1. WaveBurst upgrade for S3 analysis
S.Klimenko, I.Yakushin
University of Florida
Motivation
Multi-resolution analysis
Parameter space
Summary
S.Klimenko, August 2004, LSC, G Z 1

2. motivation Implementation of “original” WB algorithm
add analysis at multiple TF resolutions
more flexible time shift analysis
single and multiple detector options
use different analysis environment: DMT+Condor
make development cycle shorter
simplify debugging, validation and testing
reduce data processing time
S.Klimenko, August 2004, LSC, G Z 2

3. Wavelet scalograms linear dyadic decomposition in basis {Yi(t)}
critically sampled
DWT
DfxDt=0.5 d4 d3 d2 d1 d0 a
a. wavelet transform tree
b. wavelet transform binary tree
dyadic
linear
LP HP
time-scale(frequency) spectrograms
S.Klimenko, August 2004, LSC, G Z 2

4. representation of SG 850Hz
Wavelet Resolution
representation of SG 850Hz
with Symlet wavelet
t=10 ms
resolution
64 Hz X 1/128 sec
optimal
t=100 ms
t=1 ms
S.Klimenko, August 2004, LSC, G Z 2

5. Optimal Resolution run analysis in a range of TF resolutions t=10 ms
(rotation in larger space)
t=10 ms
64 Hz X 1/128 sec
optimal
t=1 ms
t=1 ms
256 Hz X 1/512 sec
t=100 ms
8 Hz X 1/16 sec
optimal
optimal
S.Klimenko, August 2004, LSC, G Z 2

6. WaveBurst multi-resolution analysis
wavelet tree Dt Df
2Dt
Df/2
cover range of resolutions by selecting nodes from wavelet tree.
select pixels with maximum excess power
S.Klimenko, August 2004, LSC, G Z 2

7. Coverage of the parameter space
Signals with large TF volume ?
for example windowed white noise.
need multi-detector pipeline
coherent excess power
(model independent, implemented in WB)
similarity of waveforms
(r-statistics, can be model dependent)
S.Klimenko, August 2004, LSC, G Z 2

8. signal/noise parameter space
“LIGO cheese”: fc, Df, Dt (Lazzarini, Sutton)
Two-dimensional space: fc, V=Df x Dt
A time series sample has volume rs/2 x 1/rs = 1/2 (rs sampling rate) 1 10
100 V
f, Hz
LIGO
band
sources
noise
S.Klimenko, August 2004, LSC, G Z 2

9. LIGO noise parameter space
S3pg
White noise “
S.Klimenko, August 2004, LSC, G Z 2

10. ROC V=2 V=5 P=10% V=20 P=31% Burst signal with SNR 25: matched filter
S.Klimenko, August 2004, LSC, G Z 2

11. S2 rates
S.Klimenko, August 2004, LSC, G Z 2

12. S2 efficiency for SG See Igor’s talk
S.Klimenko, August 2004, LSC, G Z 2

13. S3 vs S2
WB version v3
S.Klimenko, August 2004, LSC, G Z 2

14. S3 vs S2
WB version v5
S.Klimenko, August 2004, LSC, G Z 2

15. Summary & Plans WaveBurst upgrade Implemented multiple TF resolutions
Sensitivity improvement 20%-100%
single and multiple detector options
S3 playground studies (both v4 & v5 versions)
sensitivity & rates
noise non-stationarity
resolve S3 analysis issues before next LSC
Preparations for S4
S.Klimenko, August 2004, LSC, G Z 2