NDLI: Restricted isometry constant improvement based on a singular value decomposition-weighted measurement matrix for compressed sensing

Content Provider	IET Digital Library
Author	Wang, Qian Qu, Gangrong
Abstract	In compressed sensing, an exact reconstruction depends on the restricted isometry property with a small restricted isometry constant (RIC). Based on singular value decomposition (SVD), the authors improve the RICs of measurement matrices. The proposed weighted measurement matrix method breaks the limit to attain a small RIC and has potential applications in imaging systems. They derive an improvement sufficient condition for the RIC for exact reconstruction using the orthogonal matching pursuit algorithm. The numerical stability of the SVD-based weighted equation is analysed. Simulation results show that the reconstruction results obtained by the proposed SVD-based weighted approach are obviously better than those obtained by the direct reconstruction. In the simulation, they also successfully apply the proposed weighted equation for a computed tomography reconstruction.
Starting Page	1706
Ending Page	1718
Page Count	13
ISSN	17518628
Volume Number	11
e-ISSN	17518636
Issue Number	Issue 11, Aug (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-com/11/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-com.2016.1435
Journal	IET Communications
Publisher Date	2017-03-24
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Approximation Theory Compressed Sensing Computed Tomography Reconstruction Computer Vision And Image Processing Technique Computerised Tomography Image Reconstruction Imaging System Interpolation And Function Approximation Linear Algebra Numerical Analysis Numerical Stability Optical, Image And Video Signal Processing Orthogonal Matching Pursuit Algorithm Restricted Isometry Constant Improvement RIC Singular Value Decomposition Singular Value Decomposition-weighted Measurement Matrix SVD-based Weighted Equation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Computer Science Applications

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