# Inverse problem for networks of laser interferometers

Banach Center Publications (1997)

- Volume: 41, Issue: 2, page 235-237
- ISSN: 0137-6934

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topJaranowski, Piotr. "Inverse problem for networks of laser interferometers." Banach Center Publications 41.2 (1997): 235-237. <http://eudml.org/doc/252221>.

@article{Jaranowski1997,

abstract = {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.},

author = {Jaranowski, Piotr},

journal = {Banach Center Publications},

keywords = {maximum likelihood; gravitational-wave signal; coalescing binary; network of laser interferometers; inverse problem; least squares estimators; Monte Carlo simulations},

language = {eng},

number = {2},

pages = {235-237},

title = {Inverse problem for networks of laser interferometers},

url = {http://eudml.org/doc/252221},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Jaranowski, Piotr

TI - Inverse problem for networks of laser interferometers

JO - Banach Center Publications

PY - 1997

VL - 41

IS - 2

SP - 235

EP - 237

AB - 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.

LA - eng

KW - maximum likelihood; gravitational-wave signal; coalescing binary; network of laser interferometers; inverse problem; least squares estimators; Monte Carlo simulations

UR - http://eudml.org/doc/252221

ER -

## References

top- [1] B.F. Schutz, Determining the Hubble constant from gravitational wave observations, Nature 323 (1986), 310.
- [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.
- [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. Zbl0875.83017
- [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.
- [5] L. S. Finn and D. F. Chernoff, Observing inspiral in gravitational radiation: One interferometer, Phys. Rev. D 47 (1993), 219.

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