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Compressed sensing (CS) with prior information concerns the problem of reconstructing a sparse signal with the aid of a similar signal which is known beforehand. We consider a new approach to integrate the prior information into CS via…

Information Theory · Computer Science 2017-05-23 Xu Zhang , Wei Cui , Yulong Liu

In colocated multiple-input multiple-output (MIMO) radar using compressive sensing (CS), a receive node compresses its received signal via a linear transformation, referred to as measurement matrix. The samples are subsequently forwarded to…

Information Theory · Computer Science 2015-05-27 Y. Yu , A. P. Petropulu , H. V. Poor

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

Information Theory · Computer Science 2012-05-09 Thomas Blumensath

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

We study the reconstruction of discrete-valued sparse signals from underdetermined systems of linear equations. On the one hand, classical compressed sensing (CS) is designed to deal with real-valued sparse signals. On the other hand,…

Information Theory · Computer Science 2013-10-10 Susanne Sparrer , Robert F. H. Fischer

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…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

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…

Astrophysics · Physics 2009-11-13 J. Bobin , J-L Starck , R. Ottensamer

Compressive sensing (CS) is a new approach for the acquisition and recovery of sparse signals and images that enables sampling rates significantly below the classical Nyquist rate. Despite significant progress in the theory and methods of…

Computer Vision and Pattern Recognition · Computer Science 2013-06-27 Aswin C Sankaranarayanan , Pavan K Turaga , Rama Chellappa , Richard G Baraniuk

In compressive sensing, a small collection of linear projections of a sparse signal contains enough information to permit signal recovery. Distributed compressive sensing (DCS) extends this framework by defining ensemble sparsity models,…

Information Theory · Computer Science 2013-03-29 Marco F. Duarte , Michael B. Wakin , Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

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…

Information Theory · Computer Science 2012-12-03 Duc Son Pham , Svetha Venkatesh

Compressed sensing (CS) enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampling rate is much lower than the Nyquist rate. However, the pure random sensing…

Information Theory · Computer Science 2016-11-24 Kezhi Li , Shuang Cong

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…

Statistical Mechanics · Physics 2012-08-20 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Presented is a novel way to combine snapshot compressive imaging and lateral shearing interferometry in order to capture the spatio-spectral phase of an ultrashort laser pulse in a single shot. A deep unrolling algorithm is utilised for the…

Coherent diffraction imaging (CDI) is high-resolution lensless microscopy that has been applied to image a wide range of specimens using synchrotron radiation, X-ray free electron lasers, high harmonic generation, soft X-ray laser and…

Optics · Physics 2014-01-23 Jose A Rodriguez , Rui Xu , Chien-Chun Chen , Yunfei Zou , Jianwei Miao

We advocate a compressed sensing strategy that consists of multiplying the signal of interest by a wide bandwidth modulation before projection onto randomly selected vectors of an orthonormal basis. Firstly, in a digital setting with random…

Information Theory · Computer Science 2012-03-13 Gilles Puy , Pierre Vandergheynst , Rémi Gribonval , Yves Wiaux

An algorithm based on compressive sensing (CS) is proposed for synthetic aperture radar (SAR) imaging of moving targets. The received SAR echo is decomposed into the sum of basis sub-signals, which are generated by discretizing the target…

Information Theory · Computer Science 2011-04-07 Jun Wang , Gang Li , Hao Zhang , Xiqin Wang

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

Information Theory · Computer Science 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis

Compressed sensing (CS) techniques demand significant storage and computational resources, when recovering high-dimensional sparse signals. Block CS (BCS), a special class of CS, addresses both the storage and complexity issues by…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Aron Bevelander , Kim Batselier , Nitin Jonathan Myers

Based on the maximum likelihood estimation principle, we derive a collaborative estimation framework that fuses several different estimators and yields a better estimate. Applying it to compressive sensing (CS), we propose a collaborative…

Information Theory · Computer Science 2018-04-20 Zhihui Zhu , Gang Li , Jiajun Ding , Qiuwei Li , Xiongxiong He
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