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The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

应用统计 · 统计学 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Recent advances in signal processing have focused on the use of sparse representations in various applications. A new field of interest based on sparsity has recently emerged: compressed sensing. This theory is a new sampling framework that…

天体物理学 · 物理学 2009-11-13 J. Bobin , J-L Starck , R. Ottensamer

In this paper, the theoretical analysis of compressive sensing via random filter, firstly outlined by J. Romberg [compressive sensing by random convolution, submitted to SIAM Journal on Imaging Science on July 9, 2008], has been refined or…

信息论 · 计算机科学 2008-11-04 Lianlin Li , Yin Xiang , Fang Li

Coping with noise in quantum computation poses significant challenges due to its unpredictable nature and the complexities of accurate modeling. This paper presents noise-adaptive folding, a technique that enhances zero-noise extrapolation…

量子物理 · 物理学 2025-05-08 Kathrin F. Koenig , Finn Reinecke , Thomas Wellens

This work addresses the fundamental linear inverse problem in compressive sensing (CS) by introducing a new type of regularizing generative prior. Our proposed method utilizes ideas from classical dictionary-based CS and, in particular,…

机器学习 · 统计学 2024-11-15 Benedikt Böck , Sadaf Syed , Wolfgang Utschick

Most of compressed sensing (CS) theory to date is focused on incoherent sensing, that is, columns from the sensing matrix are highly uncorrelated. However, sensing systems with naturally occurring correlations arise in many applications,…

信息论 · 计算机科学 2017-08-29 Tobias Birnbaum , Yonina C. Eldar , Deanna Needell

Compressed sensing (CS) is a concept that allows to acquire compressible signals with a small number of measurements. As such it is very attractive for hardware implementations. Therefore, correct calibration of the hardware is a central…

信息论 · 计算机科学 2015-04-30 Christophe Schülke , Francesco Caltagirone , Florent Krzakala , Lenka Zdeborová

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

信息论 · 计算机科学 2014-05-02 Armin Eftekhari , Michael B. Wakin

Power quality monitoring has become a vital need in modern power systems owing to the need for agile operation and troubleshooting scheme. On the other hand, the nature of load in modern power system is changing in many ways. Digital loads,…

系统与控制 · 电气工程与系统科学 2023-08-15 Saeed Nasiri

We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

信息论 · 计算机科学 2016-11-03 Yanting Ma , Junan Zhu , Dror Baron

Compressed sensing (CS) is an important theory for sub-Nyquist sampling and recovery of compressible data. Recently, it has been extended by Pham and Venkatesh to cope with the case where corruption to the CS data is modeled as impulsive…

信息论 · 计算机科学 2012-12-03 Duc Son Pham , Svetha Venkatesh

Compressive sensing (CS) is a technique for estimating a sparse signal from the random measurements and the measurement matrix. Traditional sparse signal recovery methods have seriously degeneration with the measurement matrix uncertainty…

信息论 · 计算机科学 2011-06-21 Yipeng Liu , Qun Wan , Fei Wen , Jia Xu , Yingning Peng

Phase modulation is a commonly used modulation mode in digital communication, which usually brings phase sparsity to digital signals. It is naturally to connect the sparsity with the newly emerged theory of compressed sensing (CS), which…

信息论 · 计算机科学 2015-01-05 Zhengli Xing , Jie Zhou , Jiangfeng Ye , Jun Yan , Lin Zou , Qun Wan

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

信息论 · 计算机科学 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

This paper introduces an algorithmic solution to a broader class of unlabeled sensing problems with multiple measurement vectors (MMV). The goal is to recover an unknown structured signal matrix, $\mathbf{X}$, from its noisy linear…

信息论 · 计算机科学 2024-06-13 Mohamed Akrout , Amine Mezghani , Faouzi Bellili

Compressive sensing (CS) is a new technology which allows the acquisition of signals directly in compressed form, using far fewer measurements than traditional theory dictates. Recently, many so-called signal space methods have been…

数值分析 · 数学 2015-11-13 Xiaoyi Gu , Deanna Needell , Shenyinying Tu

We present a computationally-efficient method for recovering sparse signals from a series of noisy observations, known as the problem of compressed sensing (CS). CS theory requires solving a convex constrained minimization problem. We…

信息论 · 计算机科学 2010-06-22 Avishy Carmi , Pini Gurfil

This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathematical framework that generalizes the three standard…

信息论 · 计算机科学 2014-06-24 Ben Adcock , Anders C. Hansen , Clarice Poon , Bogdan Roman

Compressive sensing (CS) is a signal processing technique that enables sub-Nyquist sampling and near lossless reconstruction of a sparse signal. The technique is particularly appealing for neural signal processing since it avoids the issues…

信号处理 · 电气工程与系统科学 2021-02-02 Hyunseok Park , Xilin Liu

This paper provides performance bounds for compressed sensing in the presence of Poisson noise using expander graphs. The Poisson noise model is appropriate for a variety of applications, including low-light imaging and digital streaming,…

信息论 · 计算机科学 2009-11-25 Sina Jafarpour , Rebecca Willett , Maxim Raginsky , Robert Calderbank