A signal candidate is a group of two or more events detected at different times in the
same one-beamwidth area of the sky. Events are identified by SETI@home's pattern detection
algorithms as Gaussians,
spikes, pulses, and triplets. A
fundamental goal of SETI@home is to identify these signal candidates and determine which
ones are the most likely to represent extraterrestrial communication.
Prioritizing these candidates takes place on several levels: the event level, the candidate
level, and the multiple-algorithm level.
- On the event level, scores are assigned to individual events that are
algorithm-specific. Gaussians, pulses, spikes, and triplets all have different scoring
systems unrelated to one another. Thus, we can prioritize Gaussians relative to other
Gaussians, for example, but at this level we can't directly compare a Gaussian to a spike.
- On the candidate level, we calculate the probability that a set of persistent
events could occur by noise alone. Thus, candidate scores are probabilities where values
close to zero are more interesting than values approaching 1. The events comprising each
candidate all come from the same detection algorithm. (For example, as of April 21, 2002,
the candidates on our best
signal candidates list are each composed of Gaussian events alone.) The candidate
scoring formula (and a more specific explanation) is given in the box below.
Score = (Ne Nd *
FrequencyFactor * PositionFactor) / (Nd)!
- Ne = number of events across all frequencies
- Nd = number of persistent events (events occurring within the
frequency window fwin)
- FrequencyFactor = [(fwin/ftot)Nd-1]*[(RMS(f)+Freq_uncert)/Freq_uncert]
- fwin = size of the allowed frequency window: 125 Hz
- ftot = total searched frequency band: 2.5 MHz
- Freq_uncert = the barycentric uncertainty across the telescope beam: 50 Hz
- PositionFactor = [(Pwin/Ptot)Nd-1]*[(
SQRT(RMS(ra)2+RMS(dec)2)+Pos_uncert)/Pos_uncert]
- Pwin = size of the allowed position window: 6*6 arc minutes
- Ptot = total searched region: 360*40*3600 arc minutes
- Pos_uncert = pointing uncertainty of telescope beam: 3 arc minutes
Formula Summary:
Score is a Poisson statistic comparing the number of events from a given candidate (Nd) to the number of events expected by chance within that candidate's
frequency window (fwin). In this case we use frequency and not
position because, unlike position, the distribution of hits across frequency is
approximately even (a requirement of Poisson statistics). A candidate's quality is also
proportional to the closeness in frequency ("FrequencyFactor") and sky position
("PositionFactor") among its members. |
- On the multiple-algorithm level, we compare spikes, Gaussians, triplets, and
pulses together to identify important "hot spots" in space. For example, some
detections might be identified as part of both a triplet and a Gaussian. Directly
comparing these different events is difficult, since the algorithms that identify them are
not orthogonal (statistically independent) to one another. Nonetheless, making such
comparisons can help "highlight" certain regions of space for further study and
observation.
With even the highest-scoring signal candidates, there is always a high likelihood they
were created by RFI,
satellites, or natural astronomical phenomena (like supernovas). Much re-assessment,
re-observation, and independent corroboration is required to conclusively determine
evidence of extraterrestrial intelligence. (See "identifying
final candidates" for more details.) Still, as SETI@home users process more data
and discover stronger candidates, our chances of answering a fundamental existential
question become better and better: Are we alone? |