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Based on the methodological similarity between sparse signal reconstruction and system identification, a new approach for sparse signal reconstruction in compressive sensing (CS) is proposed in this paper. This approach employs a stochastic…

信息论 · 计算机科学 2015-06-15 Jian Jin , Yuantao Gu , Shunliang Mei

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

信息论 · 计算机科学 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

In remote control, efficient compression or representation of control signals is essential to send them through rate-limited channels. For this purpose, we propose an approach of sparse control signal representation using the compressive…

系统与控制 · 计算机科学 2015-06-16 Masaaki Nagahara , Takahiro Matsuda , Kazunori Hayashi

The application of Compressive sensing approach to the speech and musical signals is considered in this paper. Compressive sensing (CS) is a new approach to the signal sampling that allows signal reconstruction from a small set of randomly…

声音 · 计算机科学 2015-02-06 Trifun Savic , Radoje Albijanic

In this paper, we present an approach to the reconstruction of signals exhibiting sparsity in a transformation domain, having some heavily disturbed samples. This sparsity-driven signal recovery exploits a carefully suited random sampling…

信息论 · 计算机科学 2020-03-30 Ljubisa Stankovic , Milos Brajovic , Isidora Stankovic , Jonatan Lerga , Milos Dakovic

This thesis consists of original contributions in the area of digital signal processing. The reconstruction of signals sparse (highly concentrated) in various transform domains is the primary problem analyzed in the thesis. The considered…

信号处理 · 电气工程与系统科学 2019-09-19 Milos Brajovic

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

信息论 · 计算机科学 2023-08-31 Il Yong Chun , Ben Adcock

Compressed sensing has a wide range of applications that include error correction, imaging, radar and many more. Given a sparse signal in a high dimensional space, one wishes to reconstruct that signal accurately and efficiently from a…

数值分析 · 数学 2009-05-28 Deanna Needell

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

信息论 · 计算机科学 2014-08-27 Peter Jung , Philipp Walk

Existing approaches to compressive sensing of frequency-sparse signals focuses on signal recovery rather than spectral estimation. Furthermore, the recovery performance is limited by the coherence of the required sparsity dictionaries and…

信息论 · 计算机科学 2013-05-22 Karsten Fyhn , Hamid Dadkhahi , Marco F. Duarte

Compressed sensing (CS) provides an elegant framework for recovering sparse signals from compressed measurements. For example, CS can exploit the structure of natural images and recover an image from only a few random measurements. CS is…

机器学习 · 计算机科学 2019-05-21 Yan Wu , Mihaela Rosca , Timothy Lillicrap

The problem of recovering signals of high complexity from low quality sensing devices is analyzed via a combination of tools from signal processing and harmonic analysis. By using the rich structure offered by the recent development in…

信息论 · 计算机科学 2020-03-16 Roza Aceska , Jean-Luc Bouchot , Shidong Li

Advances in compressive sensing provided reconstruction algorithms of sparse signals from linear measurements with optimal sample complexity, but natural extensions of this methodology to nonlinear inverse problems have been met with…

信息论 · 计算机科学 2020-08-25 Paul Hand , Oscar Leong , Vladislav Voroninski

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

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

信息论 · 计算机科学 2015-07-03 Yipeng Liu

The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

计算机视觉与模式识别 · 计算机科学 2018-03-01 Leonid P. Yaroslavsky

Compressed sensing provides an efficient framework for reconstructing wave signals from reduced measurements. For multi-channel buoy data, the three displacement components exhibit intrinsic correlations, as wave motion contributes…

地球物理 · 物理学 2026-05-26 Qingyu Jiang , Henrik Kalisch , Michel Benoit , Karoline Holand , Patrick Sprenger

Quadrature compressive sampling (QuadCS) is a sub-Nyquist sampling scheme for acquiring in-phase and quadrature (I/Q) components in radar. In this scheme, the received intermediate frequency (IF) signals are expressed as a linear…

信息论 · 计算机科学 2015-03-03 Feng Xi , Shengyao Chen , Yimin D. Zhang , Zhong Liu

We propose new compressive parameter estimation algorithms that make use of polar interpolation to improve the estimator precision. Our work extends previous approaches involving polar interpolation for compressive parameter estimation in…

信息论 · 计算机科学 2016-11-17 Karsten Fyhn , Marco F. Duarte , Søren Holdt Jensen

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