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In this paper, the Cramer Rao bound (CRB) for range estimation between two underwater nodes is calculated under a Gaussian noise assumption on the measurements. The nodes can measure their depths, their mutual time of flight, and they have…

信息论 · 计算机科学 2014-04-30 Hamid Ramezani , Raj Thilak Rajan , Geert Leus

We investigate the effects of using the {\it full} waveform (FWF) over the conventional {\it restricted} waveform (RWF) of the inspiral signal from a coalescing compact binary (CCB) system in extracting the parameters of the source, using a…

广义相对论与量子宇宙学 · 物理学 2014-12-15 Hideyuki Tagoshi , Chandra Kant Mishra , Archana Pai , K. G. Arun

Folding uncertainty in theoretical models into Bayesian parameter estimation is necessary in order to make reliable inferences. A general means of achieving this is by marginalizing over model uncertainty using a prior distribution…

广义相对论与量子宇宙学 · 物理学 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

Among the most eagerly anticipated opportunities made possible by Advanced LIGO/Virgo are multimessenger observations of compact mergers. Optical counterparts may be short-lived so rapid characterization of gravitational wave (GW) events is…

高能天体物理现象 · 物理学 2016-03-23 Tyson B. Littenberg , Ben Farr , Scott Coughlin , Vicky Kalogera

We assess the detectability of a nanohertz gravitational wave (GW) background with respect to additive red and white noise in the timing of millisecond pulsars. We develop detection criteria based on the cross-correlation function summed…

星系天体物理 · 物理学 2015-05-28 J. M. Cordes , R. M. Shannon

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

Next-generation ground-based gravitational-wave detectors, such as Cosmic Explorer (CE), are expected to be sensitive to gravitational-wave signals with frequencies as low as 5 Hz, allowing signals to spend a significant amount of time in…

高能天体物理现象 · 物理学 2023-08-25 Pratyusava Baral , Soichiro Morisaki , Ignacio Magaña Hernandez , Jolien D. E. Creighton

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

广义相对论与量子宇宙学 · 物理学 2022-08-22 Qian Hu , John Veitch

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

广义相对论与量子宇宙学 · 物理学 2024-07-01 Javier Roulet , Tejaswi Venumadhav

Gravitational waves emitted during compact binary coalescences are a promising source for gravitational-wave detector networks. The accuracy with which the location of the source on the sky can be inferred from gravitational wave data is a…

广义相对论与量子宇宙学 · 物理学 2015-06-17 K. Grover , S. Fairhurst , B. F. Farr , I. Mandel , C. Rodriguez , T. Sidery , A. Vecchio

The gravitational waveform of merging binary neutron stars encodes information about extreme states of matter. Probing these gravitational emissions requires the gravitational-wave detectors to have high sensitivity above 1 kHz. Fortunately…

广义相对论与量子宇宙学 · 物理学 2018-09-12 Haixing Miao , Huan Yang , Denis Martynov

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

广义相对论与量子宇宙学 · 物理学 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Inspiral signals from binary compact objects (black holes and neutron stars) are primary targets of the ongoing searches by ground-based gravitational-wave interferometers (LIGO, Virgo, GEO-600 and TAMA-300). We present parameter-estimation…

The sensitivity of gravitational-wave (GW) detectors is characterized by their noise curves, which determine the detector's reach and ability to measure the parameters of astrophysical sources accurately. The detector noise is typically…

天体物理仪器与方法 · 物理学 2025-03-21 Sumit Kumar , Alexander H. Nitz , Xisco Jiménez Forteza

Observations of gravitational waves from inspiralling compact binaries using laser-interferometric detectors can provide accurate measures of parameters of the source. They can also constrain alternative gravitation theories. We analyse…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Clifford M. Will

The detection rate for compact binary mergers has grown as the sensitivity of the global network of ground based gravitational wave detectors has improved, now reaching the stage where robust automation of the analyses is essential.…

广义相对论与量子宇宙学 · 物理学 2021-06-02 Neil J. Cornish

We present a method of searching for, and parameterizing, signals from known radio pulsars in data from interferometric gravitational wave detectors. This method has been applied to data from the LIGO and GEO 600 detectors to set upper…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Réjean J. Dupuis , Graham Woan

This paper derives a general expression for the Cram\'er-Rao bound (CRB) of wireless localization algorithms using range measurements subject to bias corruption. Specifically, the a priori knowledge about which range measurements are…

信息论 · 计算机科学 2011-11-10 Tao Wang

Next-generation gravitational-wave detectors like the Einstein Telescope and Cosmic Explorer, currently in their preparatory phase, have the potential to significantly improve our understanding of astrophysics, cosmology and fundamental…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Michael Ebersold , Tania Regimbau , Nelson Christensen

Because of the electromagnetic radiation produced during the merger, compact binary coalescences with neutron stars may result in multi-messenger observations. In order to follow up on the gravitational-wave signal with electromagnetic…