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We extend the randomized singular value decomposition (SVD) algorithm \citep{Halko2011finding} to estimate the SVD of a shifted data matrix without explicitly constructing the matrix in the memory. With no loss in the accuracy of the…

Machine Learning · Statistics 2019-12-02 Ali Basirat

Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD…

Chaotic Dynamics · Physics 2009-02-11 Prabhakar G. Vaidya , Sajini Anand P. S , Nithin Nagaraj

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

In this paper, we study the problem of estimating the direction of arrival (DOA) using a sparsely sampled uniform linear array (ULA). Based on an initial incomplete ULA measurement, our strategy is to choose a sparse subset of array…

Signal Processing · Electrical Eng. & Systems 2022-02-22 Mohammad Bokaei , Saeed Razavikia , Arash Amini , Stefano Rini

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

As massive multiple-input multiple-output (MIMO) becomes popular, direction of arrival (DOA) measurement has been made a real renaissance due to the high-resolution achieved. Thus, there is no doubt about DOA estimation using massive MIMO.…

Information Theory · Computer Science 2023-07-18 Jiangzhou Wang , Baihua Shi , Feng Shu , Qi Zhang , Di Wu , Qijuan Jie , Zhihong Zhuang , Siling Feng , Yijin Zhang

Direction of arrival (DOA) estimation is an important research in the area of array signal processing, and has been studied for decades. High resolution DOA estimation requires large array aperture, which leads to the increase of hardware…

Signal Processing · Electrical Eng. & Systems 2023-09-26 Yangying Zhao , Peng Chen , Zhenxin Cao , Xianbin Wang

The direction of arrival (DOA) estimation in array signal processing is an important research area. The effectiveness of the direction of arrival greatly determines the performance of multi-input multi-output (MIMO) antenna systems. The…

Information Theory · Computer Science 2021-02-09 Fanxu Meng

This paper proposes a deep neural network for estimating the directions of arrival (DOA) of multiple sound sources. The proposed stacked convolutional and recurrent neural network (DOAnet) generates a spatial pseudo-spectrum (SPS) along…

Sound · Computer Science 2018-08-07 Sharath Adavanne , Archontis Politis , Tuomas Virtanen

This letter proposes a multiple parametric dictionary learning algorithm for direction of arrival (DOA) estimation in presence of array gain-phase error and mutual coupling. It jointly solves both the DOA estimation and array imperfection…

Machine Learning · Computer Science 2017-07-25 H. Ghanbari , H. Zayyani , E. Yazdian

The singular value decomposition (SVD) is commonly used in applications requiring a low rank matrix approximation. However, the singular vectors cannot be interpreted in terms of the original data. For applications requiring this type of…

Numerical Analysis · Mathematics 2025-05-23 Kathryn Linehan , Radu Balan

This paper presents a method for real-time estimation of 2-dimensional direction of arrival (2D-DOA) of one or more sound sources using a nonlinear array of three microphones. 2D-DOA is estimated employing frame-level time difference of…

Audio and Speech Processing · Electrical Eng. & Systems 2023-05-10 Anton Kovalyov , Kashyap Patel , Issa Panahi

Conventional direction-of-arrival (DoA) estimation methods rely on multi-antenna arrays, which are costly to implement on size-constrained Bluetooth Low Energy (BLE) devices. Virtual antenna array (VAA) techniques enable DoA estimation with…

Signal Processing · Electrical Eng. & Systems 2026-02-04 Jincheng Xie , Yili Deng , Jiguang He , Pengyu Wang , Miaomiao Dong , Rui Tang , Zhongyi Huang

Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

Statistics Theory · Mathematics 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

In order to improve the accuracy and resolution for transmit beamspace multiple-input multiple-output (MIMO) radar, a search-free direction-of-arrival (DOA) estimation method based on tensor decomposition and polynomial rooting is proposed.…

Information Theory · Computer Science 2020-10-15 Feng Xu , Xiaopeng Yang , Tian Lan

To provide rapid direction finding (DF) for unmanned aerial vehicle (UAV) emitter in future wireless networks, a low-complexity direction of arrival (DOA) estimation architecture for massive multiple input multiple output (MIMO) receiver…

Information Theory · Computer Science 2023-04-25 Yiwen Chen , Feng Shu , Qijuan Jie , Xichao Zhan , Xuehui Wang , Zhongwen Sun , Shihao Yan , Wenlong Cai , Peng Zhang , Peng Chen

Distributions measured in high energy physics experiments are usually distorted and/or transformed by various detector effects. A regularization method for unfolding these distributions is re-formulated in terms of the Singular Value…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andreas Hoecker , Vakhtang Kartvelishvili

A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated singular value decomposition (SVD) is known to provide the best such approximation for any…

Numerical Analysis · Mathematics 2014-08-12 Ming Gu

We present a MUSIC-based Direction of Arrival (DOA) estimation strategy using small antenna arrays, via employing deep learning for reconstructing the signals of a virtual large antenna array. Not only does the proposed strategy deliver…

Signal Processing · Electrical Eng. & Systems 2021-03-08 Aya Mostafa Ahmed , Udaya Sampath K. P. Miriya Thanthrige , Aly El Gamal , Aydin Sezgin

The direction-of-arrival (DOA) of sound sources is an essential acoustic parameter used, e.g., for multi-channel speech enhancement or source tracking. Complex acoustic scenarios consisting of sources-of-interest, interfering sources,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-17 Wolfgang Mack , Julian Wechsler , Emanuël A. P. Habets
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