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Noise in various interferometer systems can sometimes couple non-linearly to create excess noise in the gravitational wave (GW) strain data. Third-order statistics, such as bicoherence and biphase, can identify these couplings and help…

General Relativity and Quantum Cosmology · Physics 2024-07-29 Bernard Hall , Sudhagar Suyamprakasam , Nairwita Mazumder , Anupreeta More , Sukanta Bose

We present a Bayesian algorithm to combine optical imaging of unresolved objects from distinct epochs and observation platforms for orbit determination and tracking. By propagating the non-Gaussian uncertainties we are able to optimally…

Instrumentation and Methods for Astrophysics · Physics 2016-09-26 Michael D. Schneider , William A. Dawson

At the highest levels of pulsar timing precision achieved to date, experiments are limited by noise intrinsic to the pulsar. This stochastic wideband impulse modulated self-noise (SWIMS) limits pulsar timing precision by randomly biasing…

Instrumentation and Methods for Astrophysics · Physics 2013-01-23 Stefan Osłowski , Willem van Straten , Paul Demorest , Matthew Bailes

In this paper, we study the information theoretic performance of the modified time-reversal maximum ratio combining (TR-MRC) receiver (presented in [9]) with the spatially averaged periodogram-based carrier frequency offset (CFO) estimator…

Information Theory · Computer Science 2016-11-16 Sudarshan Mukherjee , Saif Khan Mohammed

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

Astrophysics · Physics 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

Scoring rules are aimed at evaluation of the quality of predictions, but can also be used for estimation of parameters in statistical models. We propose estimating parameters of multivariate spatial models by maximising the average…

Methodology · Statistics 2024-08-23 Helga Kristin Olafsdottir , Holger Rootzén , David Bolin

In this report, a novel variation of Particle Swarm Optimization (PSO) algorithm, called Multiagent Coordination Optimization (MCO), is implemented in a parallel computing way for practical use by introducing MATLAB built-in function…

Optimization and Control · Mathematics 2014-12-02 Qing Hui , Haopeng Zhang

Causal inference necessarily relies upon untestable assumptions; hence, it is crucial to assess the robustness of obtained results to violations of identification assumptions. However, such sensitivity analysis is only occasionally…

Methodology · Statistics 2025-05-19 Tobias Freidling , Qingyuan Zhao

Obtaining the set of cosmological parameters consistent with observational data is an important exercise in current cosmological research. It involves finding the global maximum of the likelihood function in the multi-dimensional parameter…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-03 Jayanti Prasad , Tarun Souradeep

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

Information Theory · Computer Science 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

A distributed integrated sensing and communication (D-ISAC) system offers significant cooperative gains for both sensing and communication performance. These gains, however, can only be fully realized when the distributed nodes are…

Signal Processing · Electrical Eng. & Systems 2025-03-13 Kawon Han , Kaitao Meng , Christos Masouros

A new approach to the problem of gravitational waves detection based on simultaneous timing of several pulsars and subsequent expansion of the post-fit timing data into components of different spectral kind (with different spectral indices)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Alexander E. Rodin

By regularly monitoring the most stable millisecond pulsars over many years, pulsar timing arrays (PTAs) are positioned to detect and study correlations in the timing behaviour of those pulsars. Gravitational waves (GWs) from supermassive…

We present two methods for determining the significance of a stochastic gravitational-wave (GW) background affecting a pulsar-timing array, where detection is based on evidence for quadrupolar spatial correlations between pulsars. Rather…

Instrumentation and Methods for Astrophysics · Physics 2017-02-13 S. R. Taylor , L. Lentati , S. Babak , P. Brem , J. R. Gair , A. Sesana , A. Vecchio

Multi-replicA decoding using corRelation baSed LocALisAtion (MARSALA) is a recent random access technique designed for satellite return links. It follows the multiple transmission and interference cancellation scheme of Contention…

Information Theory · Computer Science 2016-04-20 Karine Zidane , Jérome Lacan , Mathieu Gineste , Caroline Bes , Arnaud Deramecourt , Mathieu Dervin

Optical interferometers provide multiple wavelength measurements. In order to fully exploit the spectral and spatial resolution of these instruments, new algorithms for image reconstruction have to be developed. Early attempts to deal with…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Éric Thiébaut , Ferréol Soulez , Loïc Denis

The search for Galactic binary gravitational waves is a critical challenge for future space-based gravitational wave detectors, such as LISA. We propose an innovative approach to simultaneously explore gravitational waves originating from…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Pin Gao , Xilong Fan , Zhoujian Cao

Pulsar timing arrays (PTAs) perform Bayesian posterior inference with expensive MCMC methods. Given a dataset of ~10-100 pulsars and O(10^3) timing residuals each, producing a posterior distribution for the stochastic gravitational wave…

Instrumentation and Methods for Astrophysics · Physics 2023-10-20 David Shih , Marat Freytsis , Stephen R. Taylor , Jeff A. Dror , Nolan Smyth

In order to maximize the sensitivity of pulsar timing arrays to a stochastic gravitational wave background, we present computational techniques to optimize observing schedules. The techniques are applicable to both single and…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 K. J. Lee , C. G. Bassa , R. Karuppusamy , M. Kramer , R. Smits , B. W. Stappers

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng
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