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This paper develops a new mathematical framework for denoising in blind two-dimensional (2D) super-resolution upon using the atomic norm. The framework denoises a signal that consists of a weighted sum of an unknown number of time-delayed…

信息论 · 计算机科学 2023-07-19 Mohamed A. Suliman , Wei Dai

The alternating direction method of multipliers (ADMM) is a popular method for solving convex separable minimization problems with linear equality constraints. The generalization of the two-block ADMM to the three-block ADMM is not trivial…

最优化与控制 · 数学 2021-05-10 Yang Yang , Yuchao Tang , Jigen Peng

The four-dimensional variational data assimilation (4D-Var) has emerged as an important methodology, widely used in numerical weather prediction, oceanographic modeling, and climate forecasting. Classical unconstrained gradient-based…

数值分析 · 数学 2024-10-08 Bowen Li , Bin Shi

In a recent paper, the authors proposed a new class of low-complexity iterative thresholding algorithms for reconstructing sparse signals from a small set of linear measurements \cite{DMM}. The new algorithms are broadly referred to as AMP,…

信息论 · 计算机科学 2009-11-24 David L. Donoho , Arian Maleki , Andrea Montanari

This paper considers decentralized consensus optimization problems where nodes of a network have access to different summands of a global objective function. Nodes cooperate to minimize the global objective by exchanging information with…

最优化与控制 · 数学 2016-09-21 Aryan Mokhtari , Wei Shi , Qing Ling , Alejandro Ribeiro

One of the main challenges in high-speed mobile communications is the presence of large Doppler spreads. Thus, accurate estimation of maximum Doppler spread (MDS) plays an important role in improving the performance of the communication…

信号处理 · 电气工程与系统科学 2018-02-12 Mostafa Mohammadkarimi , Ebrahim Karami , Octavia A. Dobre , Moe Z. Win

Massive multiple input multiple output(MIMO)-based fully-digital receive antenna arrays bring huge amount of complexity to both traditional direction of arrival(DOA) estimation algorithms and neural network training, which is difficult to…

信号处理 · 电气工程与系统科学 2023-01-18 Yiwen Chen , Xichao Zhan , Feng Shu

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…

Multiple-input multiple-output (MIMO) systems play an essential role in direction-of-arrival (DOA) estimation. A large number of antennas used in a MIMO system imposes a huge complexity burden on the popular DOA estimation algorithms, such…

信号处理 · 电气工程与系统科学 2023-03-16 Md Imrul Hasan , Mohammad Saquib

A recent trend of research on direction-of-arrival (DOA) estimation is to localize more uncorrelated sources than sensors by using a proper sparse linear array (SLA) and the Toeplitz covariance structure, at a cost of robustness to source…

信号处理 · 电气工程与系统科学 2022-03-28 Zai Yang , Xinyao Chen , Xunmeng Wu

We discuss a technique that allows blind recovery of signals or blind identification of mixtures in instances where such recovery or identification were previously thought to be impossible: (i) closely located or highly correlated sources…

信息论 · 计算机科学 2013-10-25 Lek-Heng Lim , Pierre Comon

Synthetic aperture radar (SAR) tomography (TomoSAR) enables the reconstruction and three-dimensional (3D) localization of targets based on multiple two-dimensional (2D) observations of the same scene. The resolving along the elevation…

信号处理 · 电气工程与系统科学 2022-04-27 Silin Gao , Zhe Zhang , Bingchen Zhang , Yirong Wu

We analyze the convergence rate of the alternating direction method of multipliers (ADMM) for minimizing the sum of two or more nonsmooth convex separable functions subject to linear constraints. Previous analysis of the ADMM typically…

最优化与控制 · 数学 2013-03-27 Mingyi Hong , Zhi-Quan Luo

The alternating direction method of multipliers (ADMM) is a versatile tool for solving a wide range of constrained optimization problems, with differentiable or non-differentiable objective functions. Unfortunately, its performance is…

机器学习 · 计算机科学 2017-07-20 Zheng Xu , Mario A. T. Figueiredo , Tom Goldstein

This paper presents a novel efficient method for gridless line spectrum estimation problem with single snapshot, namely the gradient descent least squares (GDLS) method. Conventional single snapshot (a.k.a. single measure vector or SMV)…

信号处理 · 电气工程与系统科学 2023-07-19 Ruizhe Shi , Zhe Zhang , Xiaolan Qiu , Chibiao Ding

In this paper, direction-of-arrival estimation using nested array is studied in the framework of sparse signal representation. With the vectorization operator, a new real-valued nonnegative sparse signal recovery model which has a wider…

信号处理 · 电气工程与系统科学 2019-04-12 Yunmei Shi , Xing-Peng Mao , Chunlei Zhao , Yong-Tan Liu

In this paper, we study a general optimization model, which covers a large class of existing models for many applications in imaging sciences. To solve the resulting possibly nonconvex, nonsmooth and non-Lipschitz optimization problem, we…

最优化与控制 · 数学 2016-09-30 Lei Yang , Ting Kei Pong , Xiaojun Chen

We consider the problem of max-min beamforming (MMB) for cell-free massive multi-input multi-output (MIMO) systems, where the objective is to maximize the minimum achievable rate among all users. Existing MMB methods are mainly based on…

信号处理 · 电气工程与系统科学 2025-07-28 Bin Wang , Jun Fang , Yue Xiao , Martin Haardt

We solve the compressive sensing problem via convolutional factor analysis, where the convolutional dictionaries are learned {\em in situ} from the compressed measurements. An alternating direction method of multipliers (ADMM) paradigm for…

机器学习 · 统计学 2017-01-12 Xin Yuan , Yunchen Pu , Lawrence Carin

To perform multi-user multiple-input and multiple-output transmission in millimeter-wave(mmWave) cellular systems, the high-dimensional channels need to be estimated for designing the multi-user precoder. Conventional grid-based compressed…

信息论 · 计算机科学 2018-02-15 Junquan Deng , Olav Tirkkonen , Christoph Studer
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