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Fetal ECG (FECG) telemonitoring is an important branch in telemedicine. The design of a telemonitoring system via a wireless body-area network with low energy consumption for ambulatory use is highly desirable. As an emerging technique,…

Machine Learning · Statistics 2015-03-20 Zhilin Zhang , Tzyy-Ping Jung , Scott Makeig , Bhaskar D. Rao

Random sampling in compressive sensing (CS) enables the compression of large amounts of input signals in an efficient manner, which is useful for many applications. CS reconstructs the compressed signals exactly with overwhelming…

Information Theory · Computer Science 2016-03-22 Dongeun Lee , Rafael Lima , Jaesik Choi

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

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

Information Theory · Computer Science 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

This letter proposes a novel distributed compressed estimation scheme for sparse signals and systems based on compressive sensing techniques. The proposed scheme consists of compression and decompression modules inspired by compressive…

Information Theory · Computer Science 2015-02-05 S. Xu , R. C. de Lamare , H. V. Poor

Compressed Sensing (CS) is an effective approach to reduce the required number of samples for reconstructing a sparse signal in an a priori basis, but may suffer severely from the issue of basis mismatch. In this paper we study the problem…

Information Theory · Computer Science 2014-02-04 Yuejie Chi

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

Compressive sensing (CS) has been widely used for the data gathering in wireless sensor networks for the purpose of reducing the communication overhead recent years. In this paper, we first show that with simple modification, 1-bit…

Networking and Internet Architecture · Computer Science 2014-01-08 Jiping Xiong , Qinghua Tang , Jian Zhao

The article concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by $\ell_1$ norm minimization - a sparse quaternion signal from a limited number of its real linear…

Functional Analysis · Mathematics 2016-05-26 Agnieszka Badenska , Łukasz Błaszczyk

Compressive Sensing (CS) exploits the surprising fact that the information contained in a sparse signal can be preserved in a small number of compressive, often random linear measurements of that signal. Strong theoretical guarantees have…

Information Theory · Computer Science 2014-05-02 Armin Eftekhari , Michael B. Wakin

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

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

Information Theory · Computer Science 2013-06-11 Atul Divekar , Deanna Needell

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

The goal of compressed sensing is to estimate a vector from an underdetermined system of noisy linear measurements, by making use of prior knowledge on the structure of vectors in the relevant domain. For almost all results in this…

Machine Learning · Statistics 2017-03-10 Ashish Bora , Ajil Jalal , Eric Price , Alexandros G. Dimakis

In the theory of compressed sensing, restricted isometry analysis has become a standard tool for studying how efficiently a measurement matrix acquires information about sparse and compressible signals. Many recovery algorithms are known to…

Information Theory · Computer Science 2014-04-29 Holger Rauhut , Justin Romberg , Joel A. Tropp

Virtually, every ab-initio electronic structure method (Coupled Cluster, DMRG, etc.) can be viewed as an algorithm to compress the ground-state wavefunction. This compression is usually obtained by exploiting some physical structure of the…

Chemical Physics · Physics 2023-04-04 Anderson D. S. Duraes

The performance of existing approaches to the recovery of frequency-sparse signals from compressed measurements is limited by the coherence of required sparsity dictionaries and the discretization of frequency parameter space. In this…

Information Theory · Computer Science 2014-07-15 Zhenqi Lu , Rendong Ying , Sumxin Jiang , Zenghui Zhang , Peilin Liu , Wenxian Yu

Compressive sensing (CS) is an alternative to Shannon/Nyquist sampling for the acquisition of sparse or compressible signals that can be well approximated by just K << N elements from an N-dimensional basis. Instead of taking periodic…

Information Theory · Computer Science 2016-11-17 Richard G. Baraniuk , Volkan Cevher , Marco F. Duarte , Chinmay Hegde

This paper presents a wireless neural recording system featuring energy-efficient data compression and encryption. An ultra-high efficiency is achieved by leveraging compressed sensing (CS) for simultaneous data compression and encryption.…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Xilin Liu , Andrew G. Richardson , Jan Van der Spiegel

This paper presents a novel power spectral density estimation technique for band-limited, wide-sense stationary signals from sub-Nyquist sampled data. The technique employs multi-coset sampling and incorporates the advantages of compressed…

Information Theory · Computer Science 2012-05-18 Michael A. Lexa , Mike E. Davies , John S. Thompson