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The core of every orbit determination process is the comparison between the measured observables and their predicted values, computed using the adopted mathematical models, and the minimization, in a least square sense, of their…

Instrumentation and Methods for Astrophysics · Physics 2019-08-22 Marco Zannoni , Paolo Tortora

An accurate delay and Doppler estimation method for a radar system using time and frequency-shifted pulses with pseudo-random numbers is proposed. The ambiguity function of the transmitted signal has a strong peak at the origin and is close…

Information Theory · Computer Science 2023-12-11 Yutaka Jitsumatsu

In pulsed Doppler radars, the classic Chinese remainder theorem (CCRT) is a common method to resolve Doppler ambiguities caused by fast-moving targets. Another issue concerning high-velocity targets is related to the loss in the…

In the field of deep learning based computer vision, the development of deep object detection has led to unique paradigms (e.g., two-stage or set-based) and architectures (e.g., Faster-RCNN or DETR) which enable outstanding performance on…

Computer Vision and Pattern Recognition · Computer Science 2022-10-07 Denis Huseljic , Marek Herde , Mehmet Muejde , Bernhard Sick

In this paper, the general radar measurement probfilems of determining range, Doppler frequency and scatteringproperties parameters are investigated from the viewpoint of Shannons information theory. We adopt the mutual information to…

Signal Processing · Electrical Eng. & Systems 2020-11-02 Chao Shi , Dazhuan Xu , Ying Zhou , Weilin Tu

A new method for the line-of-sight velocity estimation of a high-speed near-Earth object (asteroid, meteorite) is suggested. The method is based on use of fractional, one-half order derivative of a Doppler signal. The algorithm suggested is…

Earth and Planetary Astrophysics · Physics 2015-06-17 V. D. Zakharchenko , I. G. Kovalenko

The problem of radar detection in compound Gaussian clutter when a radar signature is not completely known has not been considered yet and is addressed in this paper. We proposed a robust technique to detect, based on the generalized…

Signal Processing · Electrical Eng. & Systems 2017-10-10 Mai P. T. Nguyen , I. Song

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

While building up a catalog of Earth orbiting objects, if the available optical observations are sparse, not deliberate follow ups of specific objects, no orbit determination is possible without previous correlation of observations obtained…

Space Physics · Physics 2015-05-20 A. Milani , G. Tommei , D. Farnocchia , A. Rossi , T. Schildknecht , R. Jehn

Radar odometry estimation has emerged as a critical technique in the field of autonomous navigation, providing robust and reliable motion estimation under various environmental conditions. Despite its potential, the complex nature of radar…

Robotics · Computer Science 2024-04-08 Matteo Frosi , Mirko Usuelli , Matteo Matteucci

Accurate relative orbit determination is a significant challenge in modern space operations, particularly when relying only on angular measurements. The inherent observability limitations of this approach make initial state estimation…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Kui Xie , Giovanni Romagnoli , Giordana Bucchioni , Alberto Bemporad

We present a novel approach for the detection of events in systems of ordinary differential equations. The new method combines the unique features of Taylor integrators with state-of-the-art polynomial root finding techniques to yield a…

Earth and Planetary Astrophysics · Physics 2022-06-30 Francesco Biscani , Dario Izzo

Autonomous systems often employ multiple LiDARs to leverage the integrated advantages, enhancing perception and robustness. The most critical prerequisite under this setting is the estimating the extrinsic between each LiDAR, i.e.,…

This paper deals with adaptive radar detection of a subspace signal competing with two sources of interference. The former is Gaussian with unknown covariance matrix and accounts for the joint presence of clutter plus thermal noise. The…

Applications · Statistics 2016-04-20 Antonio De Maio , Danilo Orlando

This paper explores the problem of analytically approximating the orbital state for a subset of orbits in a rotating potential with oblateness and ellipticity perturbations. This is done by isolating approximate differential equations for…

Earth and Planetary Astrophysics · Physics 2022-02-02 Ethan Burnett , Hanspeter Schaub

Methods used in the radial-velocity program of short-period binary systems at the David Dunlap Observatory are described with particular stress on the Broadening Function (BF) formalism. This formalism has permitted determination of radial…

Astrophysics · Physics 2009-11-07 S. M. Rucinski

This paper presents a self-supervised framework for learning to detect robust keypoints for odometry estimation and metric localisation in radar. By embedding a differentiable point-based motion estimator inside our architecture, we learn…

Computer Vision and Pattern Recognition · Computer Science 2020-02-25 Dan Barnes , Ingmar Posner

In this work, we propose an alternating low-rank decomposition (ALRD) approach and novel subspace algorithms for direction-of-arrival (DOA) estimation. In the ALRD scheme, the decomposition matrix for rank reduction is composed of a set of…

Information Theory · Computer Science 2016-04-18 Yunlong Cai , Linzheng Qiu , Rodrigo C. de Lamare , Minjian Zhao

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss [15]. Based on the concept of observers (also called Luenberger observers), this…

Numerical Analysis · Mathematics 2010-08-30 Ghislain Haine , Karim Ramdani

An alternative numerical method is developed to find stable and unstable periodic orbits of nonlinear dynamical systems. The method exploits the high-efficiency of the Levenberg-Marquardt algorithm for medium-sized problems and has the…

Chaotic Dynamics · Physics 2014-11-17 W. Dednam , A. E. Botha
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