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Panel vector auto-regressive (VAR) models are widely used to capture the dynamics of multivariate time series across different subpopulations, where each subpopulation shares a common set of variables. In this work, we propose a panel VAR…

Methodology · Statistics 2025-09-22 Yuchen Xu , George Michailidis

The direction-of-arrival (DOA) estimation problem involves the localization of a few sources from a limited number of observations on an array of sensors, thus it can be formulated as a sparse signal reconstruction problem and solved…

Information Theory · Computer Science 2017-02-22 Angeliki Xenaki , Peter Gerstoft

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

We address the challenging problem of estimating the directions-of-arrival (DOAs) of multiple off-grid signals using a single snapshot of one-bit quantized measurements. Conventional DOA estimation methods face difficulties in tackling this…

Signal Processing · Electrical Eng. & Systems 2025-10-23 Yunqiao Hu , Shunqiao Sun , Yimin D. Zhang

The source number identification is an essential step in direction-of-arrival (DOA) estimation. Existing methods may provide a wrong source number due to inferior statistical properties (in low SNR or limited snapshots) or modeling errors…

Neural and Evolutionary Computing · Computer Science 2021-10-15 Bai Yan , Qi Zhao , Jin Zhang , J. Andrew Zhang , Xin Yao

Recent advancements in Deep Learning (DL) for Direction of Arrival (DOA) estimation have highlighted its superiority over traditional methods, offering faster inference, enhanced super-resolution, and robust performance in low…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Honglei Chen , Mojtaba Soltanalian , Jian Li

An ambiguity-free direction-of-arrival (DOA) estimation scheme is proposed for sparse uniform linear arrays under low signal-to-noise ratios (SNRs) and non-stationary broadband signals. First, for achieving better DOA estimation performance…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Wei Wang , Shefeng Yan , Linlin Mao , Zeping Sui , Jirui Yang

Gridless direction-of-arrival (DOA) estimation with multiple frequencies can be applied in acoustics source localization problems. We formulate this as an atomic norm minimization (ANM) problem and derive an equivalent regularization-free…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Yifan Wu , Michael B. Wakin , Peter Gerstoft

Demixing problems in many areas such as hyperspectral imaging and differential optical absorption spectroscopy (DOAS) often require finding sparse nonnegative linear combinations of dictionary elements that match observed data. We show how…

Machine Learning · Statistics 2013-01-04 Ernie Esser , Yifei Lou , Jack Xin

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

This paper considers the problem of direction-of-arrival (DOA) estimation of coherent signals on passive coprime arrays, where we resort to the fourth-order cumulants of the received signal to explore more information. A fourth-order…

Information Theory · Computer Science 2017-01-24 Yang Hu , Yimin Liu , Xiqin Wang

Topological data analysis (TDA) has emerged as one of the most promising techniques to reconstruct the unknown shapes of high-dimensional spaces from observed data samples. TDA, thus, yields key shape descriptors in the form of persistent…

Machine Learning · Statistics 2017-11-15 Wei Guo , Krithika Manohar , Steven L. Brunton , Ashis G. Banerjee

This paper presents a series of user parameter-free iterative Sparse Asymptotic Minimum Variance (SAMV) approaches for array processing applications based on the asymptotically minimum variance (AMV) criterion. With the assumption of…

Signal Processing · Electrical Eng. & Systems 2018-02-12 Habti Abeida , Qilin Zhang , Jian Li , Nadjim Merabtine

In this work, we explore the problems of detecting the number of narrow-band, far-field targets and estimating their corresponding directions from single snapshot measurements. The principles of sparse signal recovery (SSR) are used for the…

Applications · Statistics 2017-05-23 Rakshith Jagannath

For a sound field observed on a sensor array, compressive sensing (CS) reconstructs the direction-of-arrival (DOA) of multiple sources using a sparsity constraint. The DOA estimation is posed as an underdetermined problem by expressing the…

Statistics Theory · Mathematics 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker

In this paper, we study the spectral estimation problem of estimating the locations of a fixed number of point sources given multiple snapshots of Fourier measurements in a bounded domain. We aim to provide a mathematical foundation for…

Image and Video Processing · Electrical Eng. & Systems 2025-06-27 Ping Liu , Sanghyeon Yu , Ola Sabet , Lucas Pelkmans , Habib Ammari

Direction of arrival (DoA) estimation is a fundamental task in array processing. A popular family of DoA estimation algorithms are subspace methods, which operate by dividing the measurements into distinct signal and noise subspaces.…

Signal Processing · Electrical Eng. & Systems 2024-07-12 Dor H. Shmuel , Julian P. Merkofer , Guy Revach , Ruud J. G. van Sloun , Nir Shlezinger

The directions of arrival (DOA) of plane waves are estimated from multi-snapshot sensor array data using Sparse Bayesian Learning (SBL). The prior source amplitudes is assumed independent zero-mean complex Gaussian distributed with…

Statistics Theory · Mathematics 2016-09-21 Peter Gerstoft , Christoph F. Mecklenbräuker , Angeliki Xenaki

This article discusses the application of single vector hydrophones in the field of underwater acoustic signal processing for Direction Of Arrival (DOA) estimation. Addressing the limitations of traditional DOA estimation methods in…

Sound · Computer Science 2025-12-29 Jiabin Guo

In this paper, we introduce a novel algorithm that can dramatically reduce the number of antenna elements needed to accurately predict the direction of arrival (DOA) for multiple input multiple output (MIMO) radar. The new proposed…

Signal Processing · Electrical Eng. & Systems 2020-09-16 Udaya Sampath K. P. Miriya Thanthrige , Aya Mostafa Ahmed , Aydin Sezgin