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The increasing sensitivities of pulsar timing arrays to ultra-low frequency (nHz) gravitational waves promises to achieve direct gravitational wave detection within the next 5-10 years. While there are many parallel efforts being made in…

High Energy Astrophysical Phenomena · Physics 2015-05-27 C. Messenger , A. Lommen , P. Demorest , S. Ransom

We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cram\'er-Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of…

Optics · Physics 2013-10-31 Shan Zheng Ang , Glen I. Harris , Warwick P. Bowen , Mankei Tsang

I describe a framework for adaptive scientific exploration based on iterating an Observation--Inference--Design cycle that allows adjustment of hypotheses and observing protocols in response to the results of observation on-the-fly, as data…

Astrophysics · Physics 2009-11-10 Thomas J. Loredo

The Laser Interferometer Space Antenna will be the first Gravitational Wave observatory in space. It is scheduled to fly in the early 2030's. LISA design predicts sensitivity levels that enable the detection a Stochastic Gravitational Wave…

Instrumentation and Methods for Astrophysics · Physics 2020-12-02 Nikolaos Karnesis , Marc Lilley , Antoine Petiteau

Multi-sensor state space models underpin fusion applications in networks of sensors. Estimation of latent parameters in these models has the potential to provide highly desirable capabilities such as network self-calibration. Conventional…

Systems and Control · Computer Science 2018-01-04 Murat Uney , Bernard Mulgrew , Daniel E Clark

We report on electrostatic measurements made on board the European Space Agency mission LISA Pathfinder. Detailed measurements of the charge-induced electrostatic forces exerted on free-falling test masses (TMs) inside the capacitive…

The problem is target motion analysis (TMA), where the objective is to estimate the state of a moving target from noise corrupted bearings-only measurements. The focus is on recursive TMA, traditionally solved using the Bayesian filters…

Computational Engineering, Finance, and Science · Computer Science 2018-06-04 Branko Ristic , Jeremie Houssineau , Sanjeev Arulampalam

Future detectors such as LISA promise signal-to-noise ratios potentially in the thousands and data containing simultaneous signals. Accurate numerical relativity waveforms will be essential to maximize the science return. A question of…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Deborah Ferguson , Karan Jani , Pablo Laguna , Deirdre Shoemaker

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…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Christopher J. Moore , Christopher P. L. Berry , Alvin J. K. Chua , Jonathan R. Gair

This paper evaluates the performance of algorithms suitable to process the measurements from two laser beam metrology systems, in particular with reference to the Gaia Basic Angle Monitoring device. The system and signal characteristics are…

Instrumentation and Methods for Astrophysics · Physics 2014-08-05 Mario Gai , Alberto Riva , Deborah Busonero , Raffaella Buzzi , Federico Russo

We present an in-depth analysis of the LISA Pathfinder differential acceleration performance over the entire course of its science operations, spanning approximately 500 days. We find that: 1) the evolution of the Brownian noise that…

Identifying and calibrating quantitative dynamical models for physical quantum systems is important for a variety of applications. Here we present a closed-loop Bayesian learning algorithm for estimating multiple unknown parameters in a…

The sensitivity of LISA depends on the suppression of several noise sources; dominant one is laser frequency noise. It has been shown that the six Doppler data streams obtained from three space-crafts can be appropriately time delayed and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Pai , K. Rajesh Nayak , S. V. Dhurandhar , J-Y. Vinet

The LISA mission will likely be a signal dominated detector, such that one challenge is the separation of the different astrophysical sources, and to distinguish between them and the instrumental noise. One of the goals of LISA is to probe…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Martina Muratore , Daniele Vetrugno , Stefano Vitale , Olaf Hartwig

The problem of estimating the parameters of a moving target in multiple-input multiple-output (MIMO) radar is considered and a new approach for estimating the moving target parameters by making use of the phase information associated with…

Information Theory · Computer Science 2015-06-04 Aboulnasr Hassanien , Sergiy A. Vorobyov , Alex B. Gershman

The OSE (Offline Simulations Environment) simulator of the LPF (LISA Pathfinder) mission is intended to simulate the different experiments to be carried out in flight. Amongst these, the thermal diagnostics experiments are intended to…

Bayesian analysis is a framework for parameter estimation that applies even in uncertainty regimes where the commonly used local (frequentist) analysis based on the Cram\'er-Rao bound is not well defined. In particular, it applies when no…

Quantum Physics · Physics 2021-03-17 Simon Morelli , Ayaka Usui , Elizabeth Agudelo , Nicolai Friis

Laser Interferometer Space Antenna (LISA) will routinely observe coalescences of supermassive black hole (BH) binaries up to very high redshifts. LISA can measure mass parameters of such coalescences to a relative accuracy of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K G Arun

Pulsar timing arrays' hint for a stochastic gravitational-wave background (SGWB) leverages the expectations of a future detection in the millihertz band, particularly with the LISA space mission. However, finding an SGWB with a single…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Nikolaos Karnesis , Quentin Baghi , Jean-Baptiste Bayle , Nikiforos Galanis