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This paper describes a comprehensive measurement model for the error budget of pulse arrival times with emphasis on intrinsic pulse jitterand plasma propagation effects (particularly interstellar scattering), which are stochastic in time…

Instrumentation and Methods for Astrophysics · Physics 2010-10-20 J. M. Cordes , R. M. Shannon

The turbulent nature of the ionised interstellar medium (IISM) causes dispersion measure (DM) and scattering variations in pulsar timing measurements. To improve precision of gravitational wave measurements, pulsar timing array (PTA)…

High Energy Astrophysical Phenomena · Physics 2025-11-06 A. D. Kulkarni , R. M. Shannon , D. J. Reardon , M. T. Miles

The detection of gravitational waves with Pulsar Timing Arrays (PTAs) requires precise measurement of the difference between the pulsars' timing models and their observed pulses, as well as dealing with numerous and sometimes hard to…

High Energy Astrophysical Phenomena · Physics 2025-05-07 Giulia Fumagalli , Golam Shaifullah , Alberto Sesana

Gravitational wave (GW) detection with pulsar timing arrays (PTAs) requires accurate noise characterization. The noise of our Galactic-scale GW detector has been systematically evaluated by the Noise Budget and Interstellar Medium…

Instrumentation and Methods for Astrophysics · Physics 2019-08-15 T. Dolch , S. Chatterjee , J. M. Cordes , P. B. Demorest , J. A. Ellis , M. L. Jones , M. T. Lam , T. J. W. Lazio , L. Levin , M. A. McLaughlin , N. T. Palliyaguru , D. R. Stinebring

Transient noise appearing in the data from gravitational-wave detectors frequently causes problems, such as instability of the detectors and overlapping or mimicking gravitational-wave signals. Because transient noise is considered to be…

The data analysis problem of coherently searching for unmodeled gravitational-wave bursts in the data generated by a global network of gravitational-wave observatories has been at the center of research for almost two decades. As data from…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Antony C. Searle , Patrick J. Sutton , Massimo Tinto

We investigate the use of harmonic analysis techniques to perform measurements of the angular power spectrum on mock pulsar timing data for an isotropic stochastic gravitational-wave background (SGWB) with a dimensionless strain amplitude…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Jonathan Nay , Kimberly K. Boddy , Tristan L. Smith , Chiara M. F. Mingarelli

Extrinsic noise-induced transitions to bimodal dynamics have been largely investigated in a variety of chemical, physical, and biological systems. In the standard approach in physical and chemical systems, the key properties that make these…

Biological Physics · Physics 2020-11-10 Gerardo Aquino , Andrea Rocco

Power-law noises abound in nature and have been observed extensively in both time series and spatially varying environmental parameters. Although, recent years have seen the extension of traditional stochastic partial differential equations…

Computation · Statistics 2014-10-20 Hans-Werner van Wyk , Max Gunzburger , John Burkardt , Miroslav Stoyanov

We introduce a new analysis method to deal with stationary non-Gaussian noises in gravitational wave detectors in terms of the independent component analysis. First, we consider the simplest case where the detector outputs are linear…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Soichiro Morisaki , Jun'ichi Yokoyama , Kazunari Eda , Yousuke Itoh

We show that intermittency of noiselike emission, after propagation through a scattering medium, affects the distribution of noise in the observed correlation function. Intermittency also affects correlation of noise among channels of the…

Astrophysics of Galaxies · Physics 2015-05-27 Carl R. Gwinn , Michael D. Johnson

We compare signal and noise for observations of the scintillating pulsar B0834+06, using very-long baseline interferometry and a single-dish spectrometer. Comparisons between instruments and with models suggest that amplitude variations of…

Astrophysics of Galaxies · Physics 2015-05-27 C. R. Gwinn , M. D. Johnson , T. V. Smirnova , D. R. Stinebring

For pulsar projects it is often necessary to predict the pulse phase in advance, for example, when preparing for new observations. Interpolation of the pulse phase between existing measurements is also often required, for example, when…

Solar and Stellar Astrophysics · Physics 2015-06-04 X. P. Deng , W. Coles , G. Hobbs , M. J. Keith , R. N. Manchester , R. M. Shannon , J. H. Zheng

In this contribution, we propose a detailed study of interpolation-based data-driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer…

Numerical Analysis · Mathematics 2023-01-13 Quirin Aumann , Ion Victor Gosea

Accurate noise estimation from gravitational wave (GW) data is critical for Bayesian inference. However, recent studies on ringdown signal, such as those by Isi et al. [1], Cotesta et al. [2], and Isi and Farr [3], have encountered…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Hai-Tian Wang , Lijing Shao

At nanohertz frequencies gravitational waves (GWs) cause variations in time-of-arrival of pulsar signals potentially measurable via precision timing observations. Here we compute very-low-frequency GW sensitivity constrained by…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Fredrick A. Jenet , J. W. Armstrong , Massimo Tinto

Pulsar timing offers an independent avenue to test general relativity and alternative gravity theories. This requires an understanding of how metric polarizations beyond the familiar transverse tensor ones imprint as a stochastic…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Reginald Christian Bernardo , Kin-Wang Ng

We introduce a signal processing model for signals in non-white noise, where the exact noise spectrum is a priori unknown. The model is based on a Student's t distribution and constitutes a natural generalization of the widely used normal…

Methodology · Statistics 2015-03-13 Christian Röver , Renate Meyer , Nelson Christensen

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng

The increasing sensitivity of gravitational-wave detectors has brought about an increase in the rate of astrophysical signal detections as well as the rate of "glitches"; transient and non-Gaussian detector noise. Temporal overlap of…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Sophie Hourihane , Katerina Chatziioannou , Marcella Wijngaarden , Derek Davis , Tyson Littenberg , Neil Cornish