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QC-LDPC code construction scheme based on AP and ETS elimination

A technology of construction and scheme, applied in the field of construction of LDPC codes in channel coding, can solve problems such as indistinguishability, and achieve the effects of improving error leveling, flexible selection of code rates, and low computational complexity

Pending Publication Date: 2020-04-17
CHONGQING UNIV OF POSTS & TELECOMM
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  • Description
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Problems solved by technology

Since the low-weight similar codewords have only a few parity bits, when the signal-to-noise ratio is large enough and the number of belief propagation decoding iterations is large enough, it is still impossible to distinguish them correctly

Method used

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  • QC-LDPC code construction scheme based on AP and ETS elimination
  • QC-LDPC code construction scheme based on AP and ETS elimination
  • QC-LDPC code construction scheme based on AP and ETS elimination

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Embodiment Construction

[0018] specific implementation plan

[0019] The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings.

[0020] 1. Combine with attached Figure 1-3 It shows that the parity check matrix H corresponding to the QC-LDPC code is obtained by expanding the base matrix according to certain rules. The most important step in constructing QC-LDPC codes using structured construction methods is the design of the basis matrix. The arithmetic sequence used to construct the basis matrix in this paper is a special sequence that satisfies certain conditions, and it is a special AP whose difference can be changed. The girth of the basis matrix constructed by this method is at least 8.

[0021] Check Matrix H and Fundamental Matrix H of QC-LDPC Codes b It can be expressed as formula (1) and formula (2):

[0022]

[0023]

[0024] Among them, I p(i,j) (where 1≤i≤m, 1≤j≤n) represents a cyclic permutation matrix (c...

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Abstract

The invention relates to a low-error flat layer QC-LDPC code construction method based on an arithmetic progression (AP) and elimination of a basic trap set (ETS). According to the invention, the method comprises the steps: constructing a basis matrix by utilizing an improved ETS elimination algorithm, so that small basic trap sets in the basis matrix are reduced; then determining a cyclic shift coefficient by utilizing an arithmetic progression with special properties, and performing expanding to obtain a final check matrix. The construction method is low in calculation complexity, and the code length and the code rate of the code words can be flexibly selected. Simulation results show that when the bit error rate is 10<-6>, the net coding gain of the constructed PTAP-QC-LDPC (1200, 600)code with the code rate of 0.5 is improved to a certain extent compared with other four QC-LDPC code patterns with the same code length and code rate. In addition, the PTAP-QC-LDPC (1200, 600) code does not have an obvious error floor after the signal-to-noise ratio is 3.2 dB. Therefore, the scheme can meet the requirement of low-error leveling in a communication system.

Description

technical field [0001] The invention belongs to the field of signal processing and relates to a method for constructing LDPC codes in channel coding. The method is mainly based on the arithmetic progression (AP) and the elimination of elementary trap sets (elementary trap sets, ETS) to construct low error floor QC-LDPC codes. Background technique [0002] The purpose of communication system design is to ensure the effective and reliable transmission of information, but there are interferences such as noise in the transmission process. Low-Density Parity-parity check (LDPC) code is a channel coding technology, as a linear block code with a sparse parity check matrix, it is easy to conduct theoretical analysis and research, and its structure is flexible. Its performance Approaching the Shannon limit, it is a good code with better error correction performance. Quasi-cyclic low-density parity-check (quasi-cyclic low-density parity-check, QC-LDPC) code is a special LDPC code, i...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/11
CPCH03M13/116
Inventor 袁建国王宏森张希瑞庞宇林金朝
Owner CHONGQING UNIV OF POSTS & TELECOMM
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