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We investigate a power-constrained sensing matrix design problem for a compressed sensing framework. We adopt a mean square error (MSE) performance criterion for sparse source reconstruction in a system where the source-to-sensor channel…

信息论 · 计算机科学 2014-09-29 Amirpasha Shirazinia , Subhrakanti Dey

We consider the problem of robust compressed sensing whose objective is to recover a high-dimensional sparse signal from compressed measurements corrupted by outliers. A new sparse Bayesian learning method is developed for robust compressed…

机器学习 · 统计学 2016-10-24 Qian Wan , Huiping Duan , Jun Fang , Hongbin Li

In underwater acoustics, shallow water environments act as modal dispersive waveguides when considering low-frequency sources. In this context, propagating signals can be described as a sum of few modal components, each of them propagating…

信号处理 · 电气工程与系统科学 2020-12-01 Clément Dorffer , Thomas Paviet-Salomon , Gilles Le Chenadec , Angélique Drémeau

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

机器学习 · 计算机科学 2025-09-16 Shane Stevenson , Maryam Sabagh

There is a growing interest in signaling schemes that operate in the wideband regime due to the crowded frequency spectrum. However, a downside of the wideband regime is that obtaining channel state information is costly, and the capacity…

信号处理 · 电气工程与系统科学 2022-06-01 Kathleen Yang , Diana C. Gonzalez , Yonina C. Eldar , Muriel Medard

In this paper, we explore the possibilities and limitations of recovering sparse signals in an online fashion. Employing a mean field approximation to the Bayes recursion formula yields an online signal recovery algorithm that can be…

信息论 · 计算机科学 2016-09-21 Paulo V. Rossi , Yoshiyuki Kabashima , Jun-ichi Inoue

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

神经元与认知 · 定量生物学 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

Compressed sensing deals with the recovery of sparse signals from linear measurements. Without any additional information, it is possible to recover an $s$-sparse signal using $m \gtrsim s \log(d/s)$ measurements in a robust and stable way.…

泛函分析 · 数学 2016-05-25 Axel Flinth

Recent research has shown that performance in signal processing tasks can often be significantly improved by using signal models based on sparse representations, where a signal is approximated using a small number of elements from a fixed…

最优化与控制 · 数学 2011-11-18 Adam S. Charles , Pierre Garrigues , Christopher J. Rozell

Compressed sensing is a paradigm within signal processing that provides the means for recovering structured signals from linear measurements in a highly efficient manner. Originally devised for the recovery of sparse signals, it has become…

信息论 · 计算机科学 2021-12-09 Jens Eisert , Axel Flinth , Benedikt Groß , Ingo Roth , Gerhard Wunder

Sparse Bayesian learning (SBL) is a popular approach to sparse signal recovery in compressed sensing (CS). In SBL, the signal sparsity information is exploited by assuming a sparsity-inducing prior for the signal that is then estimated…

信息论 · 计算机科学 2012-09-03 Zai Yang , Lihua Xie , Cishen Zhang

In this paper, we address the theoretical limitations in reconstructing sparse signals (in a known complete basis) using compressed sensing framework. We also divide the CS to non-blind and blind cases. Then, we compute the Bayesian…

信息论 · 计算机科学 2010-05-25 Hadi Zayyani , Massoud Babaie-Zadeh , Christian Jutten

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

Noiseless compressive sensing is a protocol that enables undersampling and later recovery of a signal without loss of information. This compression is possible because the signal is usually sufficiently sparse in a given basis. Currently,…

信息论 · 计算机科学 2024-07-22 D. Barbier , C Lucibello , L. Saglietti , F. Krzakala , L. Zdeborova

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

信号处理 · 电气工程与系统科学 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

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,…

信息论 · 计算机科学 2013-03-29 Marco F. Duarte , Michael B. Wakin , Dror Baron , Shriram Sarvotham , Richard G. Baraniuk

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

信息论 · 计算机科学 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

应用统计 · 统计学 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

This paper proposes a fusion-based cooperative support identification scheme for distributed compressive sparse signal recovery via resource-constrained wireless sensor networks. The proposed support identification protocol involves: (i)…

信息论 · 计算机科学 2019-07-09 Ming-Hsun Yang , Jwo-Yuh Wu , Tsang-Yi Wang , Robert G. Maunder , Rung-Hung Gau

The potential of compressed sensing for obtaining sparse time-frequency representations for gravitational wave data analysis is illustrated by comparison with existing methods, as regards i) shedding light on the fine structure of noise…

天体物理仪器与方法 · 物理学 2016-05-16 Paolo Addesso , Maurizio Longo , Stefano Marano , Vincenzo Matta , Maria Principe , Innocenzo M. Pinto