A Dynamical System With Fixed Convergence Time for Sparse Recovery

The sparse recovery (SR) algorithm, under the premise that signals are sparse, can be divided into two categories. One is a digital discrete method implemented via lots of iterative computations and the other is a continuous method implemented via analog circuits, which is usually faster. In this pa...

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Main Authors: Junying Ren, Lei Yu, Yulun Jiang, Jean-Pierre Barbot, Hong Sun
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8638783/
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author Junying Ren
Lei Yu
Yulun Jiang
Jean-Pierre Barbot
Hong Sun
author_facet Junying Ren
Lei Yu
Yulun Jiang
Jean-Pierre Barbot
Hong Sun
author_sort Junying Ren
collection DOAJ
description The sparse recovery (SR) algorithm, under the premise that signals are sparse, can be divided into two categories. One is a digital discrete method implemented via lots of iterative computations and the other is a continuous method implemented via analog circuits, which is usually faster. In this paper, we focus on the continuous method and propose a fixed-time convergence dynamical system. Compared with the existing system, it dynamically allocates the exponent according to time-varying elements of the system state, avoiding possible mismatches between the fixed exponent and some elements.
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spelling doaj.art-c13ff51922324c3e93adbbcf896a8e6b2022-12-21T20:30:02ZengIEEEIEEE Access2169-35362019-01-017218442185010.1109/ACCESS.2019.28974888638783A Dynamical System With Fixed Convergence Time for Sparse RecoveryJunying Ren0Lei Yu1https://orcid.org/0000-0002-7329-4631Yulun Jiang2Jean-Pierre Barbot3Hong Sun4School of Electronic and Information, Wuhan University, Wuhan, ChinaSchool of Electronic and Information, Wuhan University, Wuhan, ChinaSchool of Electronic and Information, Wuhan University, Wuhan, ChinaQuartz EA 7393, ENSEA, Cergy-Pontoise, FranceSchool of Electronic and Information, Wuhan University, Wuhan, ChinaThe sparse recovery (SR) algorithm, under the premise that signals are sparse, can be divided into two categories. One is a digital discrete method implemented via lots of iterative computations and the other is a continuous method implemented via analog circuits, which is usually faster. In this paper, we focus on the continuous method and propose a fixed-time convergence dynamical system. Compared with the existing system, it dynamically allocates the exponent according to time-varying elements of the system state, avoiding possible mismatches between the fixed exponent and some elements.https://ieeexplore.ieee.org/document/8638783/Sparse recoverydynamical systemfixed-time convergence
spellingShingle Junying Ren
Lei Yu
Yulun Jiang
Jean-Pierre Barbot
Hong Sun
A Dynamical System With Fixed Convergence Time for Sparse Recovery
IEEE Access
Sparse recovery
dynamical system
fixed-time convergence
title A Dynamical System With Fixed Convergence Time for Sparse Recovery
title_full A Dynamical System With Fixed Convergence Time for Sparse Recovery
title_fullStr A Dynamical System With Fixed Convergence Time for Sparse Recovery
title_full_unstemmed A Dynamical System With Fixed Convergence Time for Sparse Recovery
title_short A Dynamical System With Fixed Convergence Time for Sparse Recovery
title_sort dynamical system with fixed convergence time for sparse recovery
topic Sparse recovery
dynamical system
fixed-time convergence
url https://ieeexplore.ieee.org/document/8638783/
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