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In this paper we revisit the well-known constrained projection approximation subspace tracking algorithm (CPAST) and derive, for the first time, non-asymptotic error bounds. Furthermore, we introduce a novel sparse modification of CPAST…

Methodology · Statistics 2018-11-27 Denis Belomestny , Ekaterina Krymova

The estimation of direction of arrival (DOA) is a crucial issue in conventional radar, wireless communication, and integrated sensing and communication (ISAC) systems. However, low-cost systems often suffer from imperfect factors, such as…

Signal Processing · Electrical Eng. & Systems 2024-03-21 Peng Chen , Zhimin Chen , Liang Liu , Yun Chen , Xianbin Wang

Deep learning-based direction-of-arrival (DoA) estimation has gained increasing popularity. A popular family of DoA estimation algorithms is beamforming methods, which operate by constructing a spatial filter that is applied to array…

Computational Engineering, Finance, and Science · Computer Science 2025-12-25 Xuyao Deng , Yong Dou , Kele Xu

The inverse electromagnetic source scattering problem from multi-frequency sparse electric far field patterns is considered. The underlying source is a combination of electric dipoles and magnetic dipoles. We show that the locations and the…

Analysis of PDEs · Mathematics 2021-09-15 Jialei Li , Xiaodong Liu

Single-snapshot direction-of-arrival (DOA) estimation using sparse linear arrays (SLAs) has gained significant attention in the field of automotive MIMO radars. This is due to the dynamic nature of automotive settings, where multiple…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Yunqiao Hu , Shunqiao Sun

We present a novel learning-based approach to estimate the direction-of-arrival (DOA) of a sound source using a convolutional recurrent neural network (CRNN) trained via regression on synthetic data and Cartesian labels. We also describe an…

Sound · Computer Science 2020-02-11 Zhenyu Tang , John D. Kanu , Kevin Hogan , Dinesh Manocha

Optimal path planning requires finding a series of feasible states from the starting point to the goal to optimize objectives. Popular path planning algorithms, such as Effort Informed Trees (EIT*), employ effort heuristics to guide the…

We address the problem of search-free direction of arrival (DOA) estimation for sensor arrays of arbitrary geometry under the challenging conditions of a single snapshot and coherent sources. We extend a method of searchfree…

Signal Processing · Electrical Eng. & Systems 2018-12-05 A. Govinda Raj , J. H. McClellan

In this work we develop clustering techniques for the Bearing Only Target Localization (BOTL) problem. Our scenario has a receiver move along some path, generating bearing estimates on some interval. Multiple emitting targets exist in the…

Signal Processing · Electrical Eng. & Systems 2021-10-11 William W. Howard , R. Michael Buehrer

A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core relies on the well-established SINDy algorithm for the sparse…

Numerical Analysis · Mathematics 2025-08-06 Dimitri Breda , Dajana Conte , Raffaele D'Ambrosio , Ida Santaniello , Muhammad Tanveer

This paper proposes an original approach to cluster multi-component data sets, including an estimation of the number of clusters. From the construction of a minimal spanning tree with Prim's algorithm, and the assumption that the vertices…

Machine Learning · Statistics 2009-09-25 Laurent Galluccio , Olivier J. J. Michel , Pierre Comon , Eric Slezak , Alfred O. Hero

In this paper, we study the problem of joint wideband spectrum sensing and direction-of-arrival (DoA) estimation in a sub-Nyquist sampling framework. Specifically, considering a scenario where a few uncorrelated narrowband signals spread…

Signal Processing · Electrical Eng. & Systems 2019-10-01 Feiyu Wang , Jun Fang , Huiping Duan , Hongbin Li

This work presents a mathematical model to enable rapid prediction of airborne contaminant transport based on scarce sensor measurements. The method is designed for applications in critical infrastructure protection (CIP), such as…

Numerical Analysis · Mathematics 2026-02-05 Marco Mattuschka , Daniel Walter , Max von Danwitz , Alexander Popp

Coprime arrays enable Direction-of-Arrival (DoA) estimation of an increased number of sources. To that end, the receiver estimates the autocorrelation matrix of a larger virtual uniform linear array (coarray), by applying selection or…

Signal Processing · Electrical Eng. & Systems 2020-10-22 Dimitris G. Chachlakis , Tongdi Zhou , Fauzia Ahmad , Panos P. Markopoulos

In this paper we present an algorithm for adaptive sparse grid approximations of quantities of interest computed from discretized partial differential equations. We use adjoint-based a posteriori error estimates of the physical…

Numerical Analysis · Computer Science 2015-06-22 John D. Jakeman , Timothy Wildey

This paper studies the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements collected by a uniform array of sensors. We prove novel stability bounds for…

Information Theory · Computer Science 2022-10-12 Weilin Li , Zengying Zhu , Weiguo Gao , Wenjing Liao

In this work, we propose a subspace-based algorithm for direction-of-arrival (DOA) estimation applied to the signals impinging on a two-level nested array, referred to as multi-step knowledge-aided iterative nested MUSIC method…

Signal Processing · Electrical Eng. & Systems 2018-11-21 S. Pinto , R. C. de Lamare

In this paper, we look to address the problem of estimating the dynamic direction of arrival (DOA) of a narrowband signal impinging on a sensor array from the far field. The initial estimate is made using a Bayesian compressive sensing…

Machine Learning · Statistics 2015-09-22 Matthew Hawes , Lyudmila Mihaylova , Francois Septier , Simon Godsill

This work addresses the problem of direction-of-arrival (DOA) estimation in the presence of non-Gaussian, heavy-tailed, and spatially-colored interference. Conventionally, the interference is considered to be Gaussian-distributed and…

Signal Processing · Electrical Eng. & Systems 2023-07-06 Stefan Feintuch , Joseph Tabrikian , Igal Bilik , Haim H. Permuter

Polarized protons have never been accelerated to more than about $25$GeV. To achieve polarized proton beams in RHIC (250GeV), HERA (820GeV), and the TEVATRON (900GeV), ideas and techniques new to accelerator physics are needed. In this…

acc-phys · Physics 2008-12-18 K. Heinemann , G. H. Hoffstatter
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