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Compressive sensing achieves effective dimensionality reduction of signals, under a sparsity constraint, by means of a small number of random measurements acquired through a sensing matrix. In a signal processing system, the problem arises…

Information Theory · Computer Science 2014-03-13 Diego Valsesia , Enrico Magli

Xampling generalizes compressed sensing (CS) to reduced-rate sampling of analog signals. A unified framework is introduced for low rate sampling and processing of signals lying in a union of subspaces. Xampling consists of two main blocks:…

Information Theory · Computer Science 2015-03-19 Moshe Mishali , Yonina C. Eldar

Deep network-based image Compressed Sensing (CS) has attracted much attention in recent years. However, the existing deep network-based CS schemes either reconstruct the target image in a block-by-block manner that leads to serious block…

Image and Video Processing · Electrical Eng. & Systems 2021-12-08 Wenxue Cui , Shaohui Liu , Feng Jiang , Debin Zhao

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. In this paper, we propose a data-driven CS framework that learns signal characteristics and individual…

Information Theory · Computer Science 2016-12-20 Kai Xu , Yuhao Wang , Yixing Li , Fengbo Ren

We consider the problem of recovering a single or multiple frequency-sparse signals, which share the same frequency components, from a subset of regularly spaced samples. The problem is referred to as continuous compressed sensing (CCS) in…

Information Theory · Computer Science 2014-10-24 Zai Yang , Lihua Xie

In deep networks, the lost data details significantly degrade the performances of image segmentation. In this paper, we propose to apply Discrete Wavelet Transform (DWT) to extract the data details during feature map down-sampling, and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Qiufu Li , Linlin Shen

In Image Compression, the researchers' aim is to reduce the number of bits required to represent an image by removing the spatial and spectral redundancies. Recently discrete wavelet transform and wavelet packet has emerged as popular…

Computer Vision and Pattern Recognition · Computer Science 2010-04-20 G. K. Kharate , V. H. Patil

Compressive Sensing, as an emerging technique in signal processing is reviewed in this paper together with its common applications. As an alternative to the traditional signal sampling, Compressive Sensing allows a new acquisition strategy…

Information Theory · Computer Science 2017-05-16 Andjela Draganic , Irena Orovic , Srdjan Stankovic

The construction of highly incoherent frames, sequences of vectors placed on the unit hyper sphere of a finite dimensional Hilbert space with low correlation between them, has proven very difficult. Algorithms proposed in the past have…

Information Theory · Computer Science 2016-11-28 Cristian Rusu , Nuria González-Prelcic

Compressed sensing (CS) is on recovery of high dimensional signals from their low dimensional linear measurements under a sparsity prior and digital quantization of the measurement data is inevitable in practical implementation of CS…

Information Theory · Computer Science 2016-08-24 Zai Yang , Lihua Xie , Cishen Zhang

Sonography techniques use multiple transducer elements for tissue visualization. Signals detected at each element are sampled prior to digital beamforming. The sampling rates required to perform high resolution digital beamforming are…

Information Theory · Computer Science 2013-07-25 Tanya Chernyakova , Yonina C. Eldar

In this letter we study the subwavelength imaging of sparse broadband sources inside a disordered medium by processing the data acquired by a single antenna. A mathematical model has been developed for solving such problem based on the idea…

Optics · Physics 2015-06-18 Lianlin Li , Fang Li , Tie Jun Cui

This work addresses the problem of extracting deeply learned features directly from compressive measurements. There has been no work in this area. Existing deep learning tools only give good results when applied on the full signal, that too…

Computer Vision and Pattern Recognition · Computer Science 2016-12-23 Shikha Singh , Vanika Singhal , Angshul Majumdar

Dimensionality reduction of ECG signals is considered within the framework of sparse representation. The approach constructs the signal model by selecting elementary components from a redundant dictionary via a greedy strategy. The proposed…

Signal Processing · Electrical Eng. & Systems 2019-06-12 Laura Rebollo-Neira , Dana Cerna

Is compressive sensing overrated? Or can it live up to our expectations? What will come after compressive sensing and sparsity? And what has Galileo Galilei got to do with it? Compressive sensing has taken the signal processing community by…

Information Theory · Computer Science 2015-06-11 Thomas Strohmer

A range of efficient wireless processes and enabling techniques are put under a magnifier glass in the quest for exploring different manifestations of correlated processes, where sub-Nyquist sampling may be invoked as an explicit benefit of…

Information Theory · Computer Science 2017-09-08 Zhen Gao , Linglong Dai , Shuangfeng Han , I Chih-Lin , Zhaocheng Wang , Lajos Hanzo

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…

Information Theory · Computer Science 2016-08-17 Samuel Birns , Bohyun Kim , Stephanie Ku , Kevin Stangl , Deanna Needell

Wavelet analysis and compression tools are reviewed and different applications to study MHD and plasma turbulence are presented. We introduce the continuous and the orthogonal wavelet transform and detail several statistical diagnostics…

Plasma Physics · Physics 2015-10-21 Marie Farge , Kai Schneider

Compressive sensing has been receiving a great deal of interest from researchers in many areas because of its ability in speeding up data acquisition. This framework allows fast signal acquisition and compression when signals are sparse in…

Information Theory · Computer Science 2020-03-17 Fatima Salahdine , Elias Ghribi , Naima Kaabouch

Compressive sensing (CS) is a method of sampling which permits some classes of signals to be reconstructed with high accuracy even when they were under-sampled. In this paper we explore a phenomenon in which bandwise CS sampling of a…

Image and Video Processing · Electrical Eng. & Systems 2019-06-28 Henry Kvinge , Elin Farnell , Julia R. Dupuis , Michael Kirby , Chris Peterson , Elizabeth C. Schundler