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Using actual flight data from a 50-cm-class microsatellite whose mission and operations have already been completed, this study re-evaluates satellite attitude determination performance and the error characteristics of onboard attitude…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yuji Sakamoto

We propose an attitude and gyro-bias estimation scheme for accelerated rigid body systems using an inertial measurement unit (IMU) and a global positioning system (GPS). The proposed scheme allows to obtain attitude estimates directly on…

Optimization and Control · Mathematics 2017-03-17 Soulaimane Berkane , Abdelhamid Tayebi

We extend methods for finite-sample inference about the average treatment effect (ATE) in randomized experiments with binary outcomes to accommodate stratification (blocking). We present three valid methods that differ in their…

Methodology · Statistics 2025-08-07 Jiaxun Li , Jacob Spertus , Philip B. Stark

Orbit-determination programs find the orbit solution that best fits a set of observations by minimizing the RMS of the residuals of the fit. For near-Earth asteroids, the uncertainty of the orbit solution may be compatible with trajectories…

Earth and Planetary Astrophysics · Physics 2021-08-09 Javier Roa , Davide Farnocchia , Steven R. Chesley

We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An…

Nuclear Theory · Physics 2022-03-25 Fan Si , Yifei Zhang

In order to make a pinpoint landing on the Moon, the spacecraft's navigation system must be accurate. To achieve the desired accuracy, navigational drift caused by the inertial sensors must be corrected. One way to correct this drift is to…

Robotics · Computer Science 2025-02-24 Atakan Süslü , Betül Rana Kuran , Halil Ersin Söken

Estimation of rigid body attitude motion is a long-standing problem of interest in several applications. This problem is challenging primarily because rigid body motion is described by nonlinear dynamics and the state space is nonlinear.…

Optimization and Control · Mathematics 2016-03-16 Maziar Izadi , Sasi Prabhakaran Viswanathan , Amit Kumar Sanyal , Carlos Silvestre , Paulo Oliveira

Spectrum sensing is a fundamental component is a cognitive radio. In this paper, we propose new sensing methods based on the eigenvalues of the covariance matrix of signals received at the secondary users. In particular, two sensing…

Information Theory · Computer Science 2016-09-08 Yonghong Zeng , Ying-Chang Liang

Poyiadjis et al. (2011) show how particle methods can be used to estimate both the score and the observed information matrix for state space models. These methods either suffer from a computational cost that is quadratic in the number of…

Computation · Statistics 2015-09-07 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

Computing eigenvalues of very large matrices is a critical task in many machine learning applications, including the evaluation of log-determinants, the trace of matrix functions, and other important metrics. As datasets continue to grow in…

Machine Learning · Statistics 2025-06-16 Siavash Ameli , Chris van der Heide , Liam Hodgkinson , Michael W. Mahoney

Inertial-sensor-based attitude estimation is a crucial technology in various applications, from human motion tracking to autonomous aerial and ground vehicles. Application scenarios differ in characteristics of the performed motion,…

Machine Learning · Computer Science 2021-11-29 Daniel Weber , Clemens Gühmann , Thomas Seel

Inertial-based navigation refers to the navigation methods or systems that have inertial information or sensors as the core part and integrate a spectrum of other kinds of sensors for enhanced performance. Through a series of papers, the…

Robotics · Computer Science 2023-05-18 Maoran Zhu , Yuanxin Wu

This paper outlines a method for improving the precision of atmospheric neutrino oscillation measurements. One experimental signature for these oscillations is an observed deficit in the rate of $\nu_{\mu}$ charged-current interactions with…

High Energy Physics - Experiment · Physics 2015-06-11 Andrew Blake , John Chapman , Mark Thomson

This paper presents a novel method for attitude estimation of an object in 3D space by incremental learning of the Long-Short Term Memory (LSTM) network. Gyroscope, accelerometer, and magnetometer are few widely used sensors in attitude…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Parag Narkhede , Rahee Walambe , Shashi Poddar , Ketan Kotecha

Peak Estimation aims to find the maximum value of a state function achieved by a dynamical system. This problem is non-convex when considering standard Barrier and Density methods for invariant sets, and has been treated heuristically by…

Systems and Control · Electrical Eng. & Systems 2022-01-10 Jared Miller , Didier Henrion , Mario Sznaier

This paper presents a practical computational approach to quantify the effect of individual observations in estimating the state of a system. Such an analysis can be used for pruning redundant measurements, and for designing future sensor…

Computational Engineering, Finance, and Science · Computer Science 2013-07-22 Alexandru Cioaca , Adrian Sandu , Eric de Sturler

New algorithm for quantum state estimation based on the maximum likelihood estimation is proposed. Existing techniques for state reconstruction based on the inversion of measured data are shown to be overestimated since they do not…

Quantum Physics · Physics 2009-10-30 Zdenek Hradil

The global attitude synchronization problem is studied for networked rigid bodies under directed topologies. To avoid the asynchronous pitfall where only vector parts converge to some identical value but scalar parts do not, multiplicative…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Fan Zhang , Deyuan Meng , Jingyao Zhang

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimation algorithm that globally minimizes the attitude estimation…

Optimization and Control · Mathematics 2007-05-23 Amit K. Sanyal , Taeyoung Lee , Melvin Leok , N. Harris McClamroch

The Bayesian inversion method demonstrates significant potential for solving inverse problems, enabling both point estimation and uncertainty quantification (UQ). However, Bayesian maximum a posteriori (MAP) estimation may become unstable…

Numerical Analysis · Mathematics 2025-06-04 Ruibiao Song , Liying Zhang