (an interference pattern), it doesn't matter if it came from a PESA, and AESA or a moving antenna.
– mins
Commented Feb 20, 2016 at 11:29
• How is the reception perform? I guess that the panel is static but surrounds the complete 360º with emissors? What are the emiters? Commented Feb 20, 2016 at 12:43
• Yes, to cover 360° x 90° there will be 3 or 4 arrays, the maximum field of a flat array is an hemisphere. The signal is transmitted and received by the same individual antennas of the array (they can be any type of antenna, but likely a doublet or a patch.
– mins
Commented Feb 20, 2016 at 13:41

Your question: What is the logic behind the delay of the signal and how is the echo signal later bound with the signal sent?

A PESA is an array of individual antennas. Each antenna radiates the same signal, except the phase. The phase adjustment for each antenna allows for the non-moving array to behave like if it was rotated, i.e. the direction the energy is sent to or receive from can be selected by adjusting the phase for the individual antennas. In the example below, a simulation for a 5-element array, elements are separated by a distance of $$\lambda / 4$$ ($$\lambda$$ is the wavelength). The same phase offset is applied from one element to the next. By varying the offset, the direction of maximum strength is changed:

Varying the signal phase for an individual antenna of the array can be done by delaying the signal for this antenna, which in turn is as easy as making the electrical conductor (or waves guide) between the oscillator and the antenna longer.

PESA determines the transit time exactly like another more traditional one with a single rotating antenna. A signal sent by a PESA, after it has been sent, is indistinguishable from a signal sent by a rotating antenna radar (an array antenna can still be easily identified by its multiple side lobes, they are visible on the previous simulation).

Details

The principle of a primary radar is to send a radio signal in a given direction and wait for a possible echo. The direction of the radiation pattern is used in determining the direction (azimuth and elevation) of the reflecting object. The antenna must be very directional (small solid angle of the radiation pattern), else the angle determination cannot be precise.

Radiation pattern of an antenna with a parabolic reflector (source)

That means the antenna must be rotated to scan a useful portion of the sky (or ground).

To clarify the wording used, an antenna is usually composed of:

• A radiator which receives the signal to be transmitted (it also collects the waves in reception). The radiator is the interface between electrons and waves and vice-versa.
• A reflector used to reflect the waves from the radiator (it also focuses the waves on the radiator in reception).
• Sometimes directors to narrow the radiation pattern of the system.

The radiation pattern of an antenna is mostly determined by the shape of the reflector (e.g. the parabolic reflector) which only illuminates a given fraction of the space and, due to interferences, also varies the energy based on the direction the energy is sent to or received from. Due to the reflector, a signal from the radiator will usually travels using different paths created by the multiple reflections.

Interferences are the result of combining the electromagnetic signals at a given point. For signals having the same frequency, the phase determines if signals are added (same phase) or canceled (opposite phases).

Phase determines how signals interfere (source)

We can apply this phenomenon to the multiple signals created in an antenna composed of a radiator and a cylindrical reflector.

Signals summation on a cylindrical reflector antenna creates a privileged direction of radiation with some secondary (unwanted) lobes (source)

Array of radiators (electronically scanned array, ESA)

Another way of varying the privileged direction of a radiation pattern is to create interferences on a voluntary basis, so that they create a stronger signal in the desired direction, and a weaker signal elsewhere. The advantage is that this electronic direction change can be much quicker than a mechanical rotation.

One way to create interferences is to send the radar signal from an array of small radiators instead of a single big one.

Close-up of the front of the old Cobra Judy radar (source)

This type of array is quite familiar under the name interferometer in the field of astrophysics:

Siberian Solar Radio Telescope (SSRT) interferometer observing the Sun at 5.7 GHz (source)

If all radiators are fed with the same signal, then interferences will occur the same way on the whole surface and the result will be that the direction perpendicular to the array is privileged (image on the left side).

Electronic beam-deflection (left: bore sight, right: deflected (source)

The right side of the image shows what happens if the signal sent to the individual radiators is delayed in a coordinated way: Delay increases from right to left on the array. It must be remembered that delay means phase here. The direction of the signal is now oblique due to the the location of constructive and destructive interferences. The red circles indicates signal with the same phase.

See this animation too.

Delaying an electric signal is quite easy: Just increase the length of the conductor (see analog delay line). A length variation between 0 and the wave length (e.g. 10 cm for a wavelength of 10 cm -- 3 GHz) allows to sweep the whole range of possible phase values from 0 to 360°.

Indeed there are other ways to delay a signal without adjusting the length, but they are electrically equivalent. When signals are digitized, it's really easy to process them, there is less electro-mechanical constraints.

By varying the phase on individual radiators we can steer the signal as if the antenna had been rotated, but we can also focus the energy on a target.

(source)

PESA vs AESA

There are two approaches for feeding individual radiators with phase-shifted signals: active and passive:

• Active means the radiator has its own circuit to amplify its own signal. The active element must receive the value of the phase shift to use from a central element which coordinates the whole array.

(source)

• Passive means the radiator receives the signal to be sent and just radiates it. The signal must already have the required phase. This is usually done with a single amplifier which feeds an array of phase shifters which in turn feed the array of radiators.

Transmission vs reception

The beam formed by the array concentrate the energy during transmission. The signal sent is not different than one sent with a single large radiator (rotating radar antenna). This is also a general result of adding and canceling energy by interference.

An array conforms to the general rule: An antenna is reversible, the characteristics of the radiation pattern are also valid in reception. That means:

• Receive the same signal on all radiators
• Add individual delays (phase shifts) to obtain a privileged direction of energy origin. The phase values are inverted compared to the ones used for sending in this direction.
• Mix all signals into a single one to have them interfer and obtain a single mixed signal, equivalent to the one that would have been received with a rotating antenna.

The effect is that energy originating from directions other than the privileged one will be weakened, and the energy in the privileged direction will be emphasized.

Note that the phase is used to change the radiation pattern (process known as beam forming), but the rest of the radar is unchanged compared to a rotating single antenna one.

(Tell me if there is something that is not clear, I'll improve the post as necessary.)

Phase shifter

As mentioned a phase shifter is used on each individual antenna of the array. It should prevent signal loss, distortion and noise addition, and the phase must be controlled accurately and quickly, by steps or continuously.

For step by step (digital), delay lines are used, with a possibility to connect a variable number of them using switching diodes (e.g. pin diodes). See more on RadarTutorial.eu with an example of 4-bit shifter (16 phase-shift values). More details on this datasheet for a 6-bit shifter on S-band.

Continuous (analog) control can rely on a resonant circuit (LC) to delay the signal. The capacity value can be mechanically changed in MEMS.

(source)

This extends past what I know in the domain, but other technologies exist, and are detailed in Array Phase Shifters: Theory and Technology (Nasa, 2007), including:

Another style of phase shifter uses coupled microstriplines as dc electrodes to polarize a thin [...] ferro-electric film [...]. These planar phase shifters are fairly compact, low loss, easy to fabricate, and can provide 360° of phase shift with bias voltages under 350 V.

Phase shifters design depends on the operating wavelength of the radar.

Radiators used in a phased array antenna

Again the operating frequency impacts the radiators design.

Low frequencies may use:

Higher frequencies use other designs:

• Notch antenna (slot). Used on Russian N011M (also note the dipole array for lower frequency scan of this hybrid radar).
• Patch antenna (microstrip).
• Vivaldi antenna (tapered slot) for broadband spectrum.

• That's great, thanks. I still have some doubts... I will try to look them in internet or open another question Commented Feb 20, 2016 at 13:15
• Your answer is world class. Honestly, I am impressed, thanks. After investigating a little bit I have only 2 doubts, the first is how effectively the phase is done, you mentioned the length of the conductor is changed, but I guess it is not done that way. How is achieved? The second one, is which devices are used as radiators both in active and passive? If you think is a new question and I can ask it. Commented Feb 20, 2016 at 22:44
• @TrebiaProject.: Thanks a lot! I've added new elements (see at the bottom), but you could get better explanations with a new question.
– mins
Commented Feb 21, 2016 at 4:37
• Active does NOT mean that each radiator has its own oscillator to create its own signal. Active just means that each has it's own transmit (HPAs) and receive (LNAs) amplifiers at the element level. Commented Apr 20, 2022 at 20:54
• @SteveSh: Technically behind each element there is a switchable transmit/receive module (TRM) which consists in amplifiers and phase control. You're right in the sense there is a central source of RF power --thanks for saying it,-- this signal is then phase-shifted by each TRM to form the beam.
– mins
Commented Apr 21, 2022 at 9:19

To further illustrate @mins' excellent explanation, here are some animations and simulations.

Quick Raytheon marketing vid of the Air and Missile Defense Radar, a next-gen AESA for destroyers. It provides volume search, horizon search, periscope search, ballistic missile tracking, and missile guidance and target illumination, among other functions. Go to [0:30]:

Another Raytheon AMDR illustration. Go to [1:00]:

Third AMDR animation by Lockheed Martin:

The F-35's APG-81 AESA (an advanced derivative of the F-22's radar) is demoed here in a marketing vid by Northrop Grumman, the maker. Interesting bit at [1:00].

See here for a simple 15 element linear array.