Studies in Gravitational Wave Data Analysis

List of Publications......Page 10
Preface......Page 16
Introduction: Gravitational Waves, Detectors and Sources......Page 22
Gravitational waves......Page 25
Linear field approximation......Page 26
Propagation of gravitational waves......Page 28
The effect of waves on free particles and its polarisation......Page 30
Generation of gravitational wave......Page 33
Gravitational wave detectors......Page 37
Bar detectors......Page 39
Ground based laser interferometric detectors......Page 44
Laser interferometric space antenna......Page 47
Sources of gravitational waves......Page 49
Transient sources......Page 50
Continuous gravitational wave......Page 52
Stochastic waves......Page 53
Introduction......Page 56
Gravitational wave antenna sensitivity......Page 57
Noises in the earth based interferometric detectors......Page 61
Matched filtering and optimal signal-to-noise ratio......Page 64
Computational costs......Page 69
Detection criteria......Page 71
Introduction......Page 74
The noise free response of detector: Beam pattern and amplitude modulation......Page 76
Doppler shift and Frequency modulation......Page 84
Fourier transform of the complete response......Page 93
Discussion......Page 102
Introduction......Page 104
Frequency modulation......Page 105
Complete response......Page 110
Fourier transform for arbitrary observation time......Page 117
Spin down......Page 128
N-component signal......Page 130
Discussion and conclusions......Page 132
Introduction......Page 134
Matched filter analysis: Templates......Page 136
Number of Templates......Page 143
Appendices......Page 148
Source code of the frequency modulated signal: FM.F......Page 150
Source code of the noise free complete response of the detector: CR.F......Page 154
Source code for the estimation of templates for all sky search: TEM.F......Page 162
Bibliography......Page 168