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Method for constructing large-girth rule QC-LDPC code based on Fibonacci-Lucas sequence

A sequence and rule technology, applied in the field of novel construction of quasi-cyclic low-density parity-check codes, can solve problems such as insufficient girth length, code length and code rate cannot be flexibly selected, and achieve good error correction performance and flexible code selection Long code rate and good error correction performance

Pending Publication Date: 2019-05-14
CHONGQING UNIV OF POSTS & TELECOMM
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Problems solved by technology

Looking at Chinese and foreign literature, we can see that there are still problems such as insufficient girth length and inflexible selection of code length and code rate in many construction methods of QC-LDPC codes.

Method used

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  • Method for constructing large-girth rule QC-LDPC code based on Fibonacci-Lucas sequence
  • Method for constructing large-girth rule QC-LDPC code based on Fibonacci-Lucas sequence
  • Method for constructing large-girth rule QC-LDPC code based on Fibonacci-Lucas sequence

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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. Combination figure 1 Explain that firstly, the basis matrix E with the property of large girth is obtained by combining the Fibonacci-Lucas sequence with its special structure. The core idea of ​​the patent construction method is to use the special properties of the Fibonacci-Lucas sequence to construct a base matrix without four or six rings, and then obtain a flexible code with a large girth by setting different numbers of rows, columns and expansion factors The parity check matrix H of the long code rate property. The construction process of the parity check matrix H and its girth performance analysis are explained in detail below.

[0018] 1 Construction method of QC-LDPC code

[0019] The construction of the QC-LDPC code can be determined by its check matrix H, and the check matrix of the code type can be composed of a Cir...

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Abstract

The invention relates to a method for constructing a large-girth rule QC-LDPC code based on a Fibonacci-Lucas sequence. According to the method, a shift matrix is constructed by utilizing the specialproperty and structure of a Fibonacci-Lucas sequence, then a check matrix is obtained through expansion, the code length and the code rate of the constructed code pattern can be flexibly changed, andthe surrounding length of the check matrix is at least 8. Simulation result shows that the simulation result shows that: the simulation result shows; when the bit error rate is 10 <-6 >; The FL-QC-LDPC (3138, 1569) code with the constructed code rate of 0.5 is compared with the DY-QC-LDPC (3138, 1569) code. The F-QC-LDPC (3138, 1569) codes and the LOS-QC-LDPC (3128, 1564) codes can respectively improve the net coding gains of about 0.23 dB, 0.25 dB and 0.4 dB, and have good error correction performance.

Description

technical field [0001] The invention belongs to the field of channel coding in communication systems, and relates to a quasi-cyclic low-density parity check (Quasi-Cyclic Low-Density Parity) based on a Fibonacci-Lucas sequence to construct a large girth rule. -Check, QC-LDPC) code's novel construction method. Background technique [0002] Due to the development of contemporary information communication, people have higher and higher requirements for the reliability of information transmission. Channel coding technology adds redundant information to effective information to find and correct bit errors, thereby improving the reliability of information transmission. Low-Density Parity-Check code (Low-Density Parity-Check, LDPC) has become one of the main channel codes. It is a linear block code with sparse properties. Its coding performance is close to the Shannon limit, and the hardware implementation is difficult. Small, proposed by Gallager in 1962. There are many ways to ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/11
Inventor 袁建国孙乐乐范福卓袁梦刘家齐曾晶郑德猛
Owner CHONGQING UNIV OF POSTS & TELECOMM
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