First-stage LISA Data Processing and Gravitational Wave Data Analysis: Ultraprecise Inter-satellite Laser Ranging, Clock Synchronization and Novel Gravitational Wave Data Analysis Algorithms

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Springer, Dec 10, 2015 - Science - 228 pages

This thesis covers a diverse set of topics related to space-based gravitational wave detectors such as the Laser Interferometer Space Antenna (LISA). The core of the thesis is devoted to the preprocessing of the interferometric link data for a LISA constellation, specifically developing optimal Kalman filters to reduce arm length noise due to clock noise. The approach is to apply Kalman filters of increasing complexity to make optimal estimates of relevant quantities such as constellation arm length, relative clock drift, and Doppler frequencies based on the available measurement data. Depending on the complexity of the filter and the simulated data, these Kalman filter estimates can provide up to a few orders of magnitude improvement over simpler estimators. While the basic concept of the LISA measurement (Time Delay Interferometry) was worked out some time ago, this work brings a level of rigor to the processing of the constellation-level data products.

The thesis concludes with some topics related to the eLISA such as a new class of phenomenological waveforms for extreme mass-ratio inspiral sources (EMRIs, one of the main source for eLISA), an octahedral space-based GW detector that does not require drag-free test masses, and some efficient template-search algorithms for the case of relatively high SNR signals.

 

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Contents

1 Introduction
1
2 LISA Data Processing Chain
33
3 Applying the Kalman Filter to a Simple Case
41
4 The Interspacecraft Measurements
48
5 Design a Hybrid Extended Kalman Filter for the Entire LISA Constellation
57
6 Alternative Kalman Filter Models
75
7 Broken Laser Links and Robustness
83
8 Optimal Filtering for LISA with Effective System Models
98
9 Clock Noise and Disordered Measurements
111
10 Octahedron Configuration for a Displacement NoiseCanceling Gravitational Wave Detector in Space
139
11 EMRI Data Analysis with a Phenomenological Waveform
175
12 Fast Detection and Automatic Parameter Estimation of a Gravitational Wave Signal with a Novel Method
205
Making Optimization and Parameter Estimation Easier
217
Index
227
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About the author (2015)

Yan Wang received his Ph.D. in 2009 at Albert-Einstein-Institut Hannover (Max-Planck-Institut fuer Gravitationsphysik). Since 11/2014 he has been working as research assistant professor, School of Physics, University of Western Australia. He's the winner of the 2014 Stefano Braccini Thesis Prize awarded by the Gravitational Wave International Committee.


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