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Spectrum sensing is an important process in cognitive radio. A number of sensing techniques that have been proposed suffer from high processing time, hardware cost and computational complexity. To address these problems, compressive sensing…

Signal Processing · Electrical Eng. & Systems 2018-01-31 Youness Arjoune , Naima Kaabouch , Hassan El Ghazi , Ahmed Tamtaoui

We investigate the problem of reconstructing signals from a subsampled convolution of their modulated versions and a known filter. The problem is studied as applies to specific imaging systems relying on spatial phase modulation by randomly…

Information Theory · Computer Science 2016-03-23 Sohail Bahmani , Justin Romberg

The resolution of many large-scale inverse problems using MCMC methods requires a step of drawing samples from a high dimensional Gaussian distribution. While direct Gaussian sampling techniques, such as those based on Cholesky…

Methodology · Statistics 2015-06-22 Clément Gilavert , Saïd Moussaoui , Jérôme Idier

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

Signal Processing · Electrical Eng. & Systems 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

We consider the problem of selecting an optimal mask for an image manifold, i.e., choosing a subset of the pixels of the image that preserves the manifold's geometric structure present in the original data. Such masking implements a form of…

Machine Learning · Statistics 2016-06-16 Hamid Dadkhahi , Marco F. Duarte

Measurement samples are often taken in various monitoring applications. To reduce the sensing cost, it is desirable to achieve better sensing quality while using fewer samples. Compressive Sensing (CS) technique finds its role when the…

Information Theory · Computer Science 2016-11-18 Ying Li , Kun Xie , Xin Wang

Compressed sensing magnetic resonance imaging (CS-MRI) is a theoretical framework that can accurately reconstruct images from undersampled k-space data with a much lower sampling rate than the one set by the classical Nyquist-Shannon…

Medical Physics · Physics 2020-05-19 Maosong Ran , Wenjun Xia , Yongqiang Huang , Zexin Lu , Peng Bao , Yan Liu , Huaiqiang Sun , Jiliu Zhou , Yi Zhang

Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix.…

Information Theory · Computer Science 2013-10-03 Weizhi Lu , Weiyu Li , Kidiyo Kpalma , Joseph Ronsin

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

Information Theory · Computer Science 2014-03-06 Giulio Coluccia , Enrico Magli

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In diffusion MRI, it is paramount that the number of samples is as small as possible in order that scan times are practical in a clinical setting. The…

Signal Processing · Electrical Eng. & Systems 2019-02-01 Alice P. Bates , Zubair Khalid , Jason D. McEwen , Rodney A. Kennedy , Alessandro Daducci , Erick J. Canales-Rodríguez

Computational capability often falls short when confronted with massive data, posing a common challenge in establishing a statistical model or statistical inference method dealing with big data. While subsampling techniques have been…

Methodology · Statistics 2024-10-31 Yixiao Ruan , Zan Li , Zhaohui Li , Dennis K. J. Lin , Qingpei Hu , Dan Yu

Probabilistic atlas priors have been commonly used to derive adaptive and robust brain MRI segmentation algorithms. Widely-used neuroimage analysis pipelines rely heavily on these techniques, which are often computationally expensive. In…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Adrian V. Dalca , Evan Yu , Polina Golland , Bruce Fischl , Mert R. Sabuncu , Juan Eugenio Iglesias

This paper presents an adaptive image sampling algorithm based on Deep Learning (DL). The adaptive sampling mask generation network is jointly trained with an image inpainting network. The sampling rate is controlled in the mask generation…

Computer Vision and Pattern Recognition · Computer Science 2019-12-17 Qiqin Dai , Henry Chopp , Emeline Pouyet , Oliver Cossairt , Marc Walton , Aggelos K. Katsaggelos

Multi-echo magnetic resonance (MR) images are acquired by changing the echo times (for T2 weighted) or relaxation times (for T1 weighted) of scans. The resulting (multi-echo) images are usually used for quantitative MR imaging. Acquiring MR…

Machine Learning · Computer Science 2019-12-11 Vanika Singhal , Angshul Majumdar

Multidimensional data acquisition often requires extensive time and poses significant challenges for hardware and software regarding data storage and processing. Rather than designing a single compression matrix as in conventional…

Machine Learning · Computer Science 2025-03-05 Han Wang , Eduardo Pérez , Iris A. M. Huijben , Hans van Gorp , Ruud van Sloun , Florian Römer

We study an auto-calibration problem in which a transform-sparse signal is acquired via compressive sensing by multiple sensors in parallel, but with unknown calibration parameters of the sensors. This inverse problem has an important…

Optimization and Control · Mathematics 2025-10-29 Yuan Ni , Thomas Strohmer

Accelerated magnetic resonance imaging resorts to either Fourier-domain subsampling or better reconstruction algorithms to deal with fewer measurements while still generating medical images of high quality. Determining the optimal sampling…

Machine Learning · Computer Science 2023-08-30 Zhishen Huang

Compressed Sensing MRI (CS-MRI) aims at reconstructing de-aliased images from sub-Nyquist sampling k-space data to accelerate MR Imaging, thus presenting two basic issues, i.e., where to sample and how to reconstruct. To deal with both…

Image and Video Processing · Electrical Eng. & Systems 2022-07-27 Jingfen Xie , Jian Zhang , Yongbing Zhang , Xiangyang Ji