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We study direction-of-arrival (DOA) estimation from coarsely quantized data. We focus on a two-step approach which first estimates the signal subspace via covariance estimation and then extracts DOA angles by the ESPRIT algorithm. In…

Information Theory · Computer Science 2025-08-12 Sjoerd Dirksen , Weilin Li , Johannes Maly

We describe and analyze a simple algorithm for principal component analysis and singular value decomposition, VR-PCA, which uses computationally cheap stochastic iterations, yet converges exponentially fast to the optimal solution. In…

Machine Learning · Computer Science 2015-08-03 Ohad Shamir

We focus on coherent direction of arrival estimation of wideband sources based on spatial sparsity. This area of research is encountered in many applications such as passive radar, sonar, mining, and communication problems, in which an…

Signal Processing · Electrical Eng. & Systems 2024-01-18 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahaei

Estimating the directions of arrival (DOAs) of incoming plane waves is an essential topic in array signal processing. Widely adopted uniform linear arrays can only provide estimates of source azimuth. Thus, uniform circular arrays (UCAs)…

Signal Processing · Electrical Eng. & Systems 2025-07-18 Mingyan Gong

An approach to the estimation of the Direction of Arrival (DOA) of wide-band signals with a planar microphone array is presented. Our algorithm estimates an unambiguous DOA using a single planar array in which the microphones are placed…

Sound · Computer Science 2018-11-19 Rudolf Byker , Thomas Niesler

Efficiently computing a subset of a correlation matrix consisting of values above a specified threshold is important to many practical applications. Real-world problems in genomics, machine learning, finance other applications can produce…

Computation · Statistics 2016-03-15 James Baglama , Michael Kane , Bryan Lewis , Alex Poliakov

In this paper, we develop a new technique to obtain nearly optimal estimates of the computational resolution limits introduced in Appl. Comput. Harmon. Anal. 56 (2022) 402-446; IEEE Trans. Inf. Theory 67(7) (2021) 4812-4827; Inverse Probl.…

Image and Video Processing · Electrical Eng. & Systems 2022-05-17 Ping Liu , Habib Ammari

Dynamic Mode Decomposition (DMD) has emerged as a powerful tool for analyzing the dynamics of non-linear systems from experimental datasets. Recently, several attempts have extended DMD to the context of low-rank approximations. This…

Machine Learning · Statistics 2018-05-18 Patrick Héas , Cédric Herzet

An efficient Singular Value Decomposition (SVD) algorithm is an important tool for distributed and streaming computation in big data problems. It is observed that update of singular vectors of a rank-1 perturbed matrix is similar to a…

Machine Learning · Computer Science 2017-07-27 Ratnik Gandhi , Amoli Rajgor

In this paper, a new multi-source wideband direction of arrival (MSW-DOA) estimation method is proposed for the signal with non-uniform distribution using the sub-array of uniform linear array. Different from conventional methods, based on…

Audio and Speech Processing · Electrical Eng. & Systems 2022-04-12 Jing Zhou , Changchun Bao

We revisit a singular value decomposition (SVD) algorithm given in Chen et al. (2019b) for exploratory Item Factor Analysis (IFA). This algorithm estimates a multidimensional IFA model by SVD and was used to obtain a starting point for…

Methodology · Statistics 2025-01-08 Haoran Zhang , Yunxiao Chen , Xiaoou Li

This chapter describes gene expression analysis by Singular Value Decomposition (SVD), emphasizing initial characterization of the data. We describe SVD methods for visualization of gene expression data, representation of the data using a…

Biological Physics · Physics 2007-05-23 Michael E. Wall , Andreas Rechtsteiner , Luis M. Rocha

We present a practical and efficient means to compute the singular value decomposition (svd) of a quaternion matrix A based on bidiagonalization of A to a real bidiagonal matrix B using quaternionic Householder transformations. Computation…

Numerical Analysis · Mathematics 2007-05-23 Stephen J. Sangwine , Nicolas Le Bihan

We propose a mixed precision Jacobi algorithm for computing the singular value decomposition (SVD) of a dense matrix. After appropriate preconditioning, the proposed algorithm computes the SVD in a lower precision as an initial guess, and…

Numerical Analysis · Mathematics 2025-05-12 Weiguo Gao , Yuxin Ma , Meiyue Shao

The problem of gridless direction of arrival (DOA) estimation is addressed in the non-uniform array (NUA) case. Traditionally, gridless DOA estimation and root-MUSIC are only applicable for measurements from a uniform linear array (ULA).…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mark Wagner , Yongsung Park , Peter Gerstoft

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

Direction of arrival (DoA) estimation of multiple signals is pivotal in sensor array signal processing. A popular multi-signal DoA estimation method is the multiple signal classification (MUSIC) algorithm, which enables high-performance…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Julian P. Merkofer , Guy Revach , Nir Shlezinger , Tirza Routtenberg , Ruud J. G. van Sloun

Standard Direction of Arrival (DOA) estimation methods are typically derived based on the Gaussian noise assumption, making them highly sensitive to outliers. Therefore, in the presence of impulsive noise, the performance of these methods…

Machine Learning · Computer Science 2024-05-28 Y. Li , W. Xiao , L. Zhao , Z. Huang , Q. Li , L. Li , R. C. de Lamare

Real-time speech enhancement has began to rise in performance, and the Demucs Denoiser model has recently demonstrated strong performance in multiple-speech-source scenarios when accompanied by a location-based speech target selection…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-08 Caleb Rascon

We develop a new tensor model for slow-time multiple-input multiple output (MIMO) radar and apply it for joint direction-of-departure (DOD) and direction-of-arrival (DOA) estimation. This tensor model aims to exploit the independence of…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Feng Xu , Sergiy A. Vorobyov , Xiaopeng Yang