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      Followup procedure in time-domain F-statistic searches for continuous gravitational waves

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          Abstract

          Potentially interesting gravitational-wave candidates (outliers) from the blind all-sky searches have to be confirmed or rejected by studying their origin and precisely estimating their parameters. We present the design and first results for the followup procedure of the {\tt Polgraw} all-sky search pipeline: a coherent search for almost-monochromatic gravitational-wave signals in several-day long time segments using the \(F\)-statistic method followed by the coincidences between the candidate signals. Approximate parameters resulting in these two initial steps are improved in the final followup step, in which the signals from detectors are studied separately, together with the network combination of them, and the true parameters and signal-to-noise values are established.

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          Data analysis of gravitational-wave signals from spinning neutron stars. I. The signal and its detection

          We present a theoretical background for the data analysis of the gravitational-wave signals from spinning neutron stars for Earth-based laser interferometric detectors. We introduce a detailed model of the signal including both the frequency and the amplitude modulations. We include the effects of the intrinsic frequency changes and the modulation of the frequency at the detector due to the Earth motion. We estimate the effects of the star's proper motion and of relativistic corrections. Moreover we consider a signal consisting of two components corresponding to a frequency \(f\) and twice that frequency. From the maximum likelihood principle we derive the detection statistics for the signal and we calculate the probability density function of the statistics. We obtain the data analysis procedure to detect the signal and to estimate its parameters. We show that for optimal detection of the amplitude modulated signal we need four linear filters instead of one linear filter needed for a constant amplitude signal. Searching for the doubled frequency signal increases further the number of linear filters by a factor of two. We indicate how the fast Fourier transform algorithm and resampling methods commonly proposed in the analysis of periodic signals can be used to calculate the detection statistics for our signal. We find that the probability density function of the detection statistics is determined by one parameter: the optimal signal-to-noise ratio. We study the signal-to-noise ratio by means of the Monte Carlo method for all long-arm interferometers that are currently under construction. We show how our analysis can be extended to perform a joint search for periodic signals by a network of detectors and we perform Monte Carlo study of the signal-to-noise ratio for a network of detectors.
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            Banks of templates for all-sky narrow-band searches of gravitational waves from spinning neutron stars

            We construct efficient banks of templates suitable for all-sky narrow-band searches of almost monochromatic gravitational waves originating from spinning neutron stars in our Galaxy in data collected by interferometric detectors. We consider waves with one spindown parameter included and we assume that both the position of the gravitational-wave source in the sky and the wave's frequency together with spindown parameter are unknown. In the construction we employ simplified model of the signal with constant amplitude and phase which is a linear function of unknown parameters. Our template banks enable usage of the fast Fourier transform algorithm in the computation of the maximum-likelihood \(\mathcal{F}\)-statistic for nodes of the grids defining the bank and fulfill an additional constraint needed to resample the data to barycentric time efficiently. All these template bank features were employed in the recent all-sky \(\mathcal{F}\)-statistic-based search for continuous gravitational waves in Virgo VSR1 data [J.Aasi et al., Classical Quantum Gravity 31, 165014 (2014)]. Here we improve that template bank by constructing templates suitable for larger range of search parameters and of smaller thicknesses for certain values of search parameters. One of our template banks has thickness 12% smaller than the thickness of the template bank used in the all-sky search of Virgo VSR1 data and only 4% larger than the thickness of 4-dimensional optimal lattice covering \(A_4^\star\).
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              Author and article information

              Journal
              04 October 2018
              Article
              1810.02224
              04e0ad34-9c6d-44da-895b-6414a1f142e5

              http://arxiv.org/licenses/nonexclusive-distrib/1.0/

              History
              Custom metadata
              Proceedings of the Polish Astronomical Society, vol. 7, 37-40 (2018)
              4 pages, 4 figures, published in Proceedings of the Polish Astronomical Society, vol. 7, 37-40 (2018)
              astro-ph.IM

              Instrumentation & Methods for astrophysics
              Instrumentation & Methods for astrophysics

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