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Compressive sensing (CS) is a sampling technique designed for reducing the complexity of sparse data acquisition. One of the major obstacles for practical deployment of CS techniques is the signal reconstruction time and the high storage…

Information Theory · Computer Science 2011-07-12 Wei Dai , Olgica Milenkovic , Hoa Vin Pham

Compressed sensing (CS) demonstrates that a sparse, or compressible signal can be acquired using a low rate acquisition process below the Nyquist rate, which projects the signal onto a small set of vectors incoherent with the sparsity…

Information Theory · Computer Science 2014-02-25 Yuli Sun , Jinxu Tao

Recent breakthrough results in compressed sensing (CS) have established that many high dimensional objects can be accurately recovered from a relatively small number of non- adaptive linear projection observations, provided that the objects…

Machine Learning · Statistics 2011-11-30 Akshay Soni , Jarvis Haupt

We propose a computational imaging method for time-efficient light-field acquisition that combines a coded aperture with an event-based camera. Different from the conventional coded-aperture imaging method, our method applies a sequence of…

Computer Vision and Pattern Recognition · Computer Science 2024-11-21 Shuji Habuchi , Keita Takahashi , Chihiro Tsutake , Toshiaki Fujii , Hajime Nagahara

We introduce a recursive algorithm for performing compressed sensing on streaming data. The approach consists of a) recursive encoding, where we sample the input stream via overlapping windowing and make use of the previous measurement in…

Machine Learning · Statistics 2013-12-18 Nikolaos M. Freris , Orhan Öçal , Martin Vetterli

The investigation of the effects of sparsity or sparsity constraints in signal processing problems has received considerable attention recently. Sparsity constraints refer to the a priori information that the object or signal of interest…

Statistics Theory · Mathematics 2013-11-25 Alexander Jung

In satellite-based free-space continuous-variable QKD (CV-QKD), the parameter estimation for the atmospheric channel fluctuations due to the turbulence effects and attenuation is crucial for analyzing and improving the protocol performance.…

Quantum Physics · Physics 2021-03-29 Xiaowen Liu , Chen Dong , Xingyu Wang , Tianyi Wu

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

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

Information Theory · Computer Science 2012-05-09 Thomas Blumensath

Recent advances in signal processing have focused on the use of sparse representations in various applications. A new field of interest based on sparsity has recently emerged: compressed sensing. This theory is a new sampling framework that…

Astrophysics · Physics 2009-11-13 J. Bobin , J-L Starck , R. Ottensamer

Compressed sensing (CS) is an emerging field that has attracted considerable research interest over the past few years. Previous review articles in CS limit their scope to standard discrete-to-discrete measurement architectures using…

Information Theory · Computer Science 2011-07-29 Marco F. Duarte , Yonina C. Eldar

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

As an alternative to conventional multi-pixel cameras, single-pixel cameras enable images to be recorded using a single detector that measures the correlations between the scene and a set of patterns. However, to fully sample a scene in…

Computer Vision and Pattern Recognition · Computer Science 2016-07-29 David B. Phillips , Ming-Jie Sun , Jonathan M. Taylor , Matthew P. Edgar , Stephen M. Barnett , Graham G. Gibson , Miles J. Padgett

Compressed sensing is a novel research area, which was introduced in 2006, and since then has already become a key concept in various areas of applied mathematics, computer science, and electrical engineering. It surprisingly predicts that…

Information Theory · Computer Science 2012-08-29 Gitta Kutyniok

Compressive sensing (CS) is a promising technology for realizing energy-efficient wireless sensors for long-term health monitoring. However, conventional model-driven CS frameworks suffer from limited compression ratio and reconstruction…

Machine Learning · Computer Science 2016-12-19 Kai Xu , Yixing Li , Fengbo Ren

Traditional video compression technologies have been developed over decades in pursuit of higher coding efficiency. Efficient temporal information representation plays a key role in video coding. Thus, in this paper, we propose to exploit…

Image and Video Processing · Electrical Eng. & Systems 2019-12-16 Haojie Liu , Han shen , Lichao Huang , Ming Lu , Tong Chen , Zhan Ma

Coded compressed sensing is an algorithmic framework tailored to sparse recovery in very large dimensional spaces. This framework is originally envisioned for the unsourced multiple access channel, a wireless paradigm attuned to…

Information Theory · Computer Science 2019-10-23 Vamsi K. Amalladinne , Jean-Francois Chamberland , Krishna R. Narayanan

Recent research advances have revealed the computational secrecy of the compressed sensing (CS) paradigm. Perfect secrecy can also be achieved by normalizing the CS measurement vector. However, these findings are established on real…

Cryptography and Security · Computer Science 2014-11-25 Leo Yu Zhang , Kwok-Wo Wong , Yushu Zhang , Qiuzhen Lin

The mathematical theory of compressed sensing (CS) asserts that one can acquire signals from measurements whose rate is much lower than the total bandwidth. Whereas the CS theory is now well developed, challenges concerning hardware…

Information Theory · Computer Science 2013-07-18 Makhlad Chahid , Jerome Bobin , Hamed Shams Mousavi , Emmanuel Candes , Maxime Dahan , Vincent Studer

Scene-dependent adaptive compressive sensing (CS) has been a long pursuing goal which has huge potential in significantly improving the performance of CS. However, without accessing to the ground truth image, how to design the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Chenxi Qiu , Tao Yue , Xuemei Hu