An Optimized Algorithm to Construct QC-LDPC Matrix in Compressed Sensing

Authors

  • Xiaoqi Yin School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China, Jiangsu Laboratory of Lake Environment Remote Sensing Technologies, Huaiyin Institute of Technology, Huaian Jiangsu 223003, China
  • Jiansheng Qian School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China
  • Xingge Guo School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China
  • Guohua Lin Jiangsu Laboratory of Lake Environment Remote Sensing Technologies, Huaiyin Institute of Technology, Huaian Jiangsu 223003, China

DOI:

https://doi.org/10.13052/jwe1540-9589.19784

Keywords:

Measurement matrix, LDPC, quasi-cyclic, finite geometry, short girth, compressed sensing

Abstract

Aiming at the problems such as the large amount of data in transmission and difficulties in hardware implementation, an optimized algorithm is put forward to generate QC-LDPC measurement matrix based on limited geometry in compressed sensing, which can eliminate the short girth of 4 in Tanner graph through the design of basis matrix. Because of the quasi-cyclic characteristics, it can be realized by shift register so as to reduce the complexity of coding. The simulation results indicate that QC-LDPC matrix is superior to traditional measurement matrices by using the same OMP algorithm, and there are good improvements in the aspects of PSNR, SSIM, NMSE and runtime, which are conductive to the application of compressed sensing theory in real-time data transmission.

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Author Biographies

Xiaoqi Yin, School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China, Jiangsu Laboratory of Lake Environment Remote Sensing Technologies, Huaiyin Institute of Technology, Huaian Jiangsu 223003, China

Xiaoqi Yin is a professor of Huaiyin Institute of Technology. She graduated from Hohai University with a bachelor’s degree in industrial automation in 1997. In 2006, she graduated from Nanjing Normal University, majoring in physics and electronics, and got a master’s degree. Now she is working for the doctorate in China University of Mining and Technology. She is engaged in wireless communication and signal processing.

Jiansheng Qian, School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China

Jiansheng Qian is a professor, and he is a doctoral supervisor of China mining university. In 1985, he graduated from Northwest Telecommunication Engineering College with a bachelor’s degree in laser. In 1988, he graduated from Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences with a master’s degree in optoelectronics. He was awarded the title of professor in 2001 and obtained the doctor’s degree in 2003. Now he is the academic leader of the doctoral program of communication and information system in China University of Mining and Technology. His research areas include broadband network technology and application, mine communication and monitoring, optoelectronic technology and application.

Xingge Guo, School of Informatiom and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221008, China

Xingge Guo is an associate professor, and he is a master supervisor of China mining university. He received his Bachelor’s degree in electronics and Information Technology in 2001,and received his Master’s degrees in communications and Information Technology in 2006. In 2013, he obtained his doctorate in communication and Information System from China University of Mining and Technology. He is mainly engaged in mine internet of things technology, mine communication and monitoring and mobile communication technology.

Guohua Lin, Jiangsu Laboratory of Lake Environment Remote Sensing Technologies, Huaiyin Institute of Technology, Huaian Jiangsu 223003, China

Guohua Lin is an associate professor. From 2009 to 2012, he was engaged in the research of electromagnetic wave propagation in the Department of Information Science and Electronic Engineering of Zhejiang University. He received his Ph.D. degree in electromagnetic field and microwave technology from Nanjing University of Posts and Telecommunications in 2015. Since 2018, he has been a teacher in the Faculty of Electronic Information Engineering of Huaiyin Institute of Technology. His research interests include radio wave propagation theory and its applications.

References

Dimakis A G, Smarandache R, Vontobel P O (2012). LDPC codes for compressed sensing. IEEE Transactions on Information Theory, 58(5), 3093-3114.

Li S, Gao F, Ge G, et al (2012). Deterministic Construction of Compressed Sensing Matrices via Algebraic Curves. IEEE Transactions on Information Theory, 58(8), 5035-5041.

Mo Q, Shen Y (2012). A Remark on the Restricted Isometry Property in Orthogonal Matching Pursuit. IEEE Transactions on Information Theory, 58(6), 3654–3656.

Monajemi H, Jafarpour S, Gavish M, et al (2013). Deterministic Matrices Matching the Compressed Sensing Phase Transitions of Gaussian Random Matrices. Proceedings of the National Academy of Sciences of the United States of America (PNAS), 110(4), 1181-1186.

Li S, Ge G (2014). Deterministic Sensing Matrices Arising From Near Orthogonal Systems. IEEE Transactions on Information Theory, 60(4), 2291-2302.

Amini A, Marvasti F (2011). Deterministic Construction of Binary, Bipolar, and Ternary Compressed Sensing Matrices. IEEE Transactions on Information Theory, 57(4), 2360-2370.

Xin-Ji Liu, Shu-Tao Xia, Fang-Wei Fu (2017). Reconstruction Guarantee Analysis of Basis Pursuit for Binary Measurement Matrices in Compressed Sensing. IEEE Transactions on Information Theory, 63 (5), 2922-2932.

Amini A, Montazerhodjat V, Marvasti F (2012). Matrices With Small Coherence Using p-Ary Block Codes. IEEE Transactions on Signal Processing, 60(1), 172–181.

Yu N Y, Zhao N (2013). Deterministic Construction of Real-Valued Ternary Sensing Matrices Using Optical Orthogonal Codes. IEEE Signal Processing Letters, 20(11), 1106-1109.

Mohades M M, Mohades A, Tadaion A (2014). A Reed-Solomon Code Based Measurement Matrix with Small Coherence. IEEE Signal Processing Letters, 21(7), 839-843.

Haiyang Liu, Hao Zhang, Lianrong Ma (2017). On the Spark of Binary LDPC Measurement Matrices From Complete Protographs. IEEE Signal Processing Letters, 24 (11), 1616-1620.

Rosnes E, Ambroze M A, Tomlinson M (2014). On the Minimum Stopping Distance of Array Low-Density Parity-Check Codes. IEEE Transactions on Information Theory, 60(9), 5204-5214.

Zhang Yi, Da Xinyu (2015). Construction of girth-eight QC-LDPC codes from arithmetic progression sequence with large column weight. Electronics Letters, 51(16), 1257-1259.

Tasdighi A, Banihashemi A H, Sadeghi M R (2017). Symmetrical constructions for regular girth-8 QC-LDPC codes. IEEE Transactions on Communications, 65(1), 14-22.

Needell D, Vershynin R (2010). Signal recovery from incomplete and inaccurate measurements via regularized orthogonal matching pursuit. IEEE Journal of Selected Topics in Signal Processing, 4(2), 310-316.

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Published

2020-12-25

How to Cite

Yin, X. ., Qian, J., Guo, X. ., & Lin, G. . (2020). An Optimized Algorithm to Construct QC-LDPC Matrix in Compressed Sensing. Journal of Web Engineering, 19(7-8), 999–1016. https://doi.org/10.13052/jwe1540-9589.19784

Issue

2020: Vol 19 Iss 7-8

Section

Advanced Practice in Web Engineering