Details
| Original language | English |
|---|---|
| Article number | 102003 |
| Number of pages | 9 |
| Journal | Physical Review D |
| Volume | 105 |
| Issue number | 10 |
| Publication status | Published - 15 May 2022 |
Abstract
When searching for new gravitational-wave or electromagnetic sources, the n signal parameters (masses, sky location, frequencies, etc.) are unknown. In practice, one hunts for signals at a discrete set of points in parameter space, called a template bank. These may be constructed systematically as a lattice or, alternatively, by placing templates at randomly selected points in parameter space. Here, we calculate the fraction of signals lost by an n-dimensional random template bank (compared to a very finely spaced bank). This fraction is compared to the corresponding loss fraction for the best possible lattice-based template banks containing the same number of grid points. For dimensions n<4, the lattice-based template banks significantly outperform the random ones. However, remarkably, for dimensions n>8, the difference is negligible. In high dimensions, random template banks outperform the best known lattices.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D, Vol. 105, No. 10, 102003, 15.05.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Performance of random template banks
AU - Allen, Bruce
PY - 2022/5/15
Y1 - 2022/5/15
N2 - When searching for new gravitational-wave or electromagnetic sources, the n signal parameters (masses, sky location, frequencies, etc.) are unknown. In practice, one hunts for signals at a discrete set of points in parameter space, called a template bank. These may be constructed systematically as a lattice or, alternatively, by placing templates at randomly selected points in parameter space. Here, we calculate the fraction of signals lost by an n-dimensional random template bank (compared to a very finely spaced bank). This fraction is compared to the corresponding loss fraction for the best possible lattice-based template banks containing the same number of grid points. For dimensions n<4, the lattice-based template banks significantly outperform the random ones. However, remarkably, for dimensions n>8, the difference is negligible. In high dimensions, random template banks outperform the best known lattices.
AB - When searching for new gravitational-wave or electromagnetic sources, the n signal parameters (masses, sky location, frequencies, etc.) are unknown. In practice, one hunts for signals at a discrete set of points in parameter space, called a template bank. These may be constructed systematically as a lattice or, alternatively, by placing templates at randomly selected points in parameter space. Here, we calculate the fraction of signals lost by an n-dimensional random template bank (compared to a very finely spaced bank). This fraction is compared to the corresponding loss fraction for the best possible lattice-based template banks containing the same number of grid points. For dimensions n<4, the lattice-based template banks significantly outperform the random ones. However, remarkably, for dimensions n>8, the difference is negligible. In high dimensions, random template banks outperform the best known lattices.
UR - http://www.scopus.com/inward/record.url?scp=85131567610&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.105.102003
DO - 10.1103/PhysRevD.105.102003
M3 - Article
AN - SCOPUS:85131567610
VL - 105
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 10
M1 - 102003
ER -