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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 problem of direction of arrival (DOA) estimation has been studied for decades as an essential technology in enabling radar, wireless communications, and array signal processing related applications. In this paper, the DOA estimation…

Signal Processing · Electrical Eng. & Systems 2022-03-22 Peng Chen , Zhimin Chen , Zhenxin Cao , Xianbin Wang

Single-snapshot signal processing in sparse linear arrays has become increasingly vital, particularly in dynamic environments like automotive radar systems, where only limited snapshots are available. These arrays are often utilized either…

Signal Processing · Electrical Eng. & Systems 2025-01-14 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Yimin D. Zhang

The subdifferential of convex functions of the singular spectrum of real matrices has been widely studied in matrix analysis, optimization and automatic control theory. Convex analysis and optimization over spaces of tensors is now gaining…

Machine Learning · Statistics 2015-06-09 Stephane Chretien , Tianwen Wei

Since the matrix formed by nonlocal similar patches in a natural image is of low rank, the nuclear norm minimization (NNM) has been widely used in various image processing studies. Nonetheless, nuclear norm based convex surrogate of the…

Computer Vision and Pattern Recognition · Computer Science 2017-06-28 Zhiyuan Zha , Xinggan Zhang , Yu Wu , Qiong Wang , Lan Tang

A new sparse signal recovery algorithm for multiple-measurement vectors (MMV) problem is proposed in this paper. The sparse representation is iteratively drawn based on the idea of zero-point attracting projection (ZAP). In each iteration,…

Information Theory · Computer Science 2015-03-20 Yang You , Laming Chen , Yuantao Gu , Wei Feng , Hui Dai

Sparse arrays enable resolving more direction of arrivals (DoAs) than antenna elements using non-uniform arrays. This is typically achieved by reconstructing the covariance of a virtual large uniform linear array (ULA), which is then…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Yoav Amiel , Dor H. Shmuel , Nir Shlezinger , Wasim Huleihel

An efficient, accurate and reliable approximation of a matrix by one of lower rank is a fundamental task in numerical linear algebra and signal processing applications. In this paper, we introduce a new matrix decomposition approach termed…

Numerical Analysis · Computer Science 2018-08-15 Maboud F. Kaloorazi , Rodrigo C. de Lamare

The problem of estimating ARMA models is computationally interesting due to the nonconcavity of the log-likelihood function. Recent results were based on the convex minimization. Joint model selection using penalization by a convex norm,…

Statistics Theory · Mathematics 2015-08-10 Stéphane Chrétien , Tianwen Wei , Basad Ali Hussain Al-sarray

Given a limited number of entries from the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, recovery of the low-rank and sparse components is a fundamental task subsuming…

Multiagent Systems · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an extension of the single-measurement-vector (SMV) problem widely…

Information Theory · Computer Science 2018-08-23 Ewout van den Berg , Michael P. Friedlander

Low-rank Multi-view Subspace Learning (LMvSL) has shown great potential in cross-view classification in recent years. Despite their empirical success, existing LMvSL based methods are incapable of well handling view discrepancy and…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Jiamiao Xu , Fangzhao Wang , Qinmu Peng , Xinge You , Shuo Wang , Xiao-Yuan Jing , C. L. Philip Chen

Multiple measurement vector (MMV) problem addresses the recovery of a set of sparse signal vectors that share common non-zero support, and has emerged an important topics in compressed sensing. Even though the fundamental performance limit…

Information Theory · Computer Science 2015-10-20 O. K. Lee , J. C. Ye

Single-snapshot direction-of-arrival (DOA) estimation using sparse linear arrays (SLAs) has gained significant attention in the field of automotive MIMO radars. This is due to the dynamic nature of automotive settings, where multiple…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Yunqiao Hu , Shunqiao Sun

In this paper, we address the problem of joint direction-of-arrival (DoA) and range estimation using frequency diverse coprime array (FDCA). By incorporating the coprime array structure and coprime frequency offsets, a two-dimensional…

Signal Processing · Electrical Eng. & Systems 2022-06-29 Zihuan Mao , Shengheng Liu , Yimin D. Zhang , Leixin Han , Yongming Huang

This paper focuses on the gridless direction-of-arrival (DoA) estimation for data acquired by non-uniform linear arrays (NLAs) in automotive applications. Atomic norm minimization (ANM) is a promising gridless sparse recovery algorithm…

Signal Processing · Electrical Eng. & Systems 2023-03-09 Silin Gao , Zhe Zhang , Muhan Wang , Yan Zhang , Jie Zhao , Bingchen Zhang , Yue Wang , Yirong Wu

This paper concerns with a noisy structured low-rank matrix recovery problem which can be modeled as a structured rank minimization problem. We reformulate this problem as a mathematical program with a generalized complementarity constraint…

Optimization and Control · Mathematics 2017-03-14 Shujun Bi , Shaohua Pan , Defeng Sun

In this paper, we investigate the recovery of a sparse weight vector (parameters vector) from a set of noisy linear combinations. However, only partial information about the matrix representing the linear combinations is available. Assuming…

Machine Learning · Computer Science 2016-11-18 Ashkan Esmaeili , Arash Amini , Farokh Marvasti

Recently, compressive antenna arrays have been considered for DoA estimation with reduced hardware complexity. By utilizing compressive sensing, such arrays employ a linear combining network to combine signals from a larger set of antenna…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Sankalp Pawar , Sebastian Semper , Florian Römer

In this paper, an accurate direction-of-arrival (DOA) estimator is developed based on the real-valued singular value decomposition (SVD) of covariance matrix. Unitary transform on the complex-valued covariance matrix is first applied, and…

Signal Processing · Electrical Eng. & Systems 2020-04-13 Hui Cao , Qi Liu