Data analysis of gravitational-wave signals from spinning neutron stars. V. A narrow-band all-sky search

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.022005· OSTI ID:21410088

Astone, Pia ^[1]; Borkowski, Kazimierz M ^[2]; Jaranowski, Piotr; Pietka, Maciej ^[3]; Krolak, Andrzej ^[4]

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1. Istituto Nazionale di Fisica Nucleare, (INFN)-Rome I, 00185 Rome (Italy)
2. Centre for Astronomy, Nicolaus Copernicus University, Gagarina 11, 87-100 Torun (Poland)
3. Faculty of Physics, University of Bialystok, Lipowa 41, 15-424 Bialystok (Poland)
4. Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-950 Warsaw (Poland)

We present theory and algorithms to perform an all-sky coherent search for periodic signals of gravitational waves in narrow-band data of a detector. Our search is based on a statistic, commonly called the F-statistic, derived from the maximum-likelihood principle in Paper I of this series. We briefly review the response of a ground-based detector to the gravitational-wave signal from a rotating neuron star and the derivation of the F-statistic. We present several algorithms to calculate efficiently this statistic. In particular our algorithms are such that one can take advantage of the speed of fast Fourier transform in calculation of the F-statistic. We construct a grid in the parameter space such that the nodes of the grid coincide with the Fourier frequencies. We present interpolation methods that approximately convert the two integrals in the F-statistic into Fourier transforms so that the fast Fourier transform algorithm can be applied in their evaluation. We have implemented our methods and algorithms into computer codes and we present results of the Monte Carlo simulations performed to test these codes.

• OSTI ID: 21410088
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.022005; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
COMPUTERIZED SIMULATION
DATA ANALYSIS
FOURIER TRANSFORMATION
GRAVITATIONAL WAVES
MAXIMUM-LIKELIHOOD FIT
MONTE CARLO METHOD
NEUTRON STARS
PERIODICITY
SPACE
VELOCITY
CALCULATION METHODS
INTEGRAL TRANSFORMATIONS
MATHEMATICAL LOGIC
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
SIMULATION
STARS
TRANSFORMATIONS
VARIATIONS