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Preface | p. vii |
Notation and conventions | p. x |
Overview of the theory of gravitational radiation | p. 1 |
Linearized general relativity | p. 2 |
Plane monochromatic gravitational waves | p. 7 |
Description in the TT coordinate system | p. 10 |
Description in the observer's proper reference frame | p. 13 |
Gravitational waves in the curved background | p. 17 |
Energy-momentum tensor for gravitational waves | p. 19 |
Generation of gravitational waves and radiation reaction | p. 20 |
Astrophysical sources of gravitational waves | p. 26 |
Burst sources | p. 27 |
Periodic sources | p. 28 |
Stochastic sources | p. 29 |
Case study: binary systems | p. 30 |
Case study: a rotating triaxial ellipsoid | p. 42 |
Case study: supernova explosion | p. 45 |
Case study: stochastic background | p. 47 |
Statistical theory of signal detection | p. 51 |
Random variables | p. 52 |
Stochastic processes | p. 56 |
Hypothesis testing | p. 62 |
The matched filter in Gaussian noise: deterministic signal | p. 71 |
Estimation of stochastic signals | p. 76 |
Estimation of parameters | p. 79 |
Non-stationary stochastic processes | p. 90 |
Time series analysis | p. 99 |
Sample mean and correlation function | p. 99 |
Power spectrum estimation | p. 101 |
Tests for periodicity | p. 107 |
Goodness-of-fit tests | p. 109 |
Higher-order spectra | p. 111 |
Responses of detectors to gravitational waves | p. 114 |
Detectors of gravitational waves | p. 114 |
Doppler shift between freely falling observers | p. 115 |
Long-wavelength approximation | p. 122 |
Responses of the solar-system-based detectors | p. 124 |
Maximum-likelihood detection in Gaussian noise | p. 131 |
Deterministic signals | p. 131 |
Case studies: deterministic signals | p. 150 |
Network of detectors | p. 167 |
Detection of stochastic signals | p. 184 |
Data analysis tools | p. 192 |
Linear signal model | p. 192 |
Grid of templates in the parameter space | p. 197 |
Numerical algorithms to calculate the F-statistic | p. 201 |
Analysis of the candidates | p. 208 |
The chirp waveform | p. 212 |
Proof of the Neyman-Pearson lemma | p. 218 |
Detector's beam-pattern functions | p. 221 |
LISA detector | p. 222 |
Earth-based detectors | p. 225 |
Response of the LISA detector to an almost monochromatic wave | p. 229 |
Amplitude parameters of periodic waves | p. 233 |
References | p. 235 |
Index | p. 249 |
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