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Compressed Sensing (CS) is a novel technique for simultaneous signal sampling and compression based on the existence of a sparse representation of signal and a projected dictionary $PD$, where $P\in\mathbb{R}^{m\times d}$ is the projection…

信息论 · 计算机科学 2018-04-25 Canyi Lu , Huan Li , Zhouchen Lin

This paper introduces a novel framework for single-pixel imaging via compressive sensing (CS) in shift-invariant (SI) spaces by exploiting the sparsity property of a wavelet representation. We reinterpret the acquisition procedure of a…

图像与视频处理 · 电气工程与系统科学 2022-04-19 Tin Vlašić , Damir Seršić

This paper considers efficient sampling of simultaneously sparse and correlated (S$\&$C) signals. Such signals arise in various applications in array processing. We propose an implementable sampling architecture for the acquisition of…

信息论 · 计算机科学 2023-01-19 Ali Ahmed , Fahad Shamshad , Humera Hameed

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

Recently, deep network-based image compressed sensing methods achieved high reconstruction quality and reduced computational overhead compared with traditional methods. However, existing methods obtain measurements only from partial…

计算机视觉与模式识别 · 计算机科学 2022-06-24 Zi-En Fan , Feng Lian , Jia-Ni Quan

A method to improve l1 performance of the CS (Compressive Sampling) for A-scan SFCW-GPR (Stepped Frequency Continuous Wave-Ground Penetrating Radar) signals with known spectral energy density is proposed. Instead of random sampling, the…

信息论 · 计算机科学 2013-11-05 Andriyan Bayu Suksmono

The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

信息论 · 计算机科学 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

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

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

Compressed sensing is a theory which guarantees the exact recovery of sparse signals from a small number of linear projections. The sampling schemes suggested by current compressed sensing theories are often of little practical relevance…

信息论 · 计算机科学 2014-07-22 Jérémie Bigot , Claire Boyer , Pierre Weiss

Gaussian random matrix (GRM) has been widely used to generate linear measurements in compressed sensing (CS) of natural images. However, there actually exist two disadvantages with GRM in practice. One is that GRM has large memory…

计算机视觉与模式识别 · 计算机科学 2018-06-20 Wenxue Cui , Feng Jiang , Xinwei Gao , Wen Tao , Debin Zhao

A pre-trained generator has been frequently adopted in compressed sensing (CS) due to its ability to effectively estimate signals with the prior of NNs. In order to further refine the NN-based prior, we propose a framework that allows the…

机器学习 · 计算机科学 2020-11-03 Kyung-Su Kim , Jung Hyun Lee , Eunho Yang

Compressive Sensing (CS) method is a burgeoning technique being applied to diverse areas including wireless sensor networks (WSNs). In WSNs, it has been studied in the context of data gathering and aggregation, particularly aimed at…

分布式、并行与集群计算 · 计算机科学 2012-10-16 Xi Xu , Rashid Ansari , Ashfaq Khokhar

This paper introduces a sparse projection matrix composed of discrete (digital) periodic lines that create a pseudo-random (p.frac) sampling scheme. Our approach enables random Cartesian sampling whilst employing deterministic and…

图像与视频处理 · 电气工程与系统科学 2024-01-09 Marlon Bran Lorenzana , Benjamin Cottier , Matthew Marques , Andrew Kingston , Shekhar S. Chandra

The recovery of structured signals from a few linear measurements is a central point in both compressed sensing (CS) and discrete tomography. In CS the signal structure is described by means of a low complexity model e.g. co-/sparsity. The…

最优化与控制 · 数学 2018-12-31 Jan Kuske , Stefania Petra

In this article, we address the problem of reducing the number of required samples for Spherical Near-Field Antenna Measurements (SNF) by using Compressed Sensing (CS). A condition to ensure the numerical performance of sparse recovery…

信息论 · 计算机科学 2023-02-10 Arya Bangun , Cosme Culotta-López

The standard approach to compressive sampling considers recovering an unknown deterministic signal with certain known structure, and designing the sub-sampling pattern and recovery algorithm based on the known structure. This approach…

信息论 · 计算机科学 2016-02-03 Yen-Huan Li , Volkan Cevher

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

图像与视频处理 · 电气工程与系统科学 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

In recent years, it has been found that screen content images (SCI) can be effectively compressed based on appropriate probability modelling and suitable entropy coding methods such as arithmetic coding. The key objective is determining the…

图像与视频处理 · 电气工程与系统科学 2023-05-11 Shabhrish Reddy Uddehal , Tilo Strutz , Hannah Och , André Kaup

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
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