Analysis of gravitational wave data:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2009
|
| Edition: | 1. publ. |
| Series: | Cambridge monographs on particle physics, nuclear physics and cosmology
29 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XII, 257 S. graph. Darst. |
| ISBN: | 9780521864596 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface
page vii
Notation and conventions
χ
Overview of the theory of gravitational radiation
1
1.1
Linearized general relativity
2
1.2
Plane monochromatic gravitational waves
7
1.3
Description in the TT coordinate system
10
1.4
Description in the observer s proper reference frame
13
l.õ
Gravitational waves in the curved background
17
1.6
Energy-momentum tensor for gravitational waves
19
1.7
Generation of gravitational waves and
radiation reaction
20
Astrophysical sources of gravitational waves
26
2.1
Burst sources
27
2.2
Periodic sources
28
2.3
Stochastic sources
29
2.4
Case study: binary systems
30
2.5
Case study: a rotating
triaxial
ellipsoid
42
2.6
Case study: supernova explosion
45
2.7
Case study: stochastic background
47
Statistical theory of signal detection
51
3.1
Random variables
52
3.2
Stochastic processes
56
3.3
Hypothesis testing
62
3.4
The matched filter in Gaussian noise:
deterministic signal
71
3.5
Estimation of stochastic signals
76
vi
Contents
3.6
Estimation
of parameters
79
3.7
Non-stationary stochastic processes
90
4
Time series analysis
99
4.1
Sample mean and correlation function
99
4.2
Power spectrum estimation
101
4.3
Tests for periodicity
107
4.4
Goodness-of-fit tests
109
4.5
Higher-order spectra 111
5
Responses of detectors to gravitational waves
114
5.1
Detectors of gravitational waves
114
5.2
Doppler
shift between freely falling observers
115
5.3
Long-wavelength approximation
122
5.4
Responses of the solar-system-based detectors
124
6
Maximum-likelihood detection in Gaussian noise
131
6.1
Deterministic signals
131
6.2
Case studies: deterministic signals
150
6.3
Network of detectors
167
6.4
Detection of stochastic signals
184
7
Data analysis tools
192
7.1
Linear signal model
192
7.2
Grid of templates in the parameter space
197
7.3
Numerical algorithms to calculate the ^-statistic
201
7.4
Analysis of the candidates
208
Appendix A: The chirp waveform
212
Appendix B: Proof of the Neyman-Pearson lemma
218
Appendix C: Detector s beam-pattern functions
221
C.I LISA detector
222
C.2 Earth-based detectors
225
Appendix D: Response of the LISA detector
to an almost monochromatic wave
229
Appendix E: Amplitude parameters of periodic waves
233
References
235
Index
249
ANALYSIS OF
GR
A VIT ATION
AL- W A VE DATA
Research in this field has grown considerably in recent years due to the
commissioning of a world-wide network of large-scale detectors. This net¬
work collects a very large amount of data that is currently being ana¬
lyzed and interpreted. This book introduces researchers entering the field,
and researchers currently analyzing the data, to gravitational-wave data
analysis.
An ideal starting point for studying the issues related to current
gravitational-wave research, the book contains detailed derivations of
the basic formulae related to the detectors responses and maximum-
likelihood detection. These derivations are much more complete and
more pedagogical than those found in current research papers, and will
enable readers to apply general statistical concepts to the analysis of
gravitational-wave signals. It also discusses new ideas on devising the effi¬
cient algorithms needed to perform data analysis.
Ρ ι
ОТ
R
Jaranowski is an Associate Professor in the Faculty of Physics
at the University of
Białystok.
Poland. He has been a visiting sci¬
entist at the Max Planck Institute for Gravitational Physics and the
Friedrich
Schiller University of Jena, both in Germany, and the
Insti¬
tut des Hautes Études Scientifiques. France.
He currently works in the
field of gravitational-wave data analysis and general-relativistic problem
of motion.
Axdrzej
Królak
is a Professor in the Institute of Mathematics at
the Polish Academy of Sciences. Poland. He has twice been awarded the
Second Prize by the Gravity Research Foundation (once with Bernard
Schutz).
He has been a visiting scientist at the Max Planck Institute
for Gravitational Physics. Germany, and the Jet Propulsion Laboratory,
USA. His field of research is gravitational-wave data analysis and general
theory of relativity, and the phenomena predicted by this theory such as
black holes and gravitational waves.
|
| any_adam_object | 1 |
| author | Jaranowski, Piotr Królak, Andrzej |
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| classification_rvk | UH 8700 |
| ctrlnum | (OCoLC)311769509 (DE-599)BVBBV025563998 |
| dewey-full | 530.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
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| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV025563998 |
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| indexdate | 2024-07-09T22:36:34Z |
| institution | BVB |
| isbn | 9780521864596 |
| language | English |
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| physical | XII, 257 S. graph. Darst. |
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| spelling | Jaranowski, Piotr Verfasser (DE-588)142669474 aut Analysis of gravitational wave data Piotr Jaranowski ; Andrzej Królak Analysis of gravitational-wave data 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2009 XII, 257 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on particle physics, nuclear physics and cosmology 29 Gravitational waves Measurement Statistical methods Gravitationswellendetektor (DE-588)4576163-2 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Messwert (DE-588)4169543-4 gnd rswk-swf Gravitationswellendetektor (DE-588)4576163-2 s Messwert (DE-588)4169543-4 s Datenanalyse (DE-588)4123037-1 s DE-604 Królak, Andrzej Verfasser (DE-588)14266958X aut Cambridge monographs on particle physics, nuclear physics and cosmology 29 (DE-604)BV005321866 29 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020163120&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020163120&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Jaranowski, Piotr Królak, Andrzej Analysis of gravitational wave data Cambridge monographs on particle physics, nuclear physics and cosmology Gravitational waves Measurement Statistical methods Gravitationswellendetektor (DE-588)4576163-2 gnd Datenanalyse (DE-588)4123037-1 gnd Messwert (DE-588)4169543-4 gnd |
| subject_GND | (DE-588)4576163-2 (DE-588)4123037-1 (DE-588)4169543-4 |
| title | Analysis of gravitational wave data |
| title_alt | Analysis of gravitational-wave data |
| title_auth | Analysis of gravitational wave data |
| title_exact_search | Analysis of gravitational wave data |
| title_full | Analysis of gravitational wave data Piotr Jaranowski ; Andrzej Królak |
| title_fullStr | Analysis of gravitational wave data Piotr Jaranowski ; Andrzej Królak |
| title_full_unstemmed | Analysis of gravitational wave data Piotr Jaranowski ; Andrzej Królak |
| title_short | Analysis of gravitational wave data |
| title_sort | analysis of gravitational wave data |
| topic | Gravitational waves Measurement Statistical methods Gravitationswellendetektor (DE-588)4576163-2 gnd Datenanalyse (DE-588)4123037-1 gnd Messwert (DE-588)4169543-4 gnd |
| topic_facet | Gravitational waves Measurement Statistical methods Gravitationswellendetektor Datenanalyse Messwert |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020163120&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020163120&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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