Neil J Cornish and Edward K Porter 2005 Class. Quantum Grav. 22 S927 doi:10.1088/0264-9381/22/18/S06
Neil J Cornish and Edward K Porter
Show affiliationsOne of the main sources of gravitational waves for the LISA space-borne interferometer is galactic binary systems. The waveforms for these sources are represented by eight parameters of which four are intrinsic and four are extrinsic to the system. Geometrically, these signals exist in an 8D parameter space. By calculating the metric tensor on this space, we calculate the number of templates needed to search for such sources. We show in this study that below a particular monochromatic frequency of f0 ~ 1.6 × 10−3 Hz we can ignore one of the intrinsic parameters and search over a 7D space. Beyond this frequency, we have a change in dimensionality of the parameter space from 7 to 8 dimensions. This sudden change in dimensionality results in a change in the scaling of template number as a function of the monochromatic frequency from ~f1.250 to ~f5.880.
04.80.Nn Gravitational wave detectors and experiments
97.80.-d Binary and multiple stars
04.30.Db Wave generation and sources
98.58.-w Interstellar medium (ISM) and nebulae in external galaxies
Issue 18 (21 September 2005)
Received 1 April 2005, in final form 26 May 2005
Published 23 August 2005
Neil J Cornish and Edward K Porter 2005 Class. Quantum Grav. 22 S927
P J Dimbylow 2002 Phys. Med. Biol. 47 2835
A Sengupta 1984 J. Phys. A: Math. Gen. 17 2743
Hisatomo Harima and Katsuhiko Takegahara 2003 J. Phys.: Condens. Matter 15 S2081
Song Ge et al 2009 Phys. Med. Biol. 54 N177
Asel Sartbaeva et al 2004 J. Phys.: Condens. Matter 16 5267
T P Flanagan 1957 J. Sci. Instrum. 34 450
D D Bhawalkar et al 1967 Br. J. Appl. Phys. 18 1431
C W Gardiner and M J Davis 2003 J. Phys. B: At. Mol. Opt. Phys. 36 4731
Achim Kempf and Paulo J S G Ferreira 2004 J. Phys. A: Math. Gen. 37 12067