856 research outputs found
Directed searches for continuous gravitational waves from binary systems: parameter-space metrics and optimal Scorpius X-1 sensitivity
We derive simple analytic expressions for the (coherent and semi-coherent)
phase metrics of continuous-wave sources in low-eccentricity binary systems,
both for the long-segment and short- segment regimes (compared to the orbital
period). The resulting expressions correct and extend previous results found in
the literature. We present results of extensive Monte-Carlo studies comparing
metric mismatch predictions against the measured loss of detection statistic
for binary parameter offsets. The agreement is generally found to be within ~
10%-30%. As an application of the metric template expressions, we estimate the
optimal achievable sensitivity of an Einstein@Home directed search for Scorpius
X-1, under the assumption of sufficiently small spin wandering. We find that
such a search, using data from the upcoming advanced detectors, would be able
to beat the torque- balance level [1,2] up to a frequency of ~ 500 - 600 Hz, if
orbital eccentricity is well-constrained, and up to a frequency of ~ 160 - 200
Hz for more conservative assumptions about the uncertainty on orbital
eccentricity.Comment: 25 pages, 8 figure
Fully coherent follow-up of continuous gravitational-wave candidates: an application to Einstein@Home results
We characterize and present the details of the follow-up method used on the
most significant outliers of the Hough Einstein@Home all-sky search for
continuous gravitational waves arXiv:1207.7176. This follow-up method is based
on the two-stage approach introduced in arXiv:1303.2471, consisting of a
semicoherent refinement followed by a fully coherent zoom. We quantify the
efficiency of the follow-up pipeline using simulated signals in Gaussian noise.
This pipeline does not search beyond first-order frequency spindown, and
therefore we also evaluate its robustness against second-order spindown. We
present the details of the Hough Einstein@Home follow-up (arXiv:1207.7176) on
three hardware-injected signals and on the 8 most significant outliers of
unknown origin.Comment: 8 pages, 3 figures, 3 table
Antenna pattern of DUAL detectors of gravitational waves and its exploitation in a network of advanced interferometers
We investigate the directional sensitivity to plane gravitational waves (GWs) of DUAL detectors of cylindrical shape. Calculations make use of the finite element method to simulate the responses to the GW Riemann tensor of a single-mass DUAL (SMD) and of a tapered cylinder (TC) in their wide sensitivity bandwidth. We show that one SMD or a pair of TCs is able to cover both GW polarization amplitudes from almost all incoming directions. We discuss the achievable enhancement in tackling the inverse problem for high frequency [~(2–5) kHz] GWs by adding a TC detector to the future advanced LIGO–VIRGO network
Symmetrized fractional total variation for signal and image analysis
We introduce and study a variational model for signal and image analysis based on
Riemann–Liouville fractional derivatives. Both the one-dimensional and
two-dimensional cases are studied. The model exploits a quadratic fitting data term
together with both right and left Riemann–Liouville fractional derivatives as
regularizing terms, with the aim of achieving an orientation-independent analysis
Bilateral Riemann-Liouville Fractional Sobolev spaces
We establish some notation and properties of the bilateral Riemann-Liouville fractional derivative We introduce the associated Sobolev spaces of fractional order , denoted by , and the Bounded Variation spaces of fractional order , denoted by : these spaces are studied with the aim of providing a suitable functional framework for fractional variational models in image analysis
Riemann–Liouville Fractional Sobolev and Bounded Variation Spaces
none2noWe establish some properties of the bilateral Riemann–Liouville fractional derivative . We set the notation, and study the associated Sobolev spaces of fractional order s, denoted by , and the fractional bounded variation spaces of fractional order s, denoted by . Examples, embeddings and compactness properties related to these spaces are addressed, aiming to set a functional framework suitable for fractional variational models for image analysis.openAntonio Leaci; Franco TomarelliLeaci, Antonio; Tomarelli, Franc
Novel directed search strategy to detect continuous gravitational waves from neutron stars in low- and high-eccentricity binary systems
We describe a novel, very fast and robust, directed search incoherent method
for periodic gravitational waves (GWs) from neutron stars in binary systems. As
directed search, we assume the source sky position to be known with enough
accuracy, but all other parameters are supposed to be unknown. We exploit the
frequency-modulation due to source orbital motion to unveil the signal
signature by commencing from a collection of time and frequency peaks. We
validate our pipeline adding 131 artificial continuous GW signals from pulsars
in binary systems to simulated detector Gaussian noise, characterized by a
power spectral density Sh = 4x10^-24 Hz^-1/2 in the frequency interval [70,
200] Hz, which is overall commensurate with the advanced detector design
sensitivities. The pipeline detected 128 signals, and the weakest signal
injected and detected has a GW strain amplitude of ~10^-24, assuming one month
of gapless data collected by a single advanced detector. We also provide
sensitivity estimations, which show that, for a single- detector data covering
one month of observation time, depending on the source orbital Doppler
modulation, we can detect signals with an amplitude of ~7x10^-25. By using
three detectors, and one year of data, we would easily gain more than a factor
3 in sensitivity, translating into being able to detect weaker signals. We also
discuss the parameter estimate proficiency of our method, as well as
computational budget, which is extremely cheap. In fact, sifting one month of
single-detector data and 131 Hz-wide frequency range takes roughly 2.4 CPU
hours. Due to the high computational speed, the current procedure can be
readily applied in ally-sky schemes, sieving in parallel as many sky positions
as permitted by the available computational power
Minimization of the buckling load of a clamped plate with perimeter constraint
We look for minimizers of the buckling load problem with perimeter constraint
in any dimension. In dimension 2, we show that the minimizing plates are
convex; in higher dimension, by passing through a weaker formulation of the
problem, we show that any optimal set is open and connected. For higher
eigenvalues, we prove that minimizers exist among convex sets with prescribed
perimeter
An improved algorithm for narrow-band searches of continuous gravitational waves
Continuous gravitational waves signals, emitted by asymmetric spinning
neutron stars, are among the main targets of current detectors like Advanced
LIGO and Virgo. In the case of sources, like pulsars, which rotational
parameters are measured through electromagnetic observations, typical searches
assume that the gravitational wave frequency is at a given known fixed ratio
with respect to the star rotational frequency. For instance, for a neutron star
rotating around one of its principal axis of inertia the gravitational signal
frequency would be exactly two times the rotational frequency of the star. It
is possible, however, that this assumption is wrong. This is why search
algorithms able to take into account a possible small mismatch between the
gravitational waves frequency and the frequency inferred from electromagnetic
observations have been developed. In this paper we present an improved pipeline
to perform such narrow-band searches for continuous gravitational waves from
neutron stars, about three orders of magnitude faster than previous
implementations. The algorithm that we have developed is based on the {\it
5-vectors} framework and is able to perform a fully coherent search over a
frequency band of width (Hertz) and for hundreds of spin-down
values running a few hours on a standard workstation. This new algorithm opens
the possibility of long coherence time searches for objects which rotational
parameters are highly uncertain.Comment: 19 pages, 8 figures, 6 tables, submitted to CQ
A new data analysis framework for the search of continuous gravitational wave signals
Continuous gravitational wave signals, like those expected by asymmetric
spinning neutron stars, are among the most promising targets for LIGO and Virgo
detectors. The development of fast and robust data analysis methods is crucial
to increase the chances of a detection. We have developed a new and flexible
general data analysis framework for the search of this kind of signals, which
allows to reduce the computational cost of the analysis by about two orders of
magnitude with respect to current procedures. This can correspond, at fixed
computing cost, to a sensitivity gain of up to 10%-20%, depending on the search
parameter space. Some possible applications are discussed, with a particular
focus on a directed search for sources in the Galactic center. Validation
through the injection of artificial signals in the data of Advanced LIGO first
observational science run is also shown.Comment: 21 pages, 8 figure
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