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Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

数值分析 · 数学 2014-04-02 Guangliang Chen , Atul Divekar , Deanna Needell

Compressed sensing of simultaneously sparse and low-rank matrices enables recovery of sparse signals from a few linear measurements of their bilinear form. One important question is how many measurements are needed for a stable…

信息论 · 计算机科学 2016-07-01 Kiryung Lee , Yihong Wu , Yoram Bresler

The choice of the sensing matrix is crucial in compressed sensing. Random Gaussian sensing matrices satisfy the restricted isometry property, which is crucial for solving the sparse recovery problem using convex optimization techniques.…

信号处理 · 电气工程与系统科学 2023-12-29 Kartheek Kumar Reddy Nareddy , Abijith Jagannath Kamath , Chandra Sekhar Seelamantula

Reliable and energy-efficient wireless data transmission remains a major challenge in resource-constrained wireless neural recording tasks, where data compression is generally adopted to relax the burdens on the wireless data link.…

信息论 · 计算机科学 2016-02-02 Biao Sun , Wenfeng Zhao , Xinshan Zhu

Compressed sensing is a signal processing scheme that reconstructs high-dimensional sparse signals from a limited number of observations. In recent years, various problems involving signals with a finite number of discrete values have been…

统计力学 · 物理学 2024-08-20 Mikiya Doi , Masayuki Ohzeki

Signals sparse in a transformation domain can be recovered from a reduced set of randomly positioned samples by using compressive sensing algorithms. Simple re- construction algorithms are presented in the first part of the paper. The…

信息论 · 计算机科学 2015-12-08 Ljubisa Stankovic , Isidora Stankovic

The performance of existing approaches to the recovery of frequency-sparse signals from compressed measurements is limited by the coherence of required sparsity dictionaries and the discretization of frequency parameter space. In this…

信息论 · 计算机科学 2014-07-15 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Zenghui Zhang , Peilin Liu , Wenxian Yu

We study the problem of recovering sparse signals from compressed linear measurements. This problem, often referred to as sparse recovery or sparse reconstruction, has generated a great deal of interest in recent years. To recover the…

统计方法学 · 统计学 2016-01-01 Jian Wang , Ping Li

Sparse representation using over-complete dictionaries have shown to produce good quality results in various image processing tasks. Dictionary learning algorithms have made it possible to engineer data adaptive dictionaries which have…

图像与视频处理 · 电气工程与系统科学 2019-11-11 Nishant Deepak Keni , Amol Mangirish Singbal , Rizwan Ahmed

The goal of compressed sensing is to reconstruct a sparse signal under a few linear measurements far less than the dimension of the ambient space of the signal. However, many real-life applications in physics and biomedical sciences carry…

最优化与控制 · 数学 2017-08-29 Angang Cui , Jigen Peng , Haiyang Li

This paper investigates the problem of recovering the support of structured signals via adaptive compressive sensing. We examine several classes of structured support sets, and characterize the fundamental limits of accurately recovering…

统计理论 · 数学 2016-09-05 Rui M. Castro , Ervin Tánczos

In this letter, we propose a sparsity promoting feedback acquisition and reconstruction scheme for sensing, encoding and subsequent reconstruction of spectrally sparse signals. In the proposed scheme, the spectral components are estimated…

信息论 · 计算机科学 2017-11-28 Mahdi Boloursaz Mashhadi , Saeed Gazor , Nazanin Rahnavard , Farokh Marvasti

Compressive Sensing has been utilized in Cognitive Radio Networks (CRNs) to exploit the sparse nature of the occupation of the primary users. Also, distributed spectrum sensing has been proposed to tackle the wireless channel problems, like…

信息论 · 计算机科学 2016-06-14 Mohamed Seif , Tamer Elbatt , Karim G. Seddik

In this paper we present a new algorithm for compressive sensing that makes use of binary measurement matrices and achieves exact recovery of ultra sparse vectors, in a single pass and without any iterations. Due to its noniterative nature,…

信息论 · 计算机科学 2018-05-22 Mahsa Lotfi , Mathukumalli Vidyasagar

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

The sparse signal recovery in the standard compressed sensing (CS) problem requires that the sensing matrix be known a priori. Such an ideal assumption may not be met in practical applications where various errors and fluctuations exist in…

信息论 · 计算机科学 2015-06-03 Zai Yang , Cishen Zhang , Lihua Xie

Compressed sensing is a technique for recovering a high-dimensional signal from lower-dimensional data, whose components represent partial information about the signal, utilizing prior knowledge on the sparsity of the signal. For further…

信息论 · 计算机科学 2014-02-18 Yingying Xu , Yoshiyuki Kabashima

In this paper we consider the problem of sparse signal recovery in Multiple Measurement Vectors (MMVs) case. Recently, ample researches have been conducted to solve this problem and diverse methods are proposed, one of which is deep neural…

信号处理 · 电气工程与系统科学 2018-06-26 Zohreh Mohades , Vahid TabaTabaVakili

One-bit compressive sensing (CS) is an advanced version of sparse recovery in which the sparse signal of interest can be recovered from extremely quantized measurements. Namely, only the sign of each measurement is available to us. In many…

信息论 · 计算机科学 2019-10-22 Hossein Beheshti , Sajad Daei , Farzan Haddadi

The joint-sparse recovery problem aims to recover, from sets of compressed measurements, unknown sparse matrices with nonzero entries restricted to a subset of rows. This is an extension of the single-measurement-vector (SMV) problem widely…

信息论 · 计算机科学 2018-08-23 Ewout van den Berg , Michael P. Friedlander