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1997 | 41 | 2 | 221-233
Tytuł artykułu

Gravitational waves from coalescing binaries: a hierarchical signal detection strategy

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The detection of gravitational waves from coalescing compact binaries would be a computationally intensive process if a single bank of template waveforms (i.e., a one step search) is used. We present, in this paper, an alternative method which is a hierarchical search strategy involving two template banks. We show that the computational power required by such a two step search, for an on-line detection of the one parameter family of Newtonian signals, is 1/8 of that required when an on-line one step search is used. This reduction is achieved when signals having a strength of ~8.8 times the noise r.m.s. value are required to be detected with a probability of ~0.95 while allowing for not more than one false event per year on the average. We present approximate formulae for the detection probability of a signal and the false alarm probability. Our numerical results are specific to the noise power spectral density expected for the initial LIGO.
Słowa kluczowe
Rocznik
Tom
41
Numer
2
Strony
221-233
Opis fizyczny
Daty
wydano
1997
Twórcy
  • Inter-University Centre for Astronomy and Astrophysics, Post bag 4, Ganeshkhind, Pune-7, India
  • Inter-University Centre for Astronomy and Astrophysics, Post bag 4, Ganeshkhind, Pune-7, India
Bibliografia
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  • [3] K.S. Thorne, in 300 Years of Gravitation, S.W. Hawking and W.Israel (eds.), (Cambridge Univ. Press, 1987).
  • [4] B.F. Schutz, in The Detection of Gravitational Radiation, edited by D. Blair (Cambridge, 1989) pp 406-427.
  • [5] Helstrom C.W. Helstrom, Statistical Theory of Signal Detection, 2nd. ed, (Pergamon Press, London, 1968).
  • [6] B.S. Sathyaprakash and S.V. Dhurandhar, Phys. Rev. D 44, 3819 (1991).
  • [7] S.V. Dhurandhar and B.S. Sathyaprakash, Phys. Rev. D 49, 1707 (1994).
  • [8] B. Owen, submitted to Phys. Rev. D (Caltech preprint).
  • [9] T. A. Apostolatos, submitted to Phys. Rev. D (Preprint : Max-Planck, Jena).
  • [10] Workshop on Coalescing Binaries, Conf. on Astrophysical Sources of Gravitational waves, Pennsylvania State University (July 1995).
  • [11] J. P. A. Clarke and D. M. Eardley, Astrophys. J. 215, 311, (1977).
  • [12] L.S. Finn and D.F. Chernoff, Phys. Rev. D 47, 2198 (1993).
  • [13] Press, Flannery, Teukolsky, Vetterling, Numerical Recipes (Cambridge Univ. Press, 1986).
  • [14] C. Cutler and E. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
  • [15] O. E. Brigham, Fast Fourier transform and its applications, (Prentice-Hall, Englewood Cliffs, 1988).
  • [16] R. N. Bracewell, Fourier transform and its applications, 2nd ed. (McGraw-Hill, New York, 1986).
  • [17] J. W. Goodman, Statistical Optics, (John Wiley, New York, 1985).
  • [18] B. F. Schutz and M. Tinto, Mon. Not. R. Astron. Soc. 224, 131 (1987).
  • [19] S. V. Dhurandhar and M. Tinto, Mon. Not. R. Astron. Soc. 234, 663 (1988).
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-bcpv41z2p221bwm
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