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We survey a new paradigm in signal processing known as "compressive sensing". Contrary to old practices of data acquisition and reconstruction based on the Shannon-Nyquist sampling principle, the new theory shows that it is possible to…

历史与综述 · 数学 2009-03-13 Olga Holtz

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

信息论 · 计算机科学 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

Due to excessive need for faster propagations of signals and necessity to reduce number of measurements and rapidly increase efficiency, new sensing theories have been proposed. Conventional sampling approaches that follow Shannon-Nyquist…

信号处理 · 电气工程与系统科学 2019-02-21 Milan Resetar , Gojko Ratkovic , Svetlana Zecevic

Compressive sensing is a technique to sample signals well below the Nyquist rate using linear measurement operators. In this paper we present an algorithm for signal reconstruction given such a set of measurements. This algorithm…

信息论 · 计算机科学 2009-06-08 Graeme Pope

Recent results from compressive sampling (CS) have demonstrated that accurate reconstruction of sparse signals often requires far fewer samples than suggested by the classical Nyquist--Shannon sampling theorem. Typically, signal…

流体动力学 · 物理学 2014-04-24 Gudmundur F. Adalsteinsson , Nicholas K. -R. Kevlahan

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

信息论 · 计算机科学 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

The Compressive Sensing (CS) as a novel acquisition approach that finds its usage in image processing. The hypothesis like this one assures signal recovery with high quality from decreased number of samples compared with the number required…

信号处理 · 电气工程与系统科学 2019-03-06 Drazen Jelic , Ana Scekic , Melvudin Hot , Nemanja Sevaljevic

Algorithms for rare event complex systems simulations are proposed. Compressed Sensing (CS) has {\it revolutionized} our understanding of limits in signal recovery and has forced us to re-define Shannon-Nyquist sampling theorem for sparse…

计算物理 · 物理学 2018-04-27 Mehmet Süzen

This paper introduces a novel framework and corresponding methods for sampling and reconstruction of sparse signals in shift-invariant (SI) spaces. We reinterpret the random demodulator, a system that acquires sparse bandlimited signals, as…

信号处理 · 电气工程与系统科学 2022-01-24 Tin Vlašić , Damir Seršić

Compressive sampling is a new paradigm for sampling, based on sparseness of signals or signal representations. It is much less restrictive than Nyquist-Shannon sampling theory and thus explains and systematises the widespread experience…

天体物理仪器与方法 · 物理学 2015-05-28 Feng Li , Tim J. Cornwell , Frank de Hoog

Compressive sensing is a sensing protocol that facilitates reconstruction of large signals from relatively few measurements by exploiting known structures of signals of interest, typically manifested as signal sparsity. Compressive…

量子物理 · 物理学 2022-08-10 Kyle Sherbert , Naveed Naimipour , Haleh Safavi , Harry Shaw , Mojtaba Soltanalian

Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement…

统计力学 · 物理学 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Signal sampling and reconstruction is a fundamental engineering task at the heart of signal processing. The celebrated Shannon-Nyquist theorem guarantees perfect signal reconstruction from uniform samples, obtained at a rate twice the…

信号处理 · 电气工程与系统科学 2020-02-19 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Mehmet Akçakaya

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

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

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

信息论 · 计算机科学 2016-02-03 Yen-Huan Li , Volkan Cevher

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

信息论 · 计算机科学 2016-11-18 Ying Li , Kun Xie , Xin Wang

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

This paper presents a tutorial for CS applications in communications networks. The Shannon's sampling theorem states that to recover a signal, the sampling rate must be as least the Nyquist rate. Compressed sensing (CS) is based on the…

网络与互联网体系结构 · 计算机科学 2014-02-07 Hong Huang , Satyajayant Misra , Wei Tang , Hajar Barani , Hussein Al-Azzawi

Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some basis) using only a small number of random measurements. Existing results in compressed sensing literature have focused on characterizing the achievable…

信息论 · 计算机科学 2015-05-18 Dmitry Malioutov , Sujay Sanghavi , Alan Willsky
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