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Non-data-aided (NDA) parameter estimation is considered for binary-phase-shift-keying transmission in an additive white Gaussian noise channel. Cramer-Rao lower bounds (CRLBs) for signal amplitude, noise variance, channel reliability…

信息论 · 计算机科学 2007-07-13 Fredrik Brannstrom , Lars K. Rasmussen

We introduce an algorithm to marginalize the likelihood for a gravitational wave signal from a quasi-circular binary merger over its extrinsic parameters, accounting for the effects of higher harmonics and spin-induced precession. The…

广义相对论与量子宇宙学 · 物理学 2024-08-06 Javier Roulet , Jonathan Mushkin , Digvijay Wadekar , Tejaswi Venumadhav , Barak Zackay , Matias Zaldarriaga

Gravitational lensing of gravitational waves (GWs) provides a unique opportunity to study cosmology and astrophysics at multiple scales. Detecting microlensing signatures, in particular, requires efficient parameter estimation methods due…

广义相对论与量子宇宙学 · 物理学 2025-05-02 Roberto Bada-Nerin , Oleg Bulashenko , Osvaldo Gramaxo Freitas , José A. Font

We study parameter estimation with post-Newtonian (PN) gravitational waveforms for the quasi-circular, adiabatic inspiral of spinning binary compact objects. The performance of amplitude-corrected waveforms is compared with that of the more…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Chris Van Den Broeck , Anand S. Sengupta

During the fifth science run of the Laser Interferometer Gravitational-wave Observatory (LIGO), signals modelling the gravitational waves emitted by coalescing non-spinning compact-object binaries were injected into the LIGO data stream. We…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Marc van der Sluys , Ilya Mandel , Vivien Raymond , Vicky Kalogera , Christian Roever , Nelson Christensen

We study the effect of non-quadrupolar modes in the detection and parameter estimation of gravitational waves (GWs) from non-spinning black-hole binaries. We evaluate the loss of signal-to-noise ratio and the systematic errors in the…

广义相对论与量子宇宙学 · 物理学 2014-12-10 Vijay Varma , Parameswaran Ajith , Sascha Husa , Juan Calderon Bustillo , Mark Hannam , Michael Puerrer

A data-analysis strategy based on the maximum-likelihood method (MLM) is presented for the detection of gravitational waves from inspiraling compact binaries with a network of laser-interferometric detectors having arbitrary orientations…

广义相对论与量子宇宙学 · 物理学 2009-12-31 Archana Pai , Sanjeev Dhurandhar , Sukanta Bose

We introduce a technique to enhance the reliability of gravitational wave parameter estimation results produced by machine learning. We develop two independent machine learning models based on the Vision Transformer to estimate effective…

天体物理仪器与方法 · 物理学 2025-10-15 Hibiki Iwanaga , Mahoro Matsuyama , Yousuke Itoh

We present a Bayesian approach to the problem of determining parameters for coalescing binary systems observed with laser interferometric detectors. By applying a Markov Chain Monte Carlo (MCMC) algorithm, specifically the Gibbs sampler, we…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Nelson Christensen , Renate Meyer

Next-generation gravitational wave detectors such as the Einstein Telescope and Cosmic Explorer will have increased sensitivity and observing volumes, enabling unprecedented precision in parameter estimation. However, this enhanced…

广义相对论与量子宇宙学 · 物理学 2024-05-16 Veome Kapil , Luca Reali , Roberto Cotesta , Emanuele Berti

The increasing sensitivity of current and upcoming gravitational-wave (GW) detectors poses stringent requirements on the accuracy of the GW models used for data analysis. If these requirements are not met, systematic errors could dominate…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Lorenzo Pompili , Alessandra Buonanno , Michael Pürrer

Gravitational-wave (GW) observations of binary black-hole (BBH) coalescences are expected to address outstanding questions in astrophysics, cosmology, and fundamental physics. Realizing the full discovery potential of upcoming…

This paper deals with nonparametric maximum likelihood estimation for Gaussian locally stationary processes. Our nonparametric MLE is constructed by minimizing a frequency domain likelihood over a class of functions. The asymptotic behavior…

统计理论 · 数学 2011-11-10 Rainer Dahlhaus , Wolfgang Polonik

Gravitational wave observations of binary black hole mergers probe their astrophysical origins via the binary spin, namely the spin magnitudes and directions of each component black hole, together described by six degrees of freedom.…

广义相对论与量子宇宙学 · 物理学 2024-05-15 Simona J. Miller , Zoe Ko , Thomas A. Callister , Katerina Chatziioannou

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

广义相对论与量子宇宙学 · 物理学 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

The paper deals with issues pertaining the detection of gravitational waves from coalescing binaries. We introduce the application of differential geometry to the problem of optimal detection of the `chirp signal'. We have also carried out…

广义相对论与量子宇宙学 · 物理学 2014-11-17 R. Balasubramanian , B. S. Sathyaprakash , S. V. Dhurandhar

Simulation-based inference provides a powerful framework for Bayesian inference when the likelihood is analytically intractable or computationally prohibitive. By leveraging machine-learning techniques and neural density estimators, it…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Mattia Emma , Gregory Ashton

Gravitational wave astronomy has tremendous potential for studying extreme astrophysical phenomena and exploring fundamental physics. The waves produced by binary black hole mergers will provide a pristine environment in which to study…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Neil Cornish , Laura Sampson , Nico Yunes , Frans Pretorius

We study maximum likelihood estimation (MLE) in the generalized group orbit recovery model, where each observation is generated by applying a random group action and a known, fixed linear operator to an unknown signal, followed by additive…

统计理论 · 数学 2025-09-30 Sheng Xu , Anderson Ye Zhang , Amit Singer

Mixed linear regression (MLR) model is among the most exemplary statistical tools for modeling non-linear distributions using a mixture of linear models. When the additive noise in MLR model is Gaussian, Expectation-Maximization (EM)…

机器学习 · 统计学 2021-05-14 Babak Barazandeh , Ali Ghafelebashi , Meisam Razaviyayn , Ram Sriharsha