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Compressive sensing has shown significant promise in biomedical fields. It reconstructs a signal from sub-Nyquist random linear measurements. Classical methods only exploit the sparsity in one domain. A lot of biomedical signals have…

Information Theory · Computer Science 2016-11-26 Yipeng Liu , Maarten De Vos , Ivan Gligorijevic , Vladimir Matic , Yuqian Li , Sabine Van Huffel

This paper provides performance bounds for compressed sensing in the presence of Poisson noise using expander graphs. The Poisson noise model is appropriate for a variety of applications, including low-light imaging and digital streaming,…

Information Theory · Computer Science 2015-05-19 Maxim Raginsky , Sina Jafarpour , Zachary Harmany , Roummel Marcia , Rebecca Willett , Robert Calderbank

The goal in signal compression is to reduce the size of the input signal without a significant loss in the quality of the recovered signal. One way to achieve this goal is to apply the principles of compressive sensing, but this has not…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Fereshteh Fakhar Firouzeh , John W. Chinneck , Sreeraman Rajan

Let $x\in\mathbb{C}^n$ be a spectrally sparse signal consisting of $r$ complex sinusoids with or without damping. We consider the spectral compressed sensing problem, which is about reconstructing $x$ from its partial revealed entries. By…

Optimization and Control · Mathematics 2017-08-01 Jian-Feng Cai , Tianming Wang , Ke Wei

Compressed sensing of sparse sources can be improved by incorporating prior knowledge of the source. In this paper we demonstrate a method for optimal selection of weights in weighted $L_1$ norm minimization for a noiseless reconstruction…

Information Theory · Computer Science 2013-09-17 Toshiyuki Tanaka , Jack Raymond

Signal reconstruction in compressive sensing involves finding a sparse solution that satisfies a set of linear constraints. Several approaches to this problem have been considered in existing reconstruction algorithms. They each provide a…

Information Theory · Computer Science 2013-03-15 Christian Schou Oxvig , Patrick Steffen Pedersen , Thomas Arildsen , Torben Larsen

The problem of recovering a structured signal from its linear measurements in the presence of speckle noise is studied. This problem appears in many imaging systems such as synthetic aperture radar and optical coherence tomography. The…

Information Theory · Computer Science 2021-08-03 Wenda Zhou , Shirin Jalali , Arian Maleki

This article proposes a novel algorithm for solving mismatch problem in compressed sensing. Its core is to transform mismatch problem into matched by constructing a new measurement matrix to match measurement value under unknown measurement…

Signal Processing · Electrical Eng. & Systems 2024-10-31 Le Yang

In this paper, we consider the joint design of data compression and 802.15.4-based medium access control (MAC) protocol for smartgrids with renewable energy. We study the setting where a number of nodes, each of which comprises electricity…

Information Theory · Computer Science 2015-06-30 Le Thanh Tan , Long Bao Le

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…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

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

Compressed sensing is triggering a major evolution in signal acquisition. It consists in sampling a sparse signal at low rate and later using computational power for its exact reconstruction, so that only the necessary information is…

Statistical Mechanics · Physics 2012-06-07 Florent Krzakala , Marc Mézard , François Sausset , Yifan Sun , Lenka Zdeborová

Millimeter wave beam alignment (BA) is a challenging problem especially for large number of antennas. Compressed sensing (CS) tools have been exploited due to the sparse nature of such channels. This paper presents a novel deterministic CS…

Signal Processing · Electrical Eng. & Systems 2020-04-03 Erfan Khordad , Iain B. Collings , Stephen V. Hanly

Compressed sensing (CS) demonstrates that sparse signals can be estimated from under-determined linear systems. Distributed CS (DCS) further reduces the number of measurements by considering joint sparsity within signal ensembles. DCS with…

Information Theory · Computer Science 2017-03-24 Junan Zhu , Dror Baron , Florent Krzakala

Recent development in compressed sensing (CS) has revealed that the use of a special design of measurement matrix, namely the spatially-coupled matrix, can achieve the information-theoretic limit of CS. In this paper, we consider the…

Information Theory · Computer Science 2014-02-14 Chao-Kai Wen , Kai-Kit Wong

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

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

Many practical sensing applications involve multiple sensors simultaneously acquiring measurements of a single object. Conversely, most existing sparse recovery guarantees in compressed sensing concern only single-sensor acquisition…

Information Theory · Computer Science 2023-08-31 Il Yong Chun , Ben Adcock

There have been a number of studies on sparse signal recovery from one-bit quantized measurements. Nevertheless, little attention has been paid to the choice of the quantization thresholds and its impact on the signal recovery performance.…

Information Theory · Computer Science 2013-05-21 Jun Fang , Yanning Shen , Hongbin Li

In this paper we consider the problem of sparse signal recovery in Multiple Measurement Vectors (MMVs) case. Recently, ample researches have been conducted to solve this problem and diverse methods are proposed, one of which is deep neural…

Signal Processing · Electrical Eng. & Systems 2018-06-26 Zohreh Mohades , Vahid TabaTabaVakili
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