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Sparse signal recovery based on nonconvex and nonsmooth optimization problems has significant applications and demonstrates superior performance in signal processing and machine learning. This work deals with a scale-invariant…

最优化与控制 · 数学 2025-09-29 Lang Yu , Nanjing Huang

We propose an iterative channel estimation algorithm based on the Least Square Estimation (LSE) and Sparse Message Passing (SMP) algorithm for the Millimeter Wave (mmWave) MIMO systems. The channel coefficients of the mmWave MIMO are…

信息论 · 计算机科学 2022-06-23 Chongwen Huang , Lei Liu , Chau Yuen , Sumei Sun

The L1 norm regularized least squares method is often used for finding sparse approximate solutions and is widely used in 1-D signal restoration. Basis pursuit denoising (BPD) performs noise reduction in this way. However, the shortcoming…

计算机视觉与模式识别 · 计算机科学 2020-01-30 Nantheera Anantrasirichai , Rencheng Zheng , Ivan Selesnick , Alin Achim

This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

信息论 · 计算机科学 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

Last decade witnesses significant methodological and theoretical advances in estimating large precision matrices. In particular, there are scientific applications such as longitudinal data, meteorology and spectroscopy in which the ordering…

统计理论 · 数学 2019-08-20 Yu Liu , Zhao Ren

We propose a new sparse estimation method, termed MIC (Minimum approximated Information Criterion), for generalized linear models (GLM) in fixed dimensions. What is essentially involved in MIC is the approximation of the $\ell_0$-norm with…

统计方法学 · 统计学 2018-07-23 Xiaogang Su , Juanjuan Fan , Richard A. Levine , Martha E. Nunn , Chih-Ling Tsai

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

信号处理 · 电气工程与系统科学 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

This paper introduces a subspace method for the estimation of an array covariance matrix. It is shown that when the received signals are uncorrelated, the true array covariance matrices lie in a specific subspace whose dimension is…

数值分析 · 计算机科学 2014-11-04 Mostafa Rahmani , George Atia

Localizing more sources than sensors with a sparse linear array (SLA) has long relied on minimizing a distance between two covariance matrices and recent algorithms often utilize semidefinite programming (SDP). Although deep neural network…

信号处理 · 电气工程与系统科学 2025-03-11 Kuan-Lin Chen , Bhaskar D. Rao

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…

信号处理 · 电气工程与系统科学 2024-01-18 Milad Javadzadeh Jirhandeh , Mohammad Hossein Kahaei

The MUSIC algorithm, with its extension for imaging sparse {\em extended} objects, is analyzed by compressed sensing (CS) techniques. The notion of restricted isometry property (RIP) and an upper bound on the restricted isometry constant…

信息论 · 计算机科学 2015-05-19 Albert C. Fannjiang

This paper studies the effects of directional antenna element complex gain patterns and nonidealities in direction of arrival (DoA) estimation. We compare sparse arrays and classical uniform linear arrays, harnessing EM simulation tools to…

信号处理 · 电气工程与系统科学 2025-12-01 Niko Lindvall , Mikko Heino , Robin Rajamäki , Mikko Valkama , Visa Koivunen

Orthogonal Fractional Factorial Designs and in particular Orthogonal Arrays are frequently used in many fields of application, including medicine, engineering and agriculture. In this paper we present a methodology and an algorithm to find…

统计方法学 · 统计学 2015-01-15 Roberto Fontana

In approximation of functions based on point values, least-squares methods provide more stability than interpolation, at the expense of increasing the sampling budget. We show that near-optimal approximation error can nevertheless be…

数值分析 · 数学 2024-02-14 Abdellah Chkifa , Matthieu Dolbeault

Existing convex relaxation-based approaches to reconstruction in compressed sensing assume that noise in the measurements is independent of the signal of interest. We consider the case of noise being linearly correlated with the signal and…

信息论 · 计算机科学 2014-01-03 Thomas Arildsen , Torben Larsen

The line spectrum estimation problem is considered in this paper. We propose a CFAR-based Newtonized OMP (NOMP-CFAR) method which can maintain a desired false alarm rate without the knowledge of the noise variance. The NOMP-CFAR consists of…

信息论 · 计算机科学 2022-10-20 Menghuai Xu , Jiang Zhu , Jun Fang , Ning Zhang , Zhiwei Xu

Channel state information (CSI) is very crucial for any wireless communication systems. Typically, CSI can be characterized at the receiver side using channel impulse response (CIR). Many observations have shown that the CIR of broadband…

信号处理 · 电气工程与系统科学 2018-12-12 Ahmed M. Abd El-Moaty , Azzedine Zerguine

A unified view of sparse signal processing is presented in tutorial form by bringing together various fields. For each of these fields, various algorithms and techniques, which have been developed to leverage sparsity, are described…

信息论 · 计算机科学 2009-02-12 F. Marvasti , A. Amini , F. Haddadi , M. Soltanolkotabi , B. H. Khalaj , A. Aldroubi , S. Holm , S. Sanei , J. Chambers

We obtain minimax-optimal convergence rates in the supremum norm, including information-theoretic lower bounds, for estimating the covariance kernel of a stochastic process which is repeatedly observed at discrete, synchronous design…

统计理论 · 数学 2025-09-03 Max Berger , Hajo Holzmann

An algorithm called MUSIC-like algorithm was originally proposed as an alternative method to the MUltiple SIgnal Classification (MUSIC) algorithm for direction-of-arrival (DOA) estimation. Without requiring explicit model order estimation,…

信号处理 · 电气工程与系统科学 2018-11-20 Narong Borijindargoon , Boon Poh Ng