논문
$\mathcal{F}$-statistic all-sky search for continuous gravitational waves in Virgo data
- 저자LIGO Scientific Collaboration and Virgo Collaboration (Sang Hoon Oh, John J. Oh, Edwin J. Son)
- 학술지Classical and quantum gravity 31(16), 165014
- 등재유형
- 게재일자(2014)
We present an implementation of the $\mathcal{F}$-statistic to carry out the first search in data from the Virgo laser interferometric gravitational wave detector for periodic gravitational waves from {\em a priori} unknown, isolated rotating neutron stars. We searched a frequency $f_0$ range from 100\,Hz to 1\,kHz and the frequency dependent spindown $f_1$ range from $-1.6\,(f_0/100\,{\rm Hz}) \times 10^{-9}\,$\,Hz/s to zero. A large part of this frequency - spindown space was unexplored by any of the all-sky searches published so far. Our method consisted of a coherent search over two-day periods using the $\mathcal{F}$-statistic, followed by a search for coincidences among the candidates from the two-day segments. We have introduced a number of novel techniques and algorithms that allow the use of the Fast Fourier Transform (FFT) algorithm in the coherent part of the search resulting in a fifty-fold speed-up in computation of the $\mathcal{F}$-statistic with respect to the algorithm used in the other pipelines. No significant gravitational wave signal was found. The sensitivity of the search was estimated by injecting signals into the data. In the most sensitive parts of the detector band more than 90\% of signals would have been detected with dimensionless gravitational-wave amplitude greater than $5 \times 10^{-24}$.
We present an implementation of the $\mathcal{F}$-statistic to carry out the first search in data from the Virgo laser interferometric gravitational wave detector for periodic gravitational waves from {\em a priori} unknown, isolated rotating neutron stars. We searched a frequency $f_0$ range from 100\,Hz to 1\,kHz and the frequency dependent spindown $f_1$ range from $-1.6\,(f_0/100\,{\rm Hz}) \times 10^{-9}\,$\,Hz/s to zero. A large part of this frequency - spindown space was unexplored by any of the all-sky searches published so far. Our method consisted of a coherent search over two-day periods using the $\mathcal{F}$-statistic, followed by a search for coincidences among the candidates from the two-day segments. We have introduced a number of novel techniques and algorithms that allow the use of the Fast Fourier Transform (FFT) algorithm in the coherent part of the search resulting in a fifty-fold speed-up in computation of the $\mathcal{F}$-statistic with respect to the algorithm used in the other pipelines. No significant gravitational wave signal was found. The sensitivity of the search was estimated by injecting signals into the data. In the most sensitive parts of the detector band more than 90\% of signals would have been detected with dimensionless gravitational-wave amplitude greater than $5 \times 10^{-24}$.
