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We propose a compressive sensing algorithm that exploits geometric properties of images to recover images of high quality from few measurements. The image reconstruction is done by iterating the two following steps: 1) estimation of normal…

计算机视觉与模式识别 · 计算机科学 2015-06-11 Virginia Estellers , Jean-Philippe Thiran , Xavier Bresson

Compressed sensing (CS) is a new signal acquisition paradigm that enables the reconstruction of signals and images from a low number of samples. A particularly exciting application of CS is Magnetic Resonance Imaging (MRI), where CS…

信息论 · 计算机科学 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

Classical compressed sensing (CS) allows us to recover structured signals from far few linear measurements than traditionally prescribed, thereby efficiently decreasing sampling rates. However, if there exist nonlinearities in the…

信息论 · 计算机科学 2015-06-09 Jiawang Yi , Guanzheng Tan

Exploiting intrinsic structures in sparse signals underpins the recent progress in compressive sensing (CS). The key for exploiting such structures is to achieve two desirable properties: generality (\ie, the ability to fit a wide range of…

信号处理 · 电气工程与系统科学 2018-12-26 Suwichaya Suwanwimolkul , Lei Zhang , Dong Gong , Zhen Zhang , Chao Chen , Damith C. Ranasinghe , Qinfeng Shi

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

信号处理 · 电气工程与系统科学 2021-10-15 Michael Koller , Wolfgang Utschick

This paper presents a tutorial for CS applications in communications networks. The Shannon's sampling theorem states that to recover a signal, the sampling rate must be as least the Nyquist rate. Compressed sensing (CS) is based on the…

网络与互联网体系结构 · 计算机科学 2014-02-07 Hong Huang , Satyajayant Misra , Wei Tang , Hajar Barani , Hussein Al-Azzawi

Compressive sampling has become a widely used approach to construct polynomial chaos surrogates when the number of available simulation samples is limited. Originally, these expensive simulation samples would be obtained at random locations…

统计计算 · 统计学 2018-07-04 Negin Alemazkoor , Hadi Meidani

Compressed sensing (CS) schemes are proposed for monostatic as well as synthetic aperture radar (SAR) imaging with chirped signals and Ultra-Narrowband (UNB) continuous waveforms. In particular, a simple, perturbation method is developed to…

数据分析、统计与概率 · 物理学 2015-06-11 Albert Fannjiang , Hsiao-Chieh Tseng

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. Hence, CS can be thought of as a natural candidate for acquisition of multidimensional signals, as the…

信息论 · 计算机科学 2014-03-06 Giulio Coluccia , Simeon Kamden-Kuiteng , Andrea Abrardo , Mauro Barni , Enrico Magli

Natural signals and images are well-known to be approximately sparse in transform domains such as Wavelets and DCT. This property has been heavily exploited in various applications in image processing and medical imaging. Compressed sensing…

机器学习 · 计算机科学 2015-10-26 Saiprasad Ravishankar , Yoram Bresler

Compressive sensing (CS) is a new signal acquisition paradigm which shows that far fewer samples are required to reconstruct sparse signals than previously thought. Although most of the literature focuses on signals sparse in a fixed…

Wideband spectrum sensing detects the unused spectrum holes for dynamic spectrum access (DSA). Too high sampling rate is the main problem. Compressive sensing (CS) can reconstruct sparse signal with much fewer randomized samples than…

信息论 · 计算机科学 2012-04-16 Yipeng Liu , Qun Wan

Compressed Sensing (CS) theory simultaneously realizes the signal sampling and compression process, and can use fewer observations to achieve accurate signal recovery, providing a solution for better and faster transmission of massive data.…

信号处理 · 电气工程与系统科学 2021-06-25 Guanxiong Nie , Yajian Zhou

Many communication systems involve high bandwidth, while sparse, radio frequency (RF) signals. Working with high frequency signals requires appropriate system-level components such as high-speed analog-to-digital converters (ADC). In…

信息论 · 计算机科学 2015-03-03 Morteza Hashemi

The newly emerging theory of compressed sensing (CS) enables restoring a sparse signal from inadequate number of linear projections. Based on compressed sensing theory, a new algorithm of high-resolution range profiling for…

信息论 · 计算机科学 2010-11-19 Yang Hu , Yimin Liu , Huadong Meng , Xiqin Wang

We demonstrate that a sparse signal can be estimated from the phase of complex random measurements, in a "phase-only compressive sensing" (PO-CS) scenario. With high probability and up to a global unknown amplitude, we can perfectly recover…

信息论 · 计算机科学 2020-11-13 Laurent Jacques , Thomas Feuillen

For wideband spectrum sensing, compressive sensing has been proposed as a solution to speed up the high dimensional signals sensing and reduce the computational complexity. Compressive sensing consists of acquiring the essential information…

信号处理 · 电气工程与系统科学 2018-02-13 Fatima Salahdine , Naima Kaabouch , Hassan El Ghazi

Recovery of the sparsity pattern (or support) of an unknown sparse vector from a limited number of noisy linear measurements is an important problem in compressed sensing. In the high-dimensional setting, it is known that recovery with a…

信息论 · 计算机科学 2012-06-26 Galen Reeves , Michael Gastpar

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

信号处理 · 电气工程与系统科学 2018-02-21 Tamara Koljensic , Caslav Labudovic

In signal processing and data recovery, reconstructing a signal from quadratic measurements poses a significant challenge, particularly in high-dimensional settings where measurements $m$ is far less than the signal dimension $n$ (i.e., $m…

信息论 · 计算机科学 2025-07-11 Jinming Wen , Yi Hu , Meng Huang