The fast matched filter for gravitational-wave data analysis: Characteristics and applications

Astone, P. and Buttiglione, C. and Frasca, S. and Pallottino, G.V. and Pizzella, G. (1997) The fast matched filter for gravitational-wave data analysis: Characteristics and applications. Il nuovo cimento C, 20 C (1). pp. 9-60. ISSN 1826-9885

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Abstract

We report on the application of a matched filter to the data of two-mode resonant gravitational-wave antennas for the detection of burst signals, with reference to data obtained by direct acquisition, i.e. without going through lock-in amplifiers, sampled at relatively high speed. After a review of the basic model of resonant detectors, that includes a discussion of the signal and of the noise, we present a detailed mathematical derivation of the optimum filter matched to an input burst. We then analyze and discuss the performance of the matched filter as regards both the improvement of the signal-to-noise ratio and the observation bandwidth, also considering the adaptive realization of the filter, based on the actual spectrum of the noise as estimated from the data. The discussion that follows is centered on various aspects concerning the practical application of the matched filter as well as the loss of performance due both to uncertainties on the parameters used for building the filter and to various discretization effects, both in the time and frequency domains. Finally, we consider some experimental results obtained by applying the matched filter to the data of the Explorer detector, also providing a comparison with what we obtained by applying an optimum filter to data processed by lock-in amplifiers, sampled at lower speed.

Item Type: Article
Uncontrolled Keywords: Experimental studies of gravity
Subjects: 500 Scienze naturali e Matematica > 500.5 Scienze spaziali
500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 09 May 2017 08:46
Last Modified: 09 May 2017 08:46
URI: http://eprints.bice.rm.cnr.it/id/eprint/11974

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