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A new framework of compressive sensing (CS), namely statistical compressive sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution and achieving accurate reconstruction on average, is…

计算机视觉与模式识别 · 计算机科学 2010-10-22 Guoshen Yu , Guillermo Sapiro

Compressed sensing typically deals with the estimation of a system input from its noise-corrupted linear measurements, where the number of measurements is smaller than the number of input components. The performance of the estimation…

信息论 · 计算机科学 2016-11-17 Jin Tan , Danielle Carmon , Dror Baron

Recent research in off-the-grid compressed sensing (CS) has demonstrated that, under certain conditions, one can successfully recover a spectrally sparse signal from a few time-domain samples even though the dictionary is continuous. In…

信息论 · 计算机科学 2013-11-08 Kumar Vijay Mishra , Myung Cho , Anton Kruger , Weiyu Xu

Compressive sensing (CS) has recently emerged as an extremely efficient technology of the wideband spectrum sensing. In compressive spectrum sensing (CSS), it is necessary to know the sparsity or the noise information in advance for…

信号处理 · 电气工程与系统科学 2022-11-15 Liyang Lu , Wenbo Xu , Yue Wang , Zhi Tian

Spatial multiplexing cameras (SMCs) acquire a (typically static) scene through a series of coded projections using a spatial light modulator (e.g., a digital micro-mirror device) and a few optical sensors. This approach finds use in imaging…

计算机视觉与模式识别 · 计算机科学 2015-08-06 Aswin C. Sankaranarayanan , Lina Xu , Christoph Studer , Yun Li , Kevin Kelly , Richard G. Baraniuk

Compressed sensing deals with the reconstruction of sparse signals using a small number of linear measurements. One of the main challenges in compressed sensing is to find the support of a sparse signal. In the literature, several bounds on…

信息论 · 计算机科学 2009-11-26 Ali Hormati , Amin Karbasi , Soheil Mohajer , Martin Vetterli

Compressed sensing (sparse signal recovery) has been a popular and important research topic in recent years. By observing that natural signals are often nonnegative, we propose a new framework for nonnegative signal recovery using…

统计方法学 · 统计学 2013-10-04 Ping Li , Cun-Hui Zhang , Tong Zhang

The recent advances in machine learning and deep neural networks have made them attractive candidates for wireless communications functions such as channel estimation, decoding, and downlink channel state information (CSI) compression.…

网络与互联网体系结构 · 计算机科学 2023-11-15 Omar Erak , Hatem Abou-Zeid

Conventional compressive sensing (CS) reconstruction is very slow for its characteristic of solving an optimization problem. Convolu- tional neural network can realize fast processing while achieving compa- rable results. While CS image…

计算机视觉与模式识别 · 计算机科学 2017-10-04 Xuemei Xie , Yuxiang Wang , Guangming Shi , Chenye Wang , Jiang Du , Zhifu Zhao

Turbo compressed sensing (Turbo-CS) is an efficient iterative algorithm for sparse signal recovery with partial orthogonal sensing matrices. In this paper, we extend the Turbo-CS algorithm to solve compressed sensing problems involving more…

信息论 · 计算机科学 2017-03-28 Zhipeng Xue , Junjie Ma , Xiaojun Yuan

Compressed sensing (CS) is a powerful tool for reducing the amount of data to be collected while maintaining high spatial resolution. Such techniques work well in practice and at the same time are supported by solid theory. Standard CS…

信息论 · 计算机科学 2022-12-28 Andrea Ebner , Markus Haltmeier

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

计算机视觉与模式识别 · 计算机科学 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

In this work we present a deep learning framework for video compressive sensing. The proposed formulation enables recovery of video frames in a few seconds at significantly improved reconstruction quality compared to previous approaches.…

计算机视觉与模式识别 · 计算机科学 2017-12-19 Michael Iliadis , Leonidas Spinoulas , Aggelos K. Katsaggelos

Compressed sensing (CS) is a signal processing technique that enables the efficient recovery of a sparse high-dimensional signal from low-dimensional measurements. In the multiple measurement vector (MMV) framework, a set of signals with…

信号处理 · 电气工程与系统科学 2022-06-08 Pavan K. Kota , Daniel LeJeune , Rebekah A. Drezek , Richard G. Baraniuk

Magnetic Resonance Imaging (MRI) is one of the most dynamic and safe imaging techniques available for clinical applications. However, the rather slow speed of MRI acquisitions limits the patient throughput and potential indi cations.…

计算机视觉与模式识别 · 计算机科学 2018-11-14 Risheng Liu , Yuxi Zhang , Shichao Cheng , Xin Fan , Zhongxuan Luo

Recent results from compressive sampling (CS) have demonstrated that accurate reconstruction of sparse signals often requires far fewer samples than suggested by the classical Nyquist--Shannon sampling theorem. Typically, signal…

流体动力学 · 物理学 2014-04-24 Gudmundur F. Adalsteinsson , Nicholas K. -R. Kevlahan

Compressed sensing (CS) MRI relies on adequate undersampling of the k-space to accelerate the acquisition without compromising image quality. Consequently, the design of optimal sampling patterns for these k-space coefficients has received…

图像与视频处理 · 电气工程与系统科学 2021-01-26 Iris A. M. Huijben , Bastiaan S. Veeling , Ruud J. G. van Sloun

We have developed an approximate signal recovery algorithm with low computational cost for compressed sensing on the basis of randomly constructed sparse measurement matrices. The law of large numbers and the central limit theorem suggest…

信息论 · 计算机科学 2011-02-21 Yoshiyuki Kabashima , Tadashi Wadayama

This paper considers a compressive sensing (CS) approach for hyperspectral data acquisition, which results in a practical compression ratio substantially higher than the state-of-the-art. Applying simultaneous low-rank and joint-sparse…

信息论 · 计算机科学 2016-07-13 Yangqing Li , Saurabh Prasad , Wei Chen , Changchuan Yin , Zhu Han

The paper introduces a framework for the recoverability analysis in compressive sensing for imaging applications such as CI cameras, rapid MRI and coded apertures. This is done using the fact that the Spherical Section Property (SSP) of a…

信息论 · 计算机科学 2012-12-07 Mahdi S. Hosseini , Konstantinos N. Plataniotis