Inverse problem for networks of laser interferometers
Jaranowski, Piotr
Banach Center Publications, Tome 38 (1997), p. 235-237 / Harvested from The Polish Digital Mathematics Library

Estimation of the parameters of the gravitational-wave signal from a coalescing binary by a network of laser interferometers is considered. A generalization of the solution of the inverse problem found previously for the network of 3 detectors to the network of N detectors is given. Maximum likelihood and least squares estimators are applied to obtain the solution. Accuracy of the estimation of the parameters is assessed from the inverse of the Fisher information matrix. The results of the Monte Carlo simulations are reported. They show that addition of the fourth detector to the network markedly improves performance of the network.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:252221
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     author = {Jaranowski, Piotr},
     title = {Inverse problem for networks of laser interferometers},
     journal = {Banach Center Publications},
     volume = {38},
     year = {1997},
     pages = {235-237},
     zbl = {0960.94011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p235bwm}
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Jaranowski, Piotr. Inverse problem for networks of laser interferometers. Banach Center Publications, Tome 38 (1997) pp. 235-237. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv41z2p235bwm/

[000] [1] B.F. Schutz, Determining the Hubble constant from gravitational wave observations, Nature 323 (1986), 310.

[001] [2] P. Jaranowski and A. Królak, Optimal solution to the inverse problem for the gravitational wave signal of a coalescing compact binary, Phys. Rev. D 49 (1994), 1723.

[002] [3] P. Jaranowski, K. D. Kokkotas, A. Królak and G. Tsegas, On estimation of parameters of the gravitational-wave signal from a coalescing binary by a network of detectors, Clas. Quantum Grav. 13 (1996), 1279. | Zbl 0875.83017

[003] [4] C. Cutler and E. E. Flanagan, Gravitational waves from merging compact binaries: How accurately can one extract the binary's parameters from inspiral waveform, Phys. Rev. D 49 (1994), 2658.

[004] [5] L. S. Finn and D. F. Chernoff, Observing inspiral in gravitational radiation: One interferometer, Phys. Rev. D 47 (1993), 219.