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Singular value decomposition is widely used in modal analysis, such as proper orthogonal decomposition and resolvent analysis, to extract key features from complex problems. SVD derivatives need to be computed efficiently to enable the…

Numerical Analysis · Mathematics 2025-05-29 Rohit Kanchi , Sicheng He

Estimating the direction of arrival (DOA) of sources is an important problem in aerospace and vehicular communication, localization and radar. In this paper, we consider a challenging multi-source DOA estimation task, where the receiving…

Signal Processing · Electrical Eng. & Systems 2022-02-17 Tom Tirer , Oded Bialer

Continuing to estimate the Direction-of-arrival (DOA) of the signals impinging on the antenna array, even when a few elements of the underlying Uniform Linear Antenna Array (ULA) fail to work will be of practical interest in RADAR, SONAR…

Other Computer Science · Computer Science 2011-10-11 T. Yerriswamy , S. N. Jagadeesha

Singular value decomposition (SVD) has a crucial role in model order reduction. It is often utilized in the offline stage to compute basis functions that project the high-dimensional nonlinear problem into a low-dimensionsl model which is,…

Numerical Analysis · Mathematics 2016-11-09 Alessandro Alla , J. Nathan Kutz

Direction of Arrival (DOA) estimation of multiple narrow-band coherent or partially coherent sources is a major challenge in array signal processing. Though many subspace- based algorithms are available in literature, none of them tackle…

Information Theory · Computer Science 2018-01-26 Abhishek Aich , P. Palanisamy

In this letter, we propose a joint frequency-space sparse reconstruction method for direction-of-arrival (DOA) estimation, which effectively addresses the issues arising from the existence of coherent sources and array amplitude-phase…

Signal Processing · Electrical Eng. & Systems 2025-09-05 Yutong Chen , Cong Zhou , Changsheng You , Shuo Shi

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

Numerical Analysis · Mathematics 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Singular Spectrum Analysis (SSA) or Singular Value Decomposition (SVD) are often used to de-noise univariate time series or to study their spectral profile. Both techniques rely on the eigendecomposition of the cor- relation matrix…

Signal Processing · Electrical Eng. & Systems 2018-07-30 A. M. Tomé , D. Malafaia , A. R. Teixeira , E. W. Lang

Direction of Arrival (DoA) estimation techniques face a critical trade-off, as classical methods often lack accuracy in challenging, low signal-to-noise ratio (SNR) conditions, while modern deep learning approaches are too energy-intensive…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Rajat Bhattacharjya , Woohyeok Park , Arnab Sarkar , Hyunwoo Oh , Mohsen Imani , Nikil Dutt

We propose a joint estimation method for the Direction-of-Arrival (DoA) and the Noise Covariance Matrix (NCM) tailored for beamforming applications. Building upon an existing NCM framework, our approach simplifies the estimation procedure…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-21 Vitor Gelsleichter Probst Curtarelli , Stephan Paul , Anderson Wedderhoff Spengler

Direction-of-Arrival (DOA) estimation is critical in spatial audio and acoustic signal processing, with wide-ranging applications in real-world. Most existing DOA models are trained on synthetic data by convolving clean speech with room…

Sound · Computer Science 2025-11-12 Haowen Li , Zhengding Luo , Dongyuan Shi , Boxiang Wang , Junwei Ji , Ziyi Yang , Woon-Seng Gan

Direction of Arrival (DoA) estimation using Sparse Linear Arrays (SLAs) has recently gained considerable attention in array processing thanks to their capability to provide enhanced degrees of freedom in resolving uncorrelated source…

Signal Processing · Electrical Eng. & Systems 2021-12-01 Saeid Sedighi , M. R. Bhavani Shankar , Mojtaba Soltanalian , Björn Ottersten

The paper investigates the direction-of-arrival (DOA) estimation of narrow band signals with conventional co-prime arrays by using probabilistic Bayesian neural networks (PBNN). A super resolution DOA estimation method based on Bayesian…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Wael Elshennawy

We focus on developing an effective Direction Of Arrival (DOA) estimation method for wideband sources based on the gridless sparse concept. Previous coherent methods have been designed by dividing wideband frequencies into a few subbands…

Signal Processing · Electrical Eng. & Systems 2021-03-05 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahae

Accurate Direction of Arrival (DoA) estimation is critical for applications in robotics and communication, but high costs and complexity of coherent multi-channel receivers hinder accessibility. This work proposes a cost-effective DoA…

Signal Processing · Electrical Eng. & Systems 2025-02-13 Lennart Werner , Markus Gardill , Marco Hutter

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 investigates parametric direction-of-arrival (DOA) estimation in a particular context: i) each sensor is characterized by an unknown complex gain and ii) the array consists of a collection of subarrays which are substantially…

This paper investigates the problem of noncoherent direction-of-arrival (DOA) estimation using different sparse subarrays. In particular, we present a Multiple Measurements Vector (MMV) model for noncoherent DOA estimation based on a…

Information Theory · Computer Science 2024-02-27 W. Leite , R. C. de Lamare

Direction-of-arrival (DoA) is a critical parameter in wireless channel estimation. With the ever-increasing requirement of high data rate and ubiquitous devices in wireless communication systems, effective wideband DoA estimation is…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Xiaorui Ding , Wenbo Xu , Yue Wang

We propose new algorithms for singular value decomposition (SVD) of very large-scale matrices based on a low-rank tensor approximation technique called the tensor train (TT) format. The proposed algorithms can compute several dominant…

Numerical Analysis · Mathematics 2016-02-11 Namgil Lee , Andrzej Cichocki