Magical
frames of reference and signal candidates Eric
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| The SETI@home screensaver identifies four different types
of events: spikes,
Gaussians,
pulses,
and triplets.
Our science team analyzes and removes events clearly caused by
Earth broadcasts (also called RFI),
leaving us with noise and (hopefully) ET. Distinguishing an ET
signal from noise is not easy. One way to distinguish the two
is to assume that extraterrestrials send signals persistently
over time. (These signals could be intentional attempts at
communication or merely leakage. Our own civilization on Earth
has been leaking radio signals into space for about 60 years
now, beginning with radio and television programs such as "The
I Love Lucy Show". That show may seem outdated now, but it's
only entering its first season at locations 60 light-years
away from us.) Over the past 3 years, SETI@home has
accumulated enough data to cover each part of the sky
approximately 3-4 times, giving us the ability to match up
signals arriving from the same direction in space. If these
matching signals have similar frequencies, then it's quite
possible they were emitted by the same source. |
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 I Love LucyEarth's Ambassador to
the Stars: An example of radio leakage from
Earth. |
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| Dealing with the
Doppler effect |
| But what constitutes a "similar" frequency match? From our
position here on Earth, it's not always obvious which incoming
signals have matching frequencies because of a phenomenon
called "the Doppler effect". Here is the dictionary
definition: "The Doppler effect is a change in the frequency
at which waves [radio waves, in SETI@home's case] from a given
source reach an observer when the source and the observer are
in motion with respect to each other so that the frequency
increases or decreases according to the speed at which the
distance is decreasing or increasing." For example, when you
hear a car honking as it passes you, the frequencyor pitchof
the sound changes as the car passes. Similarly, if the Earth
is moving toward an incoming signal, that signal's
frequency will appear higher than if the Earth is moving
away from that same signal.
Most bodies in space are spinning and moving relative to
one another, and this movement changes incoming frequencies
detected at the Arecibo radio telescope. Furthermore, if a
body is in an orbit, over time it will move toward and away
from us at different rates. Thus, if we detect the same signal
from the same source at three different times, the detection
frequency for that signal might be different each time. (See
Figure 1.)
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Figure 1: If an orbiting source
(such as a planet) emits a persistent signal, a
telescope on Earth might detect three completely
different frequencies for that signal, depending on the
source's orbital location.

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Incoming frequencies are also affected by Earth's own spin
and rotation around the sun. We can compensate for this
movement by calculating barycentric
frequency, which is the frequency we would detect if were
at rest relative to the gravitational center of the solar
system (or "barycenter"). We can also compensate for
"drifting" signals (signals that rise and fall in frequency
over short periods of time) by calculating chirp
rates. However, we can't control for the movements of an
incoming signal's source. (We have no way of estimating
how an unknown source was moving when it emitted the signal.)
Thus, we will still detect undirected extraterrestrial radio
leakage at different barycentric frequencies over time.
To be certain of catching signals that might come from the
same source, we need to allow for a wide frequency range of
+/-50,000 Hz. This wide range covers the maximum Doppler
shifts we would expect from a source. We currently have
hundreds of thousands of signal matches using this criteria.
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| Magical frames of
reference |
| But what if an extraterrestrial source is actually taking
its own movements into account when emitting signals?
For example, when sending a signal, an extraterrestrial
civilization might control for its home planet's orbit around
a star, its movement within a galaxy, or even its movement
relative to the center of the universe. As a result, incoming
barycentric frequencies detected at Earth would be constant
over time. The probability of such an unwavering frequency
occuring by chance is extremely small, and so its detection
would provide strong evidence for extraterrestrial
intelligence.
We want to be able to detect and prioritize these cases,
and so we specifically search for signal candidates with
"magical frames of reference"sets of signals sent by a source
who was using a frame of reference relative to its position in
a solar system, galaxy, or universe. More than just "leakage",
such a discovery would imply an intentional attempt by an
extraterrestrial civilization to send intelligible
communication into spacetruly a "magical" revelation. Signals
coming from the same location in space at tightly matching
frequencies (within 125 Hz, to account for a small margin of
error) are considered candidates with a magical frame of
reference. (See Figure 2.)
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Figure 2: If a source emits a
signal while controlling for its own orbital movements,
a telescope on Earth will detect the same barycentric
frequency regardless of the source's orbital position.
Such a detection would be identified as having a
"magical frame of reference".

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We're currently compiling lists of both general and
"magical frame of reference" candidates. At this time we are
only identifying candidates that match within individual
signal types. (In the near future we will be matching across
different types as well.) The table below shows the
approximate number of candidates in each current list.
|
Special reference frame (+/-125 Hz) |
General (+/-50,000 Hz) |
| Gaussian candidates |
~3,000 |
~150,000 |
| Pulse candidates |
~60,000 |
~150,000 |
| Triplet candidates |
~60,000 |
~150,000 | |
These numbers will rise as more data from SETI@home
screensavers come in, and fall as more RFI is detected and
removed. Eventually, we expect that most, if not all, of these
candidates will be conclusively identified as RFI or noise. We
will publish the best matches from each list on our website
soon. (Some of the Gaussian candidates are already
available.) Until then, everyone keep up the good work
crunching data, and we will be reporting our progress as it
happens.
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