<p>I can think of at least four very different ways that "astronomers convert radio signals received by their antenna to images."</p>

<h2>1. Scanning</h2>

<p>This is the <em>oldest</em> and easiest to understand way to image. <a href="https://astronomy.stackexchange.com/a/16242/7982">The answer</a> to the question <a href="https://astronomy.stackexchange.com/q/16238/7982">How did single dish (or single receiver) radio telescopes originally generate images?</a> sums it up concisely:</p>

<blockquote>
  <p>They scan the object, if you point the dish a a point in the sky as the Earth rotates the dish scans across astronomical objects, then move the dish to point at a slightly different position and let it scan across the object again, and again. After a while you can re-construct an image from the scan lines in a similar way to analogue TV.</p>
</blockquote>

<p>Here is an early 1D projection of scanning the plane of our Milky Way galaxy from <a href="http://adsabs.harvard.edu/abs/1958MNRAS.118..379O" rel="nofollow noreferrer">The galactic system as a spiral nebula</a> Oort, J. H.; Kerr, F. J.; Westerhout, G.  MNRAS 118, (1958) p. 379. This image is reversed tone for better clarity. </p>

<p>For more information see answer(s) to <a href="https://astronomy.stackexchange.com/q/28083/7982">Why the blank wedges in this very early 21 cm map of the Milky Way? (Oort et al. 1958)</a></p>

<p><a href="https://i.sstatic.net/bjDoE.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/bjDoE.jpg" alt="Oort 1958 Milky Way radio image"></a></p>

<hr>

<h2>2. Interferometry (most common technique today)</h2>

<p>If you receive an incoming wavefront from two or more different locations, which in this case means two or more antennas, you can <em>use math</em> to reconstruct an image. This is called interferometric imaging and these days it's done by feeding the signals from each antenna to a large, fast computer known as a correlator. However in the early days of interferometric imaging the interference was actually done electronically, with amplified signals from each antenna combined in a mixer and other electronics.</p>

<p>In fact, one of the earliest techniques of radio interferometry used a single antenna which collected both a direct signal from the source and a signal taking a longer path by reflecting off of water! This is called <a href="https://en.wikipedia.org/wiki/Sea_interferometry" rel="nofollow noreferrer">Sea interferometry</a> and in this case the water acts as a <a href="https://en.wikipedia.org/wiki/Lloyd%27s_mirror" rel="nofollow noreferrer">Lloyd's Mirror</a>. This is one dimensional imaging only.</p>

<p>Read more about this in <a href="http://www.atnf.csiro.au/outreach/about/history/doverheights/index.html#DoverInterferometry" rel="nofollow noreferrer">Radio Astronomy at Dover Heights</a> as well as in the paper <a href="http://adsabs.harvard.edu/abs/1953AuJPh...6..420B" rel="nofollow noreferrer">Galactic Radiation at Radio Requencies V. The Sea Interferometer</a> J. G. Bolton and O. B. Slee, Australian Journal of Physics, vol. 6, p.420, December 1953.</p>

<p><a href="https://i.sstatic.net/zYzxy.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/zYzxy.jpg" alt="Radio Astronomy at Dover Heights"></a></p>

<p><a href="https://i.sstatic.net/DM7V1.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/DM7V1.jpg" alt="Radio Astronomy at Dover Heights"></a></p>

<hr>

<p><a href="https://i.sstatic.net/qkO5q.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/qkO5q.jpg" alt="enter image description here"></a></p>

<p><strong>above:</strong> <a href="https://en.wikipedia.org/wiki/Very_Large_Array" rel="nofollow noreferrer">Very Large Array</a> (<a href="https://en.wikipedia.org/wiki/File:USA.NM.VeryLargeArray.02.jpg" rel="nofollow noreferrer">Source</a>)</p>

<p>You may have seen images of (material around) a black hole recently. In this case the signals from each antenna were recorded on to hard drives, which were then shipped to a central location before being put into a computer correlator, but mathematically it is the same process. See answer(s) to <a href="https://astronomy.stackexchange.com/q/20082/7982">How does the Event Horizon Telescope implement the interferometry?</a></p>

<hr>

<h2>3. Direct imaging using focal plane arrays</h2>

<p>The question <a href="https://astronomy.stackexchange.com/q/16237/7982">What is the highest granularity focal-plane array on a dish radio telescope? Or is this the ONLY ONE?</a> shows the first image below, of the <a href="http://www.atnf.csiro.au/research/multibeam/.overview.html" rel="nofollow noreferrer">Parkes 21cm Multibeam Receiver</a> and seems to be dated 1997. In <a href="https://astronomy.stackexchange.com/a/24045/7982">this answer</a> links to <a href="https://www.rug.nl/fse/news/first-image-with-apertif_-a-new-life-for-the-westerbork-radio-telescope" rel="nofollow noreferrer">First image with Apertif: a new life for the Westerbork radio telescope</a> which is shown in the second image.</p>

<p><a href="https://i.sstatic.net/lE5ke.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/lE5ke.png" alt="Parkes 21cm Multibeam Receiver"></a></p>

<p><a href="https://i.sstatic.net/YIp9W.jpg" rel="nofollow noreferrer"><img src="https://i.sstatic.net/YIp9W.jpg" alt="Westerbork radio telescope&#39;s Apertif"></a></p>

<hr>

<h2>4. Delay-Doppler radar</h2>

<p>This is the coolest method! It is based on radar, which means that from one dish astronomers beam a carefully modulated radio signal towards a planet or asteroid, and receive the reflected beam in a separate dish. This kind of radar is called delay-doppler because it extracts two kinds of information from the returned signal, the total delay time giving distances, and the doppler shift caused by the velocity of the surface doing the reflecting. </p>

<p>If the body is rotating, different areas will be moving towards or away from us depending on their location, and different parts will be closer or farther away from us, also depending on location. If they receive enough signals over a long enough period of time, they can reconstruct a hypothetical image of the shape of the object.</p>

<p>See The Planetary Society's Senior Editor and Planetary Evangelist Emily Lakdawalla's <a href="http://www.planetary.org/blogs/emily-lakdawalla/2010/2462.html" rel="nofollow noreferrer">How radio telescopes get "images" of asteroids</a> and <a href="https://astronomy.stackexchange.com/a/30267/7982">this answer</a> for more on this technique.</p>

<p><strong>Left:</strong> A very slow GIF <a href="http://www.planetary.org/blogs/emily-lakdawalla/2010/2462.html" rel="nofollow noreferrer">Source</a>.</p>

<p><strong>Right:</strong> A radar image shows asteroid 3122 Florence and tiny echoes from its two moons. <a href="https://i.sstatic.net/YIp9W.jpg" rel="nofollow noreferrer">Here is an animation</a> that shows them more clearly. The direction of the radar illumination (and thus the direction toward Earth) is at the top." From <a href="https://i.sstatic.net/YIp9W.jpg" rel="nofollow noreferrer">here</a>. NASA / Jet Propulsion Laboratory. This is a small subset of the frames contained in the original 36 MB GIF, and the size has been decreased by a factor of 2 in order to fit in SE's 2 MB limit. From the question <a href="https://astronomy.stackexchange.com/q/22480/7982">What is the physical geometry of this apparent "eclipse" of a tiny moon of Asteroid Florence?</a></p>

<p><strong>Note:</strong> These two images do not necessarily have the same orientation.</p>

<p><a href="https://i.sstatic.net/sMeV5.gif" rel="nofollow noreferrer"><img src="https://i.sstatic.net/sMeV5.gif" alt="Delay-Doppler Imaging Emily Lakdawalla"></a> <a href="https://i.sstatic.net/Pn291.gif" rel="nofollow noreferrer"><img src="https://i.sstatic.net/Pn291.gif" alt="enter image description here"></a></p>

CC BY-SA 4.0
2019-04-27T07:35:52.003Z
2019-04-27T07:48:36.073Z
2019-04-27T07:48:36.073Z
uhoh
<p>I realized that after answering the question <a href="https://astronomy.stackexchange.com/q/31651/7982">How do astronomers convert radio signals received by their antenna to images?</a> I had missed the point that the OP was only asking about software.</p>

<p>I've written this question about experimental techniques as a companion question in order to move my answer from there to here.</p>

<observational-astronomy><radio-astronomy>
Which techniques are used to convert radio signals received by antenna to images?
uhoh
# Which techniques are used to convert radio signals received by antenna to images?

(Asked by: username_0 on 2019-04-27)

I realized that after answering the question [How do astronomers convert radio signals received by their antenna to images?](https://astronomy.stackexchange.com/q/31651/7982) I had missed the point that the OP was only asking about software.

I've written this question about experimental techniques as a companion question in order to move my answer from there to here.

**Tags:** observational-astronomy, radio-astronomy

---

## 1 answers

### Answer by username_0 on 2019-04-27. Score: 3 | Accepted answer

I can think of at least four very different ways that "astronomers convert radio signals received by their antenna to images."

## 1. Scanning

This is the *oldest* and easiest to understand way to image. [The answer](https://astronomy.stackexchange.com/a/16242/7982) to the question [How did single dish (or single receiver) radio telescopes originally generate images?](https://astronomy.stackexchange.com/q/16238/7982) sums it up concisely:

> They scan the object, if you point the dish a a point in the sky as the Earth rotates the dish scans across astronomical objects, then move the dish to point at a slightly different position and let it scan across the object again, and again. After a while you can re-construct an image from the scan lines in a similar way to analogue TV.

Here is an early 1D projection of scanning the plane of our Milky Way galaxy from [The galactic system as a spiral nebula](http://adsabs.harvard.edu/abs/1958MNRAS.118..379O) Oort, J. H.; Kerr, F. J.; Westerhout, G. MNRAS 118, (1958) p. 379. This image is reversed tone for better clarity.

For more information see answer(s) to [Why the blank wedges in this very early 21 cm map of the Milky Way? (Oort et al. 1958)](https://astronomy.stackexchange.com/q/28083/7982)

[![Oort 1958 Milky Way radio image](https://i.sstatic.net/bjDoE.jpg)](https://i.sstatic.net/bjDoE.jpg)

---

## 2. Interferometry (most common technique today)

If you receive an incoming wavefront from two or more different locations, which in this case means two or more antennas, you can *use math* to reconstruct an image. This is called interferometric imaging and these days it's done by feeding the signals from each antenna to a large, fast computer known as a correlator. However in the early days of interferometric imaging the interference was actually done electronically, with amplified signals from each antenna combined in a mixer and other electronics.

In fact, one of the earliest techniques of radio interferometry used a single antenna which collected both a direct signal from the source and a signal taking a longer path by reflecting off of water! This is called [Sea interferometry](https://en.wikipedia.org/wiki/Sea_interferometry) and in this case the water acts as a [Lloyd's Mirror](https://en.wikipedia.org/wiki/Lloyd%27s_mirror). This is one dimensional imaging only.

Read more about this in [Radio Astronomy at Dover Heights](http://www.atnf.csiro.au/outreach/about/history/doverheights/index.html#DoverInterferometry) as well as in the paper [Galactic Radiation at Radio Requencies V. The Sea Interferometer](http://adsabs.harvard.edu/abs/1953AuJPh...6..420B) J. G. Bolton and O. B. Slee, Australian Journal of Physics, vol. 6, p.420, December 1953.

[![Radio Astronomy at Dover Heights](https://i.sstatic.net/zYzxy.jpg)](https://i.sstatic.net/zYzxy.jpg)

[![Radio Astronomy at Dover Heights](https://i.sstatic.net/DM7V1.jpg)](https://i.sstatic.net/DM7V1.jpg)

---

[![enter image description here](https://i.sstatic.net/qkO5q.jpg)](https://i.sstatic.net/qkO5q.jpg)

**above:** [Very Large Array](https://en.wikipedia.org/wiki/Very_Large_Array) ([Source](https://en.wikipedia.org/wiki/File:USA.NM.VeryLargeArray.02.jpg))

You may have seen images of (material around) a black hole recently. In this case the signals from each antenna were recorded on to hard drives, which were then shipped to a central location before being put into a computer correlator, but mathematically it is the same process. See answer(s) to [How does the Event Horizon Telescope implement the interferometry?](https://astronomy.stackexchange.com/q/20082/7982)

---

## 3. Direct imaging using focal plane arrays

The question [What is the highest granularity focal-plane array on a dish radio telescope? Or is this the ONLY ONE?](https://astronomy.stackexchange.com/q/16237/7982) shows the first image below, of the [Parkes 21cm Multibeam Receiver](http://www.atnf.csiro.au/research/multibeam/.overview.html) and seems to be dated 1997. In [this answer](https://astronomy.stackexchange.com/a/24045/7982) links to [First image with Apertif: a new life for the Westerbork radio telescope](https://www.rug.nl/fse/news/first-image-with-apertif_-a-new-life-for-the-westerbork-radio-telescope) which is shown in the second image.

[![Parkes 21cm Multibeam Receiver](https://i.sstatic.net/lE5ke.png)](https://i.sstatic.net/lE5ke.png)

[![Westerbork radio telescope's Apertif](https://i.sstatic.net/YIp9W.jpg)](https://i.sstatic.net/YIp9W.jpg)

---

## 4. Delay-Doppler radar

This is the coolest method! It is based on radar, which means that from one dish astronomers beam a carefully modulated radio signal towards a planet or asteroid, and receive the reflected beam in a separate dish. This kind of radar is called delay-doppler because it extracts two kinds of information from the returned signal, the total delay time giving distances, and the doppler shift caused by the velocity of the surface doing the reflecting.

If the body is rotating, different areas will be moving towards or away from us depending on their location, and different parts will be closer or farther away from us, also depending on location. If they receive enough signals over a long enough period of time, they can reconstruct a hypothetical image of the shape of the object.

See The Planetary Society's Senior Editor and Planetary Evangelist Emily Lakdawalla's [How radio telescopes get "images" of asteroids](http://www.planetary.org/blogs/emily-lakdawalla/2010/2462.html) and [this answer](https://astronomy.stackexchange.com/a/30267/7982) for more on this technique.

**Left:** A very slow GIF [Source](http://www.planetary.org/blogs/emily-lakdawalla/2010/2462.html).

**Right:** A radar image shows asteroid 3122 Florence and tiny echoes from its two moons. [Here is an animation](https://i.sstatic.net/YIp9W.jpg) that shows them more clearly. The direction of the radar illumination (and thus the direction toward Earth) is at the top." From [here](https://i.sstatic.net/YIp9W.jpg). NASA / Jet Propulsion Laboratory. This is a small subset of the frames contained in the original 36 MB GIF, and the size has been decreased by a factor of 2 in order to fit in SE's 2 MB limit. From the question [What is the physical geometry of this apparent "eclipse" of a tiny moon of Asteroid Florence?](https://astronomy.stackexchange.com/q/22480/7982)

**Note:** These two images do not necessarily have the same orientation.

[![Delay-Doppler Imaging Emily Lakdawalla](https://i.sstatic.net/sMeV5.gif)](https://i.sstatic.net/sMeV5.gif) [![enter image description here](https://i.sstatic.net/Pn291.gif)](https://i.sstatic.net/Pn291.gif)


---

