Optimal filtering of the LISA data

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 2, 2004, Pages

  Królak, Andrzej ^a,b   Tinto, Massimo ^a,c   Vallisneri, Michele ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b INSTITUTE OF MATHEMATICS   (Poland)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ANTENNA; ARTICLE; FILTRATION; FREQUENCY ANALYSIS; GRAVITY; INTERFEROMETRY; LASER INTERFEROMETER SPACE ANTENNA; MODEL; PROBABILITY; SIMULATION; STRAIN DIFFERENCE; WAVEFORM;

EID: 42749107869     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.022003     Document Type: Article

References (41)

1. W.M. Folkner, F. Hechler, T.H. Sweetser, M.A. Vincent, and P.L. Bender, Class. Quantum Grav. 14, 1543 (1997).
2. J.W. Armstrong, F.B. Estabrook, and M. Tinto, Astrophys. J. 527, 814 (1999).
3. F.B. Estabrook, M. Tinto, and J.W. Armstrong, Phys. Rev. D 62, 042002 (2000).
4. M. Tinto, F.B. Estabrook, and J.W. Armstrong, Phys. Rev. D 65, 082003 (2002).
5. M. Tinto, J.W. Armstrong, and F.B. Estabrook, Phys. Rev. D 63, 021101 (2001).
6. S.V. Dhurandhar, K.R. Nayak, and J.-Y. Vinet, Phys. Rev. D 65, 102002 (2002).
7. D.A. Shaddock, Phys. Rev. D 69, 022001 (2004).
8. N.J. Cornish and R.W. Hellings, Class. Quantum Grav. 20, 4851 (2003).
9. D.A. Shaddock, M. Tinto, F.B. Estabrook, and J.W. Armstrong, Phys. Rev. D 68, 061303 (2003).
10. M. Tinto, F.B. Estabrook, and J.W. Armstrong, Phys. Rev. D 69, 082001 (2004).
11. N.J. Cornish and S.L. Larson, Class. Quantum Grav. 20, S163 (2003).
12. R.W Hellings, Class. Quantum Grav. 20, 1019 (2003).
13. N.J. Cornish and S.L. Larson, Phys. Rev. D 67, 103001 (2003).
14. N.J. Cornish, gr-qc/0312042.
15. P. Jaranowski, A. Królak, and B.F. Schutz, Phys. Rev. D 58, 063001 (1998).
16. G. Giampieri, Mon. Not. R. Astron. Soc. 289, 185 (1997).
17. C. Cutler, Phys. Rev. D 57, 7089 (1998).
18. N. Seto, Phys. Rev. D 66, 122001 (2002); 69, 022002 (2004).
19. N. Seto, Phys. Rev. D 66, 122001 (2002); 69, 022002 (2004).
20. N.J. Cornish and L.J. Rubbo, Phys. Rev. D 67, 022001 (2003); 67, 029905 (2003). See also the LISA Simulator, http://www.physics.montana.edu/lisa.
21. N.J. Cornish and L.J. Rubbo, Phys. Rev. D 67, 022001 (2003); 67, 029905 (2003). See also the LISA Simulator, http://www.physics.montana.edu/lisa.
22. N.J. Cornish and L.J. Rubbo, Phys. Rev. D 67, 022001 (2003); 67, 029905 (2003). See also the LISA Simulator, http://www.physics.montana.edu/lisa.
23. L.J. Rubbo, N.J. Cornish, and O. Poujade, Phys. Rev. D 69, 082003 (2004).
24. T.A. Prince, M. Tinto, S.L. Larson, and J.W. Armstrong, Phys. Rev. D 66, 122002 (2002).
25. P. Jaranowski and A. Królak, Phys. Rev. D 61, 062001 (2000).
26. P. L. Bender, K. Danzmann, and the LISA Study Team, "Laser Interferometer Space Antenna for the Detection of Gravitational Waves, Pré-Phase A Report," doc. MPQ 233, Max-Planck-Institüt für Quantenoptik, Garching, 1998.
27. L. Blanchet, Living Rev. Relativ. 5, 3 (2002).
28. G. Nelemans, L.R. Yungelson, and S.F. Portegies-Zwart, Astron. Astrophys. 375, 890 (2001).
29. R. Takahashi and N. Seto, Astrophys. J. 575, 1030 (2002).
30. 3 = L.
31. C. W. Helström, Statistical Theory of Signal Detection, 2nd ed. (Pergamon Press, London, 1968).
32. 2 distribution.
33. R. Adler, The Geometry of Random Fields (Wiley, New York, 1981).
34. μν as the metric on the space of intrinsic parameters. In the context of GW data analysis (of signals from coalescing binaries), this idea appeared in R. Balasubramanian, B.S. Sathyaprakash, and S.V. Dhurandhar, Phys. Rev. D 53, 3033 (1996); B.J. Owen, ibid. 53, 6749 (1996); B.J. Owen and B.S. Sathyaprakash, ibid. 60, 022002 (1999).
35. μν as the metric on the space of intrinsic parameters. In the context of GW data analysis (of signals from coalescing binaries), this idea appeared in R. Balasubramanian, B.S. Sathyaprakash, and S.V. Dhurandhar, Phys. Rev. D 53, 3033 (1996); B.J. Owen, ibid. 53, 6749 (1996); B.J. Owen and B.S. Sathyaprakash, ibid. 60, 022002 (1999).
36. μν as the metric on the space of intrinsic parameters. In the context of GW data analysis (of signals from coalescing binaries), this idea appeared in R. Balasubramanian, B.S. Sathyaprakash, and S.V. Dhurandhar, Phys. Rev. D 53, 3033 (1996); B.J. Owen, ibid. 53, 6749 (1996); B.J. Owen and B.S. Sathyaprakash, ibid. 60, 022002 (1999).
37. P. Astone, K.M. Borkowski, P. Jaranowski, and A. Królak, Phys. Rev. D 65, 042003 (2002).
38. J.C. Lagarias, J.A. Reeds, M.H. Wright, and P.E. Wright, SIAM J. Optim. 9, 112 (1998).
39. The straightforward subtraction procedure used to remove the first source would be inadequate if more than a few sources of comparable strength were present in the signal: in that case, the interference caused by the additional sources would skew the accuracy of parameter estimation in a such a way that source-by-source subtraction would fail to converge. In the GCLEAN procedure proposed in Ref. [13], subtraction proceeds iteratively by removing only a small fraction of the current brightest source before evaluating the parameters of the next brightest source.
40. C. Meyer, Matrix Analysis and Applied Linear Algebra (SIAM, Philadelphia, 2000), pp. 123 (block-matrix inverse) and 550 (Rayleigh principle).
41. Y. Pan, A. Buonanno, Y. Chen, and M. Vallisneri, Phys. Rev. D 69, 104017 (2004).