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Detection of gravitational waves using a network of detectors
General Relativity and Quantum Cosmology · Submitted 16 Jun 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The overall sensitivity of the network is shown to increase roughly as the square-root of the number of detectors in the network.
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The abstract, sentence by sentence
We formulate the data analysis problem for the detection of the Newtonian coalescing-binary signal by a network of laser interferometric gravitational wave detectors that have arbitrary orientations, but are located at the same site. We use the maximum likelihood method for optimizing the detection problem. We show that for networks comprising of up to three detectors, the optimal statistic is essentially the magnitude of the network correlation vector constructed from the matched network-filter. Alternatively, it is simply a linear combination of the signal-to-noise ratios of the individual detectors. This statistic, therefore, can be interpreted as the signal-to-noise ratio of the network. The overall sensitivity of the network is shown to increase roughly as the square-root of the number of detectors in the network. We further show that these results continue to hold even for the restricted post-Newtonian filters. Finally, our formalism is general enough to be extended to address the problem of detection of such waves from other sources by some other types of detectors, e.g., bars or spheres, or even by networks of spatially well-separated detectors.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We formulate the data analysis problem for the detection of the Newtonian coalescing-binary signal by a network of laser interferometric gravitational wave detectors that have arbitrary orientations, but are located at the same site. | contribution 0.78 | 0.85 | 0.05 | asserted 0.91 |
| s1 | We use the maximum likelihood method for optimizing the detection problem. | method 0.99 | 0.86 | 0.03 | asserted 0.97 |
| s2 | We show that for networks comprising of up to three detectors, the optimal statistic is essentially the magnitude of the network correlation vector constructed from the matched network-filter. | result 0.99 | 0.94 | 0.37 | asserted 1.00 |
| s3 | Alternatively, it is simply a linear combination of the signal-to-noise ratios of the individual detectors. | result 0.69 | 0.80 | 0.09 | asserted 0.92 |
| s4 | This statistic, therefore, can be interpreted as the signal-to-noise ratio of the network. | interpretation 1.00 | 0.80 | 0.16 | asserted 0.98 |
| s5 | The overall sensitivity of the network is shown to increase roughly as the square-root of the number of detectors in the network. | result 1.00 | 0.92 | 0.28 | asserted 0.96 |
| s6 | We further show that these results continue to hold even for the restricted post-Newtonian filters. | result 0.95 | 0.92 | 0.07 | asserted 1.00 |
| s7 | Finally, our formalism is general enough to be extended to address the problem of detection of such waves from other sources by some other types of detectors, e.g., bars or spheres, or even by networks of spatially well-separated detectors. | future work 0.84 | 0.55 | 0.10 | asserted 0.74 |
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Original abstract
We formulate the data analysis problem for the detection of the Newtonian coalescing-binary signal by a network of laser interferometric gravitational wave detectors that have arbitrary orientations, but are located at the same site. We use the maximum likelihood method for optimizing the detection problem. We show that for networks comprising of up to three detectors, the optimal statistic is essentially the magnitude of the network correlation vector constructed from the matched network-filter. Alternatively, it is simply a linear combination of the signal-to-noise ratios of the individual detectors. This statistic, therefore, can be interpreted as the signal-to-noise ratio of the network. The overall sensitivity of the network is shown to increase roughly as the square-root of the number of detectors in the network. We further show that these results continue to hold even for the restricted post-Newtonian filters. Finally, our formalism is general enough to be extended to address the problem of detection of such waves from other sources by some other types of detectors, e.g., bars or spheres, or even by networks of spatially well-separated detectors.
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