Abstract

We present an improved method of targeting continuous gravitational-wave signals in data from the LIGO and Virgo detectors with a higher efficiency than the time-domain Bayesian pipeline used in many previous searches. Our spectral interpolation algorithm, SplInter, removes the intrinsic phase evolution of the signal from source rotation and relative detector motion. We do this in the frequency domain and generate a time series containing only variations in the signal due to the antenna pattern. Although less flexible than the classic heterodyne approach, SplInter allows for rapid analysis of putative signals from isolated (and some binary) pulsars, and efficient follow-up searches for candidate signals generated by other search methods. The computational saving over the heterodyne approach can be many orders of magnitude, up to a factor of around fifty thousand in some cases, with a minimal impact on overall sensitivity for most targets.

Highlights

  • Rotating neutron stars are promising sources of long-lived gravitational-wave signals and one of the key science targets of the LIGO and Virgo Scientific Collaborations [1]

  • We present an efficient method for down-sampling gravitational wave data and removing the effects of detector motion with respect to the source based on fast fourier transform (FFT)

  • The second outlier removal step takes place after initial estimates of Bk and σk have been made and is shown in figure 1. By this stage we have an estimate of the noise in the frequency domain, σF, so we identify S( f ) data points with residual values above a threshold factor of this standard deviation

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Summary

Introduction

Rotating neutron stars are promising sources of long-lived gravitational-wave signals and one of the key science targets of the LIGO and Virgo Scientific Collaborations [1]. Known radio and x-ray pulsars comprise an important class of potential gravitational-wave source and three analysis pipelines have been developed to exploit the known rotational phase evo­ lution of these targets [3,4,5]. These targeted pipelines are fully-coherent over arbitrary lengths of time, tracking the predicted gravitational signal based on electromagnetic observations. Where r is the original sample rate and ∆t is the down-sampled period

Formulation in the frequency domain
The form of the signal in a short transform
The spectral interpolation algorithm
Bk and σk calculation
Outlier removal
Testing the SplInter algorithm
Accuracy and testing
Speed testing
Findings
Discussion
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