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Gravitational WavesVolume 1: Theory and Experiments$
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Michele Maggiore

Print publication date: 2007

Print ISBN-13: 9780198570745

Published to Oxford Scholarship Online: January 2008

DOI: 10.1093/acprof:oso/9780198570745.001.0001

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7 Data analysis techniques

7 Data analysis techniques

Chapter:
(p.335) 7 Data analysis techniques
Source:
Gravitational Waves
Author(s):

Michele Maggiore

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198570745.003.0007

This chapter deals with experimental aspects of gravitational waves. It defines spectral strain sensitivity, describes the detector's noise and the pattern functions that encode its angular sensitivity, and discusses various data analysis techniques for GWs. It also introduces the theory of matched filtering. A proper interpretation of the results obtained with matched filtering relies on notions of probability and statistics. These are discussed together with an introduction to the frequentist and the Bayesian frameworks. The reconstruction of the source parameters is discussed, and the general theory is then applied to different classes of signals, namely, bursts, periodic sources, coalescing binaries, and stochastic background.

Keywords:   data analysis, matched filtering, Wiener filters, frequentist probability, Bayesian probability, Hough transform, stochastic backgrounds, coalescing binaries

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