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We study compressed sensing (CS) signal reconstruction problems where an input signal is measured via matrix multiplication under additive white Gaussian noise. Our signals are assumed to be stationary and ergodic, but the input statistics…

信息论 · 计算机科学 2014-10-22 Yanting Ma , Junan Zhu , Dror Baron

The many variants of the restricted isometry property (RIP) have proven to be crucial theoretical tools in the fields of compressed sensing and matrix completion. The study of extending compressed sensing to accommodate phaseless…

信息论 · 计算机科学 2014-04-16 Vladislav Voroninski , Zhiqiang Xu

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

信息论 · 计算机科学 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

In this paper, we investigate a Bayesian sparse reconstruction algorithm called compressive sensing via Bayesian support detection (CS-BSD). This algorithm is quite robust against measurement noise and achieves the performance of a minimum…

信息论 · 计算机科学 2012-05-15 Jaewook Kang , Heung-No Lee , Kiseon Kim

Compressed Sensing refers to extracting a low-dimensional structured signal of interest from its incomplete random linear observations. A line of recent work has studied that, with the extra prior information about the signal, one can…

信息论 · 计算机科学 2017-04-19 Sajad Daei , Farzan Haddadi

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.…

Compressed Sensing aims to capture attributes of $k$-sparse signals using very few measurements. In the standard Compressed Sensing paradigm, the $\m\times \n$ measurement matrix $\A$ is required to act as a near isometry on the set of all…

信息论 · 计算机科学 2015-05-14 Robert Calderbank , Stephen Howard , Sina Jafarpour

In x-ray computed tomography (CT) it is generally acknowledged that reconstruction methods exploiting image sparsity allow reconstruction from a significantly reduced number of projections. The use of such reconstruction methods is…

数值分析 · 数学 2014-08-05 Jakob S. Jørgensen , Emil Y. Sidky , Per Christian Hansen , Xiaochuan Pan

Deep learning has been used to image compressive sensing (CS) for enhanced reconstruction performance. However, most existing deep learning methods train different models for different subsampling ratios, which brings additional hardware…

计算机视觉与模式识别 · 计算机科学 2021-01-25 Zhonghao Zhang , Yipeng Liu , Xingyu Cao , Fei Wen , Ce Zhu

This work investigates a practical reconfigurable intelligent surface (RIS)-aided integrated sensing and communication (ISAC) system, where a subset of RIS elements fail to function properly and reflect incident signals randomly towards…

信号处理 · 电气工程与系统科学 2025-11-03 Lu Wang , Gui Zhou , Changheng Li , Luis F. Abanto-Leon , Nairy Moghadas Gholian , Matthias Hollick , Arash Asadi

Compressed sensing is by now well-established as an effective tool for extracting sparsely distributed information, where sparsity is a discrete concept, referring to the number of dominant nonzero signal components in some basis for the…

信息论 · 计算机科学 2015-06-15 Dinesh Ramasamy , Sriram Venkateswaran , Upamanyu Madhow

Compressed sensing (CS) is a powerful method routinely employed to accelerate image acquisition. It is particularly suited to situations when the image under consideration is sparse but can be sampled in a basis where it is non-sparse. Here…

图像与视频处理 · 电气工程与系统科学 2022-07-18 Xudong Lv , Ashok Ajoy

From many fewer acquired measurements than suggested by the Nyquist sampling theory, compressive sensing (CS) theory demonstrates that, a signal can be reconstructed with high probability when it exhibits sparsity in some domain. Most of…

计算机视觉与模式识别 · 计算机科学 2014-05-01 Jian Zhang , Chen Zhao , Debin Zhao , Wen Gao

In structural health monitoring (SHM) systems, massive amounts of data are often generated that need data compression techniques to reduce the cost of signal transfer and storage. Compressive sensing (CS) is a novel data acquisition method…

应用统计 · 统计学 2014-12-16 Yong Huang , James L. Beck , Stephen Wu , Hui Li

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

计算复杂性 · 计算机科学 2011-10-18 Pascal Koiran , Anastasios Zouzias

This paper considers the problem of detecting a high dimensional signal (not necessarily sparse) based on compressed measurements with physical layer secrecy guarantees. First, we propose a collaborative compressive detection (CCD)…

应用统计 · 统计学 2015-02-19 Bhavya Kailkhura , Thakshila Wimalajeewa , Pramod K. Varshney

Compressive sensing is a signal processing technique that enables the reconstruction of sparse signals from a limited number of measurements, leveraging the signal's inherent sparsity to facilitate efficient recovery. Recent works on the…

量子物理 · 物理学 2025-01-22 Naveed Naimipour , Collin Frink , Harry Shaw , Haleh Safavi , Mojtaba Soltanalian

The problem of compressing a real-valued sparse source using compressive sensing techniques is studied. The rate distortion optimality of a coding scheme in which compressively sensed signals are quantized and then reconstructed is…

信息论 · 计算机科学 2010-11-09 Rajiv Soundararajan , Sriram Vishwanath

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…

In this paper, a compressive sensing (CS) approach is proposed for sparse binary signals' compression and reconstruction based on analog fountain codes (AFCs). In the proposed scheme, referred to as the analog fountain compressive sensing…

信息论 · 计算机科学 2018-07-13 Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic , Jinhong Yuan