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In this paper, we consider the problem of collaboratively estimating the sparsity pattern of a sparse signal with multiple measurement data in distributed networks. We assume that each node makes Compressive Sensing (CS) based measurements…

信息论 · 计算机科学 2012-11-29 Thakshila Wimalajeewa , Pramod K. Varshney

Compressed sensing (CS) is a technique which uses fewer measurements than dictated by the Nyquist sampling theorem. The traditional CS with linear measurements achieves efficient recovery performances, but it suffers from the large bit…

信号处理 · 电气工程与系统科学 2024-10-30 Ching-Lun Tai , Sung-Hsien Hsieh , Chun-Shien Lu

In this paper, we address the sparse multiple measurement vector (MMV) problem where the objective is to recover a set of sparse nonzero row vectors or indices of a signal matrix from incomplete measurements. Ideally, regardless of the…

信息论 · 计算机科学 2016-01-27 Kyung Su Kim , Sae-Young Chung

Energy consumption is an important issue in continuous wireless telemonitoring of physiological signals. Compressed sensing (CS) is a promising framework to address it, due to its energy-efficient data compression procedure. However, most…

信息论 · 计算机科学 2014-11-18 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Zhouyue Pi , Bhaskar D. Rao

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

统计方法学 · 统计学 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Sparse support recovery arises in many applications in communications and signal processing. Existing methods tackle sparse support recovery problems for a given measurement matrix, and cannot flexibly exploit the properties of sparsity…

信息论 · 计算机科学 2019-10-11 Shuaichao Li , Wanqing Zhang , Ying Cui , Hei Victor Cheng , Wei Yu

The typical approach for recovery of spatially correlated signals is regularized least squares with a coupled regularization term. In the Bayesian framework, this algorithm is seen as a maximum-a-posterior estimator whose postulated prior…

信息论 · 计算机科学 2018-05-31 Ali Bereyhi , Saeid Haghighatshoar , Ralf R. Müller

Compressed Sensing refers to extracting a low-dimensional structured signal of interest from its incomplete random linear observations. A line of recent work has studied that, with the extra prior information about the signal, one can…

信息论 · 计算机科学 2017-04-19 Sajad Daei , Farzan Haddadi

In this paper, we introduce a sparse approximation property of order $s$ for a measurement matrix ${\bf A}$: $$\|{\bf x}_s\|_2\le D \|{\bf A}{\bf x}\|_2+ \beta \frac{\sigma_s({\bf x})}{\sqrt{s}} \quad {\rm for\ all} \ {\bf x},$$ where ${\bf…

信息论 · 计算机科学 2015-05-28 Qiyu Sun

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

最优化与控制 · 数学 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

Doubly selective (DS) channel estimation in largescale multiple-input multiple-output (MIMO) systems is a challenging problem due to the requirement of unaffordable pilot overheads and prohibitive complexity. In this paper, we propose a…

信息论 · 计算机科学 2015-11-10 Bo Gong , Qibo Qin , Xiang Ren , Lin Gui , Hanwen Luo , Wen Chen

Sparsity priors are commonly used in denoising and image reconstruction. For analysis-type priors, a dictionary defines a representation of signals that is likely to be sparse. In most situations, this dictionary is not known, and is to be…

最优化与控制 · 数学 2021-12-16 Hashem Ghanem , Joseph Salmon , Nicolas Keriven , Samuel Vaiter

In this paper, we develop a method for estimating and clustering two-dimensional spectral density functions (2D-SDFs) for spatial data from multiple subregions. We use a common set of adaptive basis functions to explain the similarities…

统计方法学 · 统计学 2020-07-29 Tianbo Chen , Ying Sun , Mehdi Maadooliat

Compressive lensless imagers enable novel applications in an extremely compact device, requiring only a phase or amplitude mask placed close to the sensor. They have been demonstrated for 2D and 3D microscopy, single-shot video, and…

图像与视频处理 · 电气工程与系统科学 2021-06-23 Kristina Monakhova , Vi Tran , Grace Kuo , Laura Waller

The goal in signal compression is to reduce the size of the input signal without a significant loss in the quality of the recovered signal. One way to achieve this goal is to apply the principles of compressive sensing, but this has not…

信号处理 · 电气工程与系统科学 2020-03-09 Fereshteh Fakhar Firouzeh , John W. Chinneck , Sreeraman Rajan

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

信号处理 · 电气工程与系统科学 2018-02-21 Tamara Koljensic , Caslav Labudovic

Compressive sampling has great potential for making wideband spectrum sensing possible at sub-Nyquist sampling rates. As a result, there have recently been research efforts that leverage compressive sampling to enable efficient wideband…

信息论 · 计算机科学 2017-07-21 Bassem Khalfi , Bechir Hamdaoui , Mohsen Guizani , Nizar Zorba

In this paper, we consider the problem of recovering a sparse signal based on penalized least squares formulations. We develop a novel algorithm of primal-dual active set type for a class of nonconvex sparsity-promoting penalties, including…

最优化与控制 · 数学 2019-02-28 Jian Huang , Yuling Jiao , Bangti Jin , Jin Liu , Xiliang Lu , Can Yang

Recent years, compressive sensing (CS) has improved greatly for the application of deep learning technology. For convenience, the input image is usually measured and reconstructed block by block. This usually causes block effect in…

计算机视觉与模式识别 · 计算机科学 2018-02-02 Xuemei Xie , Chenye Wang , Jiang Du , Guangming Shi