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A sparse recovery approach for direction finding in partly calibrated arrays composed of subarrays with unknown displacements is introduced. The proposed method is based on mixed nuclear norm and 1 norm minimization and exploits…

Information Theory · Computer Science 2018-02-14 Christian Steffens , Marius Pesavento

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 the Multiple Measurements Vector (MMV) model, measurement vectors are connected to unknown, jointly sparse signal vectors through a linear regression model employing a single known measurement matrix (or dictionary). Typically, the…

Methodology · Statistics 2024-08-05 Esa Ollila

Direction of arrival (DOA) estimation is mostly performed using specialized arrays that have carefully designed receiver spacing and layouts to match the operating frequency range. In contrast, radio interferometric arrays are designed to…

Instrumentation and Methods for Astrophysics · Physics 2025-12-23 Sarod Yatawatta

We study the high-dimensional inference of a rank-one signal corrupted by sparse noise. The noise is modelled as the adjacency matrix of a weighted undirected graph with finite average connectivity in the large size limit. Using the replica…

Machine Learning · Statistics 2025-11-18 Urte Adomaityte , Gabriele Sicuro , Pierpaolo Vivo

Supervised learning based methods for source localization, being data driven, can be adapted to different acoustic conditions via training and have been shown to be robust to adverse acoustic environments. In this paper, a convolutional…

Audio and Speech Processing · Electrical Eng. & Systems 2019-05-22 Soumitro Chakrabarty , Emanuël A. P. Habets

The problem of two-dimensional (2-D) direction-of-arrival (DOA) estimation for the L-shaped nested array is considered. Typically, the multi-dimensional structure of the received signal in co-array domain is ignored in the problem…

Signal Processing · Electrical Eng. & Systems 2022-06-07 Feng Xu , Sergiy A. Vorobyov

This paper aims at presenting a numerical investigation of the statistical efficiency of the MUSIC (with different covariance matrix estimates) and the IAA-APES Direction of Arrivals (DOAs) estimation algorithms under a general Complex…

Signal Processing · Electrical Eng. & Systems 2019-03-04 Stefano Fortunati , Fulvio Gini , Maria S. Greco

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

In this paper, we explore the problems of detecting the number of narrow-band, far-field targets and estimating their corresponding directions of arrivals (DoAs) from single snapshot measurements. We use the principles of sparse signal…

Applications · Statistics 2017-09-12 Rakshith Jagannath

Sparse arrays have emerged as a popular alternative to the conventional uniform linear array (ULA) due to the enhanced degrees of freedom (DOF) and superior resolution offered by them. In the passive setting, these advantages are realized…

Signal Processing · Electrical Eng. & Systems 2023-01-05 Pulak Sarangi , Mehmet Can Hucumenoglu , Robin Rajamaki , Piya Pal

This paper studies spatial smoothing using sparse arrays in single-snapshot Direction of Arrival (DOA) estimation. We consider the application of automotive MIMO radar, which traditionally synthesizes a large uniform virtual array by…

Signal Processing · Electrical Eng. & Systems 2024-01-15 Yinyan Bu , Robin Rajamäki , Pulak Sarangi , Piya Pal

In this paper, the problem of determining the number of signal sources impinging on an array of sensors and estimating their directions-of-arrival (DOAs) in the presence of spatially white nonuniform noise is considered. It is known that,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 Mahmood Karimi

The problem of off-grid direction-of-arrival (DOA) estimation is investigated. We develop a grid-based method to jointly estimate the closest spatial frequency (the sine of DOA) grids, and the gaps between the estimated grids and the…

Signal Processing · Electrical Eng. & Systems 2022-03-01 Huiping Huang , Hing Cheung So , Abdelhak M. Zoubir

Eigen-decomposition-based direction finding methods of using large-scale/ultra-large-scale fully-digital receive antenna arrays lead to a high or ultra-high complexity. To address the complexity dilemma, in this paper, three low-complexity…

Signal Processing · Electrical Eng. & Systems 2022-08-11 Yiwen Chen , Xichao Zhan , Feng Shu , Qijuan Jie , Xin Cheng , Zhihong Zhuang , Jiangzhou Wang

Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

Machine Learning · Computer Science 2016-11-01 Namrata Vaswani , Han Guo

Given a matrix of observed data, Principal Components Analysis (PCA) computes a small number of orthogonal directions that contain most of its variability. Provably accurate solutions for PCA have been in use for a long time. However, to…

Machine Learning · Computer Science 2016-11-03 Namrata Vaswani , Han Guo

Sparse arrays with $N$-sensors can provide up to $O(N^2)$ degrees of freedom (DOF) by second-order cumulants. However, these sparse arrays like minimum-/low-redundancy arrays (MRAs/LRAs), nested arrays and coprime arrays can only provide…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Si Wang , Guoqiang Xiao

In this work, we introduce a variable window size (VWS) spatial smoothing framework that enhances coarray-based direction of arrival (DOA) estimation for sparse linear arrays. By compressing the smoothing aperture, the proposed VWS Coarray…

Machine Learning · Computer Science 2025-12-29 Wesley S. Leite , Rodrigo C. de Lamare , Yuriy Zakharov , Wei Liu , Martin Haardt

A transmitted, unknown radar signal is observed at the receiver through more than one path in additive noise. The aim is to recover the waveform of the intercepted signal and to simultaneously estimate the direction of arrival (DOA). We…

Statistics Theory · Mathematics 2011-03-30 Tabea Rebafka , Céline Lévy-Leduc , Maurice Charbit
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