NDLI: Compressive sensing measurement matrix construction based on improved size compatible array LDPC code

Content Provider	IET Digital Library
Author	Yuan, Haiying Song, Hongying Sun, Xun Guo, Kun Ju, Zijian
Abstract	ISC-array LDPC code matrix is evolved from SC-array LDPC code matrix to improve compressive sensing performance for large-size sparse signal. When q is a prime number, no repetitive row occurs in the shift index of SC-array LDPC code matrix, ISC-array LDPC code matrix performs comparably with SC-array LDPC code matrix. When q is a non-prime number, some repetitive rows will appear in the shift index of SC-array LDPC code matrix, which results in more 4-cycles and decreases the compressive sensing performance. ISC-array LDPC code matrix outperforms SC-array LDPC code matrix by effectively reducing or even eliminating the repetitive rows according to their distribution rule, 4-cycles are removed to the maximum extent. ISC-array LDPC code matrix qualifies for compressive sensing because of satisfying RIP well. It also has good quasi-cyclic structure and supports arbitrary code lengths. The simulations verify that the optimised ISC-array LDPC code matrix is advantageous in the image reconstruction quality, the robustness to noise performance and the algorithm complexity.
Starting Page	993
Ending Page	1001
Page Count	9
ISSN	17519659
Volume Number	9
e-ISSN	17519667
Issue Number	Issue 11, Nov (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/9/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2015.0117
Journal	IET Image Processing
Publisher Date	2015-07-10
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Arbitrary Code Length Compressed Sensing Compressive Sensing Measurement Matrix Construction Computer Vision And Image Processing Technique Cyclic Codes Image And Video Coding Image Coding Image Reconstruction Image Reconstruction Quality Improved Size Compatible Array LDPC Code ISC-array LDPC Code Matrix Matrix Algebra Parity Check Code Quasicyclic Structure Repetitive Row Elimination RIP Well SC-array LDPC Code Matrix Shift Index
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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