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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

The mathematical theory of compressed sensing (CS) asserts that one can acquire signals from measurements whose rate is much lower than the total bandwidth. Whereas the CS theory is now well developed, challenges concerning hardware…

Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

计算机视觉与模式识别 · 计算机科学 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

Sparsity is a ubiquitous feature of many real world signals such as natural images and neural spiking activities. Conventional compressed sensing utilizes sparsity to recover low dimensional signal structures in high ambient dimensions…

统计理论 · 数学 2018-07-02 Abbas Kazemipour

A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2010-10-22 Guoshen Yu , Guillermo Sapiro

Compressive Sensing (CS) is a new paradigm for the efficient acquisition of signals that have sparse representation in a certain domain. Traditionally, CS has provided numerous methods for signal recovery over an orthonormal basis. However,…

信息论 · 计算机科学 2019-05-08 Jianchen Zhu , Shengjie Zhao , Qingjiang Shi , Gonzalo R. Arce

Compressive sensing (CS) exploits the sparsity present in many signals to reduce the number of measurements needed for digital acquisition. With this reduction would come, in theory, commensurate reductions in the size, weight, power…

信息论 · 计算机科学 2015-05-28 Mark A. Davenport , Jason N. Laska , John R. Treichler , Richard G. Baraniuk

Compressive sensing (CS) is an emerging sampling technology that enables reconstructing signals from a subset of measurements and even corrupted measurements. Deep learning-based compressive sensing (DCS) has improved CS performance while…

计算机视觉与模式识别 · 计算机科学 2019-12-02 Thuong , Nguyen Canh , Chien , Trinh Van

In the area of near-field millimeter-wave imaging, the generalized sparse array synthesis (SAS) method is in great demand. The traditional methods usually employ the greedy algorithms, which may have the convergence problem. This paper…

信号处理 · 电气工程与系统科学 2022-08-10 Shuoguang Wang , Shiyong Li , Ahmad Hoorfar , Ke Miao , Guoqiang Zhao , Houjun Sun

Dynamic tracking of sparse targets has been one of the important topics in array signal processing. Recently, compressed sensing (CS) approaches have been extensively investigated as a new tool for this problem using partial support…

信息论 · 计算机科学 2011-10-04 Jong Min Kim , Ok Kyun Lee , Jong Chul Ye

Limitations on bandwidth and power consumption impose strict bounds on data rates of diagnostic imaging systems. Consequently, the design of suitable (i.e. task- and data-aware) compression and reconstruction techniques has attracted…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Kees Janse , Massimo Mischi , Ruud J. G. van Sloun

This paper presents a novel power spectral density estimation technique for band-limited, wide-sense stationary signals from sub-Nyquist sampled data. The technique employs multi-coset sampling and incorporates the advantages of compressed…

信息论 · 计算机科学 2012-05-18 Michael A. Lexa , Mike E. Davies , John S. Thompson

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

机器学习 · 计算机科学 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Simultaneous sparse approximation is a generalization of the standard sparse approximation, for simultaneously representing a set of signals using a common sparsity model. Generalizing the compressive sensing concept to the simultaneous…

信息论 · 计算机科学 2018-09-18 Arash Golibagh Mahyari , Selin Aviyente

Recent breakthrough results in compressed sensing (CS) have established that many high dimensional objects can be accurately recovered from a relatively small number of non- adaptive linear projection observations, provided that the objects…

机器学习 · 统计学 2011-11-30 Akshay Soni , Jarvis Haupt

As a paradigm to recover the sparse signal from a small set of linear measurements, compressed sensing (CS) has stimulated a great deal of interest in recent years. In order to apply the CS techniques to wireless communication systems,…

信息论 · 计算机科学 2016-12-21 Jun Won Choi , Byonghyo Shim , Yacong Ding , Bhaskar Rao , Dong In Kim

Compressed sensing is a powerful tool in applications such as magnetic resonance imaging (MRI). It enables accurate recovery of images from highly undersampled measurements by exploiting the sparsity of the images or image patches in a…

机器学习 · 统计学 2016-10-04 Saiprasad Ravishankar , Yoram Bresler

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

信息论 · 计算机科学 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

Compressed sensing is an imaging paradigm that allows one to invert an underdetermined linear system by imposing the a priori knowledge that the sought after solution is sparse (i.e., mostly zeros). Previous works have shown that if one…

图像与视频处理 · 电气工程与系统科学 2023-12-05 Nicholas Dwork , Erin K. Englund

Compressed sensing (CS) is a promising approach to reduce the number of measurements in photoacoustic tomography (PAT) while preserving high spatial resolution. This allows to increase the measurement speed and to reduce system costs.…