Matched filter for multi-transducers resonant GW antennas

TL;DR

This paper evaluates matched filtering techniques for data from spherical resonant gravitational wave detectors, proposing a practical strategy for real-world data analysis and suggesting a 5 transducers setup as more effective than the ideal 6 transducers configuration.

Contribution

It introduces a data filtering strategy combining omnidirectional and directional filters for real spherical GW detectors, and advocates for a 5 transducers configuration over the ideal 6 transducers setup.

Findings

The proposed filtering strategy effectively identifies wave signals, directions, and polarizations.

Using 5 transducers simplifies analysis compared to the ideal 6 transducers TIGA sphere.

A practical approach is outlined for real spherical GW detector data processing.

Abstract

We analyze two kinds of matched filters for data output of a spherical resonant GW detector. In order to filter the data of a real sphere, a strategy is proposed, firstly using an omnidirectional in-line filter, which is supposed to select periodograms with excitations, secondly by performing a directional filter on such selected periodograms, finding the wave arrival time, direction and polarization. We point out that, as the analytical simplifications occurring in the ideal 6 transducers TIGA sphere do not hold for a real sphere, using a 5 transducers configuration could be a more convenient choice.