Construction of Quasi-Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic
Joint Authors
Xu, Hengzhou
Zhu, Hai
Pu, Liqun
Zhang, Bo
Source
Wireless Communications and Mobile Computing
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Information Technology and Computer Science
Abstract EN
Quasi-cyclic (QC) LDPC codes play an important role in 5G communications and have been chosen as the standard codes for 5G enhanced mobile broadband (eMBB) data channel.
In this paper, we study the construction of QC LDPC codes based on an arbitrary given expansion factor (or lifting degree).
First, we analyze the cycle structure of QC LDPC codes and give the necessary and sufficient condition for the existence of short cycles.
Based on the fundamental theorem of arithmetic in number theory, we divide the integer factorization into three cases and present three classes of QC LDPC codes accordingly.
Furthermore, a general construction method of QC LDPC codes with girth of at least 6 is proposed.
Numerical results show that the constructed QC LDPC codes perform well over the AWGN channel when decoded with the iterative algorithms.
American Psychological Association (APA)
Zhu, Hai& Pu, Liqun& Xu, Hengzhou& Zhang, Bo. 2018. Construction of Quasi-Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic. Wireless Communications and Mobile Computing،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1216069
Modern Language Association (MLA)
Zhu, Hai…[et al.]. Construction of Quasi-Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic. Wireless Communications and Mobile Computing No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1216069
American Medical Association (AMA)
Zhu, Hai& Pu, Liqun& Xu, Hengzhou& Zhang, Bo. Construction of Quasi-Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic. Wireless Communications and Mobile Computing. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1216069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1216069