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Low-error floor QC-LDPC (Quasi-Cyclic Low-Density Parity-Check) code construction method using ACE (Approximate Cycle Extrinsic Message Degree) and PS (Partition and Shift)

An error flat layer and additional information technology, applied in the field of channel coding in channel processing, can solve problems such as cost increase and resource waste, and achieve the effect of high coding gain and flexible selection of code rate

Inactive Publication Date: 2018-04-06
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

However, while its performance is improved, the coding complexity is also increased, which leads to increased cost and waste of resources in practical applications.

Method used

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  • Low-error floor QC-LDPC (Quasi-Cyclic Low-Density Parity-Check) code construction method using ACE (Approximate Cycle Extrinsic Message Degree) and PS (Partition and Shift)
  • Low-error floor QC-LDPC (Quasi-Cyclic Low-Density Parity-Check) code construction method using ACE (Approximate Cycle Extrinsic Message Degree) and PS (Partition and Shift)
  • Low-error floor QC-LDPC (Quasi-Cyclic Low-Density Parity-Check) code construction method using ACE (Approximate Cycle Extrinsic Message Degree) and PS (Partition and Shift)

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Embodiment Construction

[0016] The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0017] 1. Combine with attached figure 1 To illustrate, the basic matrix is ​​firstly constructed by combining the PEG algorithm and the ACE algorithm. Among them, the PEG construction algorithm is a classical random construction method. Its core idea is to use the greedy algorithm to select the check node that satisfies the maximum girth length every time a variable node is added under the condition of satisfying the degree distribution, that is, the check node with the smallest degree is connected to it. Check the edges connected to the nodes. In the process of constructing the parity check matrix, the density evolution algorithm is used to obtain the degree distribution suitable for oneself, and LDPC codes with different code lengths and code rates are constructed. The degree distribution of its nodes is shown in formula (1):

[0018]...

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Abstract

The invention relates to a low-error floor QC-LDPC (Quasi-Cyclic Low-Density Parity-Check) code construction method using ACE (Approximate Cycle Extrinsic Message Degree) and PS (Partition and Shift).In the method, a basic matrix is searched and constructed in combination of PEG (Progressive Edge Growth) and ACE algorithms so as to improve the continuity of a middle ring of the basic matrix; andthen, cyclic extension is performed on the basic matrix based on a PS shift matrix so as to obtain a check matrix. A simulation result indicates that when the bit error rate is 10<-6>, the net codinggrains of a PAP-QC-LDPC (3600, 2700) code of which the constructed code rate is 0.75 and contrastive other two code types having the same code rate are respectively improved by about 0.4dB and 0.8dB;along with the rise of a signal-to-noise ratio, the difference among three bit error rate performance curves is larger; in addition, the PAP-QC-LDPC (3600, 2700) code does not occur obvious error floor after the signal-to-noise ratio is 4dB. Therefore, the method can meet the requirements of a communication system on code rate flexible selection and low-error floor.

Description

technical field [0001] The invention belongs to the field of channel coding in channel processing, and relates to a novel method for constructing a low error floor QC-LDPC code using ACE and PS. Background technique [0002] In recent years, the superiority of Low-Density Parity-Check (LDPC) codes has attracted the attention of researchers at home and abroad, and has become an indispensable part of modern communication systems. It is used to detect and correct channel effects caused by Information transmission errors caused by noise, attenuation and interference. However, while its performance is improved, the coding complexity is also increased, which leads to increased cost and waste of resources in practical applications. In order to solve this problem, scholars at home and abroad have proposed QC-LDPC code, whose parity check matrix has quasi-cyclic characteristics, so it has the advantage of being easy to implement by hardware in the application of actual communication...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/11
CPCH03M13/116
Inventor 袁建国郑德猛孙乐乐袁素真庞宇林金朝
Owner CHONGQING UNIV OF POSTS & TELECOMM
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