R P Croce et al 2003 Class. Quantum Grav. 20 S803 doi:10.1088/0264-9381/20/17/323
R P Croce1, Th Demma1, M Longo2, S Marano2, V Matta2, V Pierro1 and I M Pinto1
Show affiliationsThe cumulative distribution of the supremum of a set (bank) of correlators is investigated in the context of maximum likelihood detection of gravitational wave chirps from coalescing binaries with unknown parameters. Accurate (lower-bound) approximants are introduced based on a suitable generalization of previous results by Mohanty. Asymptotic properties (in the limit where the number of correlators goes to infinity) are highlighted. The validity of numerical simulations made on small-size banks is extended to banks of any size, via a Gaussian correlation inequality.
04.80.Nn Gravitational wave detectors and experiments
97.80.Af Astrometric and interferometric binaries
Issue 17 (7 September 2003)
Received 29 May 2003
Published 18 August 2003
R P Croce et al 2003 Class. Quantum Grav. 20 S803
M A Slifkin and W A Amarasiri 1981 J. Phys. E: Sci. Instrum. 14 425
Long-Wei Yin et al 2003 J. Phys.: Condens. Matter 15 309
R Hackl et al 1986 J. Phys. F: Met. Phys. 16 1299
M E Dieckmann et al 2006 New J. Phys. 8 225
R Hackl et al 1983 J. Phys. C: Solid State Phys. 16 1729
Bernard E Richardson 1990 Phys. Educ. 25 35
K Buschow 1979 Rep. Prog. Phys. 42 1373
P S Krstic et al 2007 New J. Phys. 9 209
Koon O Lim et al 1980 Phys. Med. Biol. 25 727