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We use recent population synthesis results to investigate the distribution of pulsars in the frequency space, having a gravitational strain high enough to be detected by the future generations of laser beam interferometers. We find that…

Astrophysics · Physics 2008-11-26 Tania Regimbau , Jose Antonio de Freitas Pacheco

A low frequency stochastic background of gravitational waves may be detected by pulsar timing experiments in the next five to ten years. Using methods developed to analyze interferometric gravitational wave data, in this paper we lay out…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Melissa Anholm , Stefan Ballmer , Jolien D. E. Creighton , Larry R. Price , Xavier Siemens

We consider the problem of obtaining information about an inaccessible half-space from acoustic measurements made in the accessible half-space. If the measurements are of limited precision, some scatterers will be undetectable because their…

Analysis of PDEs · Mathematics 2007-05-23 Margaret Cheney , David Isaacson , Matti Lassas

The use of a high precision pulsar timing array is a promising approach to detecting gravitational waves in the very low frequency regime ($10^{-6} -10^{-9}$ Hz) that is complementary to the ground-based efforts (e.g., LIGO, Virgo) at high…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

We research adaptive maximum likelihood-type estimation for an ergodic diffusion process where the observation is contaminated by noise. This methodology leads to the asymptotic independence of the estimators for the variance of observation…

Statistics Theory · Mathematics 2017-12-05 Shogo H. Nakakita , Masayuki Uchida

Pulsar timing array experiments search for phenomena that produce angular correlations in the arrival times of signals from millisecond pulsars. The primary goal is to detect an isotropic and stochastic gravitational wave background. We use…

Instrumentation and Methods for Astrophysics · Physics 2015-12-16 Caterina Tiburzi , George Hobbs , Matthew Kerr , William Coles , Shi Dai , Richard Manchester , Andrea Possenti , Ryan Shannon , Xiaopeng You

We present a principal component analysis method which tracks and compensates for short-timescale variability in pulsar profiles, with a goal of improving pulsar timing precision. We couple this with a fast likelihood technique for…

Instrumentation and Methods for Astrophysics · Physics 2017-12-13 Hsiu-Hsien Lin , Kiyoshi Masui , Ue-Li Pen , Jeffrey B. Peterson

We present a time-frequency method to detect gravitational wave signals in interferometric data. This robust method can detect signals from poorly modeled and unmodeled sources. We evaluate the method on simulated data containing noise and…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Warren G. Anderson , R. Balasubramanian

The most common way of estimating the anomalous diffusion exponent from single-particle trajectories consists in a linear fitting of the dependence of the time averaged mean square displacement on the lag time at the log-log scale. However,…

Data Analysis, Statistics and Probability · Physics 2019-01-02 Yann Lanoiselée , Denis S. Grebenkov , Grzegorz Sikora , Aleksandra Grzesiek , Agnieszka Wyłomańska

When modelling time series, it is common to decompose observed variation into a "signal" process, the process of interest, and "noise", representing nuisance factors that obfuscate the signal. To separate signal from noise, assumptions must…

Methodology · Statistics 2020-11-11 Richard Creswell , Ben Lambert , Chon Lok Lei , Martin Robinson , David Gavaghan

Pulsar detection and timing experiments are applications where adaptive filters seem eminently suitable tools for radio-frequency-interference (RFI) mitigation. We describe a novel variant which works well in field trials of pulsar…

Astrophysics · Physics 2015-06-24 M. Kesteven , G. Hobbs , R. Clement , B. Dawson , R. Manchester , T. Uppal

Pulsar searches are computationally demanding efforts to discover dispersed periodic signals in time- and frequency-resolved data from radio telescopes. The complexity and computational expense of simultaneously determining the…

Instrumentation and Methods for Astrophysics · Physics 2021-07-14 Lars Künkel , Rajat M. Thomas , Joris P. W. Verbiest

The arterial pulse wave, which propagates along the artery, is an important indicator of various cardiovascular diseases. By measuring the displacement at multiple parts of the human body, pulse wave velocity can be estimated from the pulse…

Signal Processing · Electrical Eng. & Systems 2020-09-28 Takuya Sakamoto

Pulsars are known to display short-term variability. Recently, examples of longer-term emission variability have emerged that are often correlated with changes in the rotational properties of the pulsar. To further illuminate this…

High Energy Astrophysical Phenomena · Physics 2016-01-27 P. R. Brook , A. Karastergiou , S. Johnston , M. Kerr , R. M. Shannon , S. J. Roberts

The response of the Advanced LIGO interferometers is known to vary with time [arXiv:1608.05134]. Accurate calibration of the interferometers must therefore track and compensate for temporal variations in calibration model parameters. These…

Instrumentation and Methods for Astrophysics · Physics 2023-01-11 Madeline Wade , Aaron D. Viets , Theresa Chmiel , Madeline Stover , Leslie Wade

A method is described for the detection and estimation of transient chirp signals that are characterized by smoothly evolving, but otherwise unmodeled, amplitude envelopes and instantaneous frequencies. Such signals are particularly…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Soumya D. Mohanty

Dispersion in the interstellar medium is a well known phenomenon that follows a simple relationship, which has been used to predict the time delay of dispersed radio pulses since the late 1960s. We performed wide-band simultaneous…

Continuous nanohertz gravitational waves from individual supermassive black hole binaries may be detectable with pulsar timing arrays. A novel search strategy is developed, wherein intrinsic achromatic spin wandering is tracked…

At the highest levels of pulsar timing precision achieved to date, experiments are limited by noise intrinsic to the pulsar. This stochastic wideband impulse modulated self-noise (SWIMS) limits pulsar timing precision by randomly biasing…

Instrumentation and Methods for Astrophysics · Physics 2013-01-23 Stefan Osłowski , Willem van Straten , Paul Demorest , Matthew Bailes

Pulsar timing is used for a variety of applications including tests of fundamental physics, probing the structure of neutron stars, and detecting nanohertz gravitational waves. Development of robust methods and generation of high-quality…