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Bayesian inference is used to extract unknown parameters from gravitational wave signals. Detector noise is typically modelled as stationary, although data from the LIGO and Virgo detectors is not stationary. We demonstrate that the…

天体物理仪器与方法 · 物理学 2021-07-13 O Edy , A. Lundgren , L. K. Nuttall

To obtain the most accurate pulse arrival times from radio pulsars, it is necessary to correct or mitigate the effects of the propagation of radio waves through the warm and ionised interstellar medium. We examine both the strength of…

天体物理仪器与方法 · 物理学 2016-11-15 R. M. Shannon , J. M. Cordes

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…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Fredrick A. Jenet , J. W. Armstrong , Massimo Tinto

The "search for extraterrestrial intelligence" (SETI) commensal surveys aim to scan the sky to find possible technosignatures from the extraterrestrial intelligence (ETI). The mitigation of radio frequency interference (RFI) is an important…

天体物理仪器与方法 · 物理学 2023-08-21 Yu-Chen Wang , Zhen-Zhao Tao , Zhi-Song Zhang , Cheqiu Lyu , Tingting Zhang , Tong-Jie Zhang , Dan Werthimer

The sensitivity of pulsar timing arrays to gravitational waves is, at some level, limited by timing noise. Red timing noise - the stochastic wandering of pulse arrival times with a red spectrum - is prevalent in slow-spinning pulsars and…

高能天体物理现象 · 物理学 2015-06-24 Paul D. Lasky , Andrew Melatos , Vikram Ravi , George Hobbs

All-sky and wide parameter space searches for continuous gravitational waves are generally template-matching schemes which test a bank of signal waveforms against data from a gravitational wave detector. Such searches can offer optimal…

天体物理仪器与方法 · 物理学 2019-07-24 Joe Bayley , Graham Woan , Chris Messenger

Parameter estimation of binary-black-hole merger events in gravitational-wave data relies on matched-filtering techniques, which, in turn, depend on accurate model waveforms. Here we characterize the systematic biases introduced in…

广义相对论与量子宇宙学 · 物理学 2013-05-08 Tyson B. Littenberg , John G. Baker , Alessandra Buonanno , Bernard J. Kelly

Radio interferometers are phased arrays producing high-resolution images from the covariance matrix of measurements. Calibration of such instruments is necessary and is a critical task. This is how the estimation of instrumental errors is…

天体物理仪器与方法 · 物理学 2023-09-26 Yassine Mhiri , Mohammed Nabil El Korso , Arnaud Breloy , Pascal Larzabal

The inclusion of aligned-spin effects in gravitational-wave search pipelines for neutron-star--black-hole binary coalescence has been shown to increase the astrophysical reach with respect to search methods where spins are neglected…

广义相对论与量子宇宙学 · 物理学 2015-04-03 Tito Dal Canton , Andrew P. Lundgren , Alex B. Nielsen

The power-spectrum subband energy ratio (PSER) has been applied in a variety of fields, but reports on its statistical properties have been limited. As such, this study investigates these characteristics in the presence of additive Gaussian…

信号处理 · 电气工程与系统科学 2020-11-19 Han Li , Yanzhu Hu , Song Wang , Zhen Meng

Coupled nonlinear systems under certain conditions exhibit phase synchronization, which may change for different frequency bands or with presence of additive system noise. In both cases, Fourier filtering is traditionally used to preprocess…

数据分析、统计与概率 · 物理学 2009-11-11 Limei Xu , Zhi Chen , Kun Hu , H. Eugene Stanley , Plamen Ch. Ivanov

In many signal processing applications it is required to estimate the unobservable state of a dynamic system from its noisy measurements. For linear dynamic systems with Gaussian Mixture (GM) noise distributions, Gaussian Sum Filters (GSF)…

系统与控制 · 计算机科学 2014-05-14 Leila Pishdad , Fabrice Labeau

To successfully detect gravitational waves with pulsar timing arrays, we need to have a comprehensive understanding of the physical origins and statistical characteristics of the noise in pulse arrival times and identify mitigation methods…

天体物理仪器与方法 · 物理学 2015-06-11 Yan Wang

Matched filtering is a long-standing technique for the optimal detection of known signals in stationary Gaussian noise. However, it has known departures from optimality when operating on unknown signals in real noise and suffers from…

广义相对论与量子宇宙学 · 物理学 2025-10-07 Narenraju Nagarajan , Christopher Messenger

The article reviews the statistical theory of signal detection in application to analysis of deterministic gravitational-wave signals in the noise of a detector. Statistical foundations for the theory of signal detection and parameter…

广义相对论与量子宇宙学 · 物理学 2023-11-10 Piotr Jaranowski , Andrzej Królak

Understanding and dealing with inference biases in gravitational-wave (GW) parameter estimation when a plethora of signals are present in the data is one of the key challenges for the analysis of data from future GW detectors. Working…

广义相对论与量子宇宙学 · 物理学 2021-08-25 Andrea Antonelli , Ollie Burke , Jonathan R. Gair

For the purpose of maximum likelihood estimation of static parameters, we apply a kernel smoother to the particles in the standard SIR filter for non-linear state space models with additive Gaussian observation noise. This reduces the Monte…

统计计算 · 统计学 2015-05-07 Tore Selland Kleppe , Hans Julius Skaug

The North American Nanohertz Observatory for Gravitational Waves (NANOGrav) has recently reported strong statistical evidence for a common-spectrum red-noise process for all pulsars, as seen in their 12.5-yr analysis for an isotropic…

广义相对论与量子宇宙学 · 物理学 2021-03-24 Joseph D. Romano , Jeffrey S. Hazboun , Xavier Siemens , Anne M. Archibald

Gravitational wave data from ground-based detectors is dominated by instrument noise. Signals will be comparatively weak, and our understanding of the noise will influence detection confidence and signal characterization. Mis-modeled noise…

广义相对论与量子宇宙学 · 物理学 2015-04-22 Tyson B. Littenberg , Neil J. Cornish