Incorporating information from source simulations into searches for gravitational-wave bursts

Abstract

Abstract. The detection of gravitational waves from astrophysical sources of gravitational waves is a realistic goal for the current generation of interferometric gravitational-wave detectors. Short duration bursts of gravitational waves from core-collapse supernovae or mergers of binary black holes may bring a wealth of astronomical and astrophysical information. The weakness of the waves and the rarity of the events urges the development of optimal methods to detect the waves. The waves from these sources are not generally known well enough to use matched filtering however; this drives the need to develop new ways to exploit source simulation information in both detections and information extraction. We present an algorithmic approach to using catalogs of gravitational-wave signals developed through numerical simulation, or otherwise, to enhance our ability to detect these waves. As more detailed simulations become available, it is straightforward to incorporate the new information into the search method. This approach may also be useful when trying to extract information from a gravitational-wave observation by allowing direct comparison between the observation and simulations.

Reduced basis representations of multi-mode black hole ringdown gravitational waves

“…Following [21], in this paper we show that the Reduced arXiv:1109.5642v2 [gr-qc] 18 Mar 2012 Basis (RB) approach provides a dramatically compact representation of multi-mode QNM catalogs. The main two features responsible for such savings are (1) the exponential convergence of the training space representation error (the square of Eq.…”

“…While the (f 220 , Q 220 ) parameter space is a rectangle by construction, the corresponding shape in (M, j) space is a "warped rectangle" and so our stated ranges are not inclusive. Except when otherwise noted, the values and ranges in (17) and (18) are our default throughout the remainder.…”

“…(4)] we have performed Monte Carlo simulations with random, uniform sampling of mass and spin such that the corresponding central frequencies and quality factors are within the ranges of Eq. (18). In addition, instead of selecting waveforms at random, we have used all those from a metricbased catalog with a minimal match of about 0.9999, corresponding to more than 10 5 templates.…”

Reconstruction of source location in a network of gravitational wave interferometric detectors

“…In this paper, we propose a method for estimating the source position using only the arrival time of the gravitational signal in each detector. The event detection is supposed to have been previously done by dedicated algorithms ( [10][11][12][13][14][15][16][17][18][19][20][21][22][23] for bursts, [24][25][26][27][28][29] for coalescing binaries) and is not within the scope of this article.…”

Multivariate regression analysis of gravitational waves from rotating core collapse

“…In previous work, Brady and Ray-Majumdar [8] introduced a Gram-Schmidt method to parametrize rotating core collapse GW signals in terms of small numbers of orthonormal basis vectors encapsulating robust signal features extracted from a catalog of simulated waveforms by Ref. [9].…”