NDLI: Optimised two-dimensional orthogonal matching pursuit algorithm via singular value decomposition

Content Provider	IET Digital Library
Author	Zhang, Cheng Chen, Qianwen Wang, Meiqin Wei, Sui
Abstract	The reconstruction algorithm is one of the core issues in applying compressed sensing theory to practical applications. Two-dimensional orthogonal matching pursuit (2DOMP) algorithm, as an extension of the traditional orthogonal matching pursuit algorithm, can be used directly for the reconstruction of two-dimensional signals. With 2D separable sampling, the memory requirements and the complexity of 2DOMP are exponentially reduced. However, in 2DOMP algorithm, the requirement of reconstruction matrix is not taken into consideration, merely measurement matrix is used directly. In this study, singular value decomposition is introduced into 2DOMP algorithm, and 2DOMP algorithm based on singular value decomposition (2DOMP-SVD) is proposed. Singular value decomposition of separable measurement matrices is used to obtain optimised separable reconstruction matrices and optimised measurements. Numerical experiments demonstrate that the proposed 2DOMP-SVD algorithm can significantly improve the success rate and robustness of reconstruction. Moreover, the separation design of the matrix can satisfy the requirements for both the measurement matrix and the reconstruction matrix individually, and is suitable for general separable linear system.
Starting Page	717
Ending Page	724
Page Count	8
ISSN	17519675
Volume Number	14
e-ISSN	17519683
Issue Number	Issue 10, Dec (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/14/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2019.0090
Journal	IET Signal Processing
Publisher Date	2021-01-05
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	2D Separable Sampling 2DOMP-SVD Algorithm Algebra Compressed Sensing Compressed Sensing Theory Computer Vision And Image Processing Technique Image And Video Coding Image Coding Image Reconstruction Matrix Algebra Measurement Matrix Optimisation Optimisation Technique Optimised Separable Reconstruction Matrix Reconstruction Algorithm Reconstruction Matrix Separable Linear System Singular Value Decomposition Two-dimensional Orthogonal Matching Pursuit Algorithm Two-dimensional Signal
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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