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Pulsar timing, i.e. the analysis of the arrival times of pulses from a pulsar, is a powerful tool in modern astrophysics. It allows us to measure the time delays of an electromagnetic signal caused by a number of physical processes as the…

Instrumentation and Methods for Astrophysics · Physics 2025-02-04 Konstantin A. Postnov , Nataliya K. Porayko , Maxim S. Pshirkov

Satellite dynamics and tracking remain important challenges in the context of space exploration and communication systems. Accurate state estimation is essential to maintain reliable orbital motion and system performance. This paper…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Moh Kamalul Wafi

Recent progress in gravitational wave observations has positioned Pulsar Timing Arrays as a key tool for detecting the stochastic gravitational wave background in the nanohertz band. It is widely believed that this background is primarily…

High Energy Astrophysical Phenomena · Physics 2026-05-20 Hinano Hisamatsu , Koutarou Kyutoku

Recent pulsar timing array results, including the NANOGrav 15-year data set, show evidence for a stochastic gravitational-wave background (GWB) in the nanohertz band. We present a Bayesian framework to compare three possible origins: (i) a…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-28 Mengshen Wang , Zuocheng Zhang , Hua Xu

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…

General Relativity and Quantum Cosmology · Physics 2017-06-28 S. Mastrogiovanni , P. Astone , S. D'Antonio , S. Frasca , G. Intini , P. Leaci , A. Miller , C. Palomba , O. J. Piccinni , A. Singhal

The nanohertz frequency band explored by pulsar timing arrays provides a unique discovery space for gravitational wave signals. In addition to signals from anticipated sources, such as those from supermassive black hole binaries, some…

General Relativity and Quantum Cosmology · Physics 2021-04-16 Bence Bécsy , Neil J. Cornish

The International Pulsar Timing Array project combines observations of pulsars from both Northern and Southern hemisphere observatories with the main aim of detecting ultra-low frequency (~10^-9 to 10^-8 Hz) gravitational waves. Here we…

Gravitational wave background results from the superposition of gravitational waves generated from all sources across the Universe. Previous efforts on detecting such a background with pulsar timing arrays assume it is an isotropic Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Xihao Deng

Pulsar timing arrays (PTAs) provide a way to detect gravitational waves at nanohertz frequencies. In this band, the most likely signals are stochastic, with a power spectrum that rises steeply at lower frequencies. Indeed, the observation…

Instrumentation and Methods for Astrophysics · Physics 2023-06-02 Bruce Allen , Sanjeev Dhurandhar , Yashwant Gupta , Maura McLaughlin , Priyamvada Natarajan , Ryan M. Shannon , Eric Thrane , Alberto Vecchio

Gravitational wave astronomy is just beginning, after the recent success of the four direct detections of binary black hole (BBH) mergers, the first observation from a binary neutron star inspiral and with the expectation of many more…

Instrumentation and Methods for Astrophysics · Physics 2018-01-23 I. Di Palma , M. Drago

Pulsar timing now has a rich history in placing limits on the stochastic background of gravitational waves, and we plan soon to reach the sensitivity where we can detect, not just place limits on, the stochastic background. However, the…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Andrea N. Lommen

Gravitational wave astronomy using a pulsar timing array requires high-quality millisecond pulsars, correctable interstellar propagation delays, and high-precision measurements of pulse times of arrival. Here we identify noise in timing…

Pulsar timing arrays (PTAs) are essential tools for detecting the stochastic gravitational wave background (SGWB), but their analysis faces significant computational challenges. Traditional methods like Markov-chain Monte Carlo (MCMC)…

Instrumentation and Methods for Astrophysics · Physics 2024-12-30 Bo Liang , Chang Liu , Tianyu Zhao , Minghui Du , Manjia Liang , Ruijun Shi , Hong Guo , Yuxiang Xu , Li-e Qiang , Peng Xu , Wei-Liang Qian , Ziren Luo

The signal of continuous gravitational waves has a longer duration than the observation period. Even if the waveform in the source frame is monochromatic, we will observe the waveform with modulated frequencies due to the motion of the…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Takahiro S. Yamamoto , Takahiro Tanaka

Direct detection of gravitational waves by pulsar timing arrays will become feasible over the next few years. In the low frequency regime ($10^{-7}$ Hz -- $10^{-9}$ Hz), we expect that a superposition of gravitational waves from many…

Instrumentation and Methods for Astrophysics · Physics 2015-06-15 Justin Ellis , Xavier Siemens , Rutger van Haasteren

Pulsar-timing arrays (PTAs) are seeking gravitational waves from supermassive-black-hole binaries, and there are prospects to complement these searches with stellar-astrometry measurements. Theorists still disagree, however, as to whether…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-19 Selim C. Hotinli , Marc Kamionkowski , Andrew H. Jaffe

Efficient searches for gravitational waves from compact binary coalescence are crucial for gravitational wave observations. We present a proof-of-concept for a method that utilizes a neural network taking an SNR map, a stack of SNR time…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Takahiro S. Yamamoto , Kipp Cannon , Hayato Motohashi , Hiroaki W. H. Tahara

The maximum frequency of gravitational waves (GWs) detectable with traditional pulsar timing methods is set by the Nyquist frequency ($f_{\rm{Ny}}$) of the observation. Beyond this frequency, GWs leave no temporal-correlated signals;…

Instrumentation and Methods for Astrophysics · Physics 2016-05-17 S. -X Yi , S. -N. Zhang

Decade-long timing observations of arrays of millisecond pulsars have placed highly constraining upper limits on the amplitude of the nanohertz gravitational-wave stochastic signal from the mergers of supermassive black-hole binaries ($\sim…

Instrumentation and Methods for Astrophysics · Physics 2016-03-09 S. R. Taylor , M. Vallisneri , J. A. Ellis , C. M. F. Mingarelli , T. J. W. Lazio , R. van Haasteren

This paper introduces two new algorithms to accurately estimate the process noise covariance of a discrete-time Kalman filter online for robust orbit determination in the presence of dynamics model uncertainties. Common orbit determination…

Signal Processing · Electrical Eng. & Systems 2021-05-17 Nathan Stacey , Simone D'Amico