a waveform consistency test for binary inspirals using ligo data lsc inspiral analysis working group...
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A Waveform Consistency Test for Binary A Waveform Consistency Test for Binary Inspirals using LIGO dataInspirals using LIGO data
LSC Inspiral Analysis Working Group
LIGO-G050342-00-Z
LSC Meeting 8.16.05
Andres C. RodriguezGabriela González
(Louisiana State University)
Peter Shawhan(LIGO | Caltech)
03
• Data stream searched using matched filtering between data & template waveform.
• Transform data to frequency domain : s(f)
• Calculate the the output of optimal filter in frequency domain: h(f)
s(t) = n(t) + h(t)
LSC August 2005 Meeting - 8.16.05
dfefSfhfs
tz tfi
h
π2
0
*
|)(|)(~)(~
4)( ∫∞
=
LIGO-G050342-00-Z
Template based Template based Matched FilteringMatched FilteringTemplate based Template based
Matched FilteringMatched Filtering
~
~
Template based Template based Matched FilteringMatched Filtering
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LSC August 2005 Meeting - 8.16.05
• Signal to Noise:
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
LIGO-G050342-00-Z
• 2:
Template based Template based Matched Filtering - Matched Filtering -
ThresholdsThresholds
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LSC August 2005 Meeting - 8.16.05
• Signal to Noise: Require
• 2 : Use -dependent threshold to account for template mismatch
» Consider:
» Require r2 < r2*
• So if > * and r2 < r2* --> inspiral “trigger”€
r2 =χ 2
(p+ δ 2ρ 2)
> *
LIGO-G050342-00-Z
Simulated Inspiral Simulated Inspiral (Injection)(Injection)
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LSC August 2005 Meeting - 8.16.05
SNR
r2 r2*
*
time (s) to inferred coalescence
-2 0 +2
Injection
LIGO-G050342-00-Z
Injection vs. TriggerInjection vs. Trigger
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SNR
r2
time (s) to inferred coalescence
-2 0 +2
Injection Trigger
LIGO-G050342-00-Z
Injection vs. TriggerInjection vs. Trigger
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LSC August 2005 Meeting
r2
time (s) to inferred coalescence
Injection Trigger
-2 0
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The TestThe Test
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• Use the r2 time series as a method to search for excess noise
• Choose a test threshold “looser” than the r2 threshold the search employs
» Count the number of time samples above a given threshold in a time interval before inferred coalescence
• Time interval “window” chosen to be 2 seconds
• Do my triggers behave like software, hardware injections?» yes ->> keep» no ->> veto
LSC August 2005 Meeting - 8.16.05
LIGO-G050342-00-Z
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LSC August 2005 Meeting - 8.16.05
Nor
mal
ized
cou
nts
22 r20 200 0 70
LIGO-G050342-00-Z
22 , , r r22 distribution distribution
10
LSC August 2005 Meeting - 8.16.05
0 r2 1204022
LIGO-G050342-00-Z
Nor
mal
ized
cou
nts
22 , , r r22 distribution distribution
Injection vs. TriggerInjection vs. Trigger
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LSC August 2005 Meeting - 8.16.05
Time above Threshold = 0 sec Time above Threshold = 0.9 sec
r2
looser r2 threshold
LIGO-G050342-00-Z
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r2 threshold = 10
SNRLIGO-G050342-00-Z
window
H1 Injections
Preliminary Results for Preliminary Results for S3 H1 Injections + S3 S3 H1 Injections + S3
PlaygroundPlaygroundTi
me
abov
e r2 t
hres
hold
+ 0
.000
1s (s
)
Msol injections:1.4-1.4, 1.0-1.0, 3.0-3.0
10 kpc to 10 Mpc
Preliminary Results for Preliminary Results for S3 H1 Injections + S3 S3 H1 Injections + S3
PlaygroundPlayground
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r2 threshold = 10
SNRLIGO-G050342-00-Z
window
H1 Injections Triggers
Tim
e ab
ove
r2 thr
esho
ld +
0.0
001(
2)s
(s)
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r2 threshold = 10
SNRLIGO-G050342-00-Z
window
H1 Injections Triggers
Tim
e ab
ove
r2 thr
esho
ld +
0.0
001(
2)s
(s)
Preliminary Results for Preliminary Results for S3 H1 Injections + S3 S3 H1 Injections + S3
PlaygroundPlayground
For SNR ≤ 10 region with t = 065% of single ifo H1 triggers97% of single ifo H1 injections
Summary and PlansSummary and Plans
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• Preliminary testing r2 thresholds set to 10, with similar behavior for all three ifo’s.
• The test would be able to eliminate many of our loudest false triggers.
• Low SNR region is currently being investigated.
• Additional tuning using S3 Hardware Injections and injections into no noise.
• Will be incorporated into S3, S4 BNS search, and future online analysis.
LIGO-G050342-00-Z LSC August 2005 Meeting - 8.16.05