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Microelectronics & Computer

A High Quality Communication Channel Coding Method Based on LDPC Code

Xiaojun Wang

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

This paper mainly studies the LDPC code high quality communication channel coding technology.In the traditional BP algorithm,LLR BP decoding algorithm based on the minimum,and algorithm in the test node update process exist the problem of large external information,this paper proposes an improved LDPC decoding algorithm. Algorithm based on BP algorithm is scaling,to make it more close to the actual value,the simulation results show that,the improved algorithm improves the LDPC code and the decoding algorithm for minimum error correction performance.

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This paper mainly studies the LDPC code high quality communication channel coding technology.In the traditional BP algorithm,LLR BP decoding algorithm based on the minimum,and algorithm in the test node update process exist the problem of large external information,this paper proposes an improved LDPC decoding algorithm. Algorithm based on BP algorithm is scaling,to make it more close to the actual value,the simulation results show that,the improved algorithm improves the LDPC code and the decoding algorithm for minimum error correction performance.
In iterations processing of LLR BP algorithm for LDPC decoding,the computational of check nodes renewal is high;The decoding performance will be reduced,while there are lots of loops in short LDPC codes.According to these problems,a new LLR BP decoding algorithm based on Hybrid Check-Variable offset processing is proposed in this paper.Decrease complexity by adjusting amplitudes of check nodes processing and relativity of variable nodes by adjusting their information.Simulation results show that this improved decoding algorithm,compared with LLR BP algorithm,is consideration to decoding performance of LDPC and computational complexity.
In iterations processing of LLR BP algorithm for LDPC decoding, the computational complexity of check nodes renewal is high; The decoding performance will be reduced, while there are lots of loops in short LDPC codes. According to these problems, a new LLR BP decoding algorithm based on Hybrid Check-Variable offset processing is proposed in this paper. Decrease complexity by adjusting amplitudes of check nodes processing and relativity of variable nodes by adjusting their information. Simulation results show that this improved decoding algorithm, compared with LLR BP algorithm, is consideration to decoding performance of LDPC and computational complexity.
Low Density Parity Check(LDPC) code itself has a good performance and the application of LDPC in the communication field is extensive.LDPC codes have the characteristics of low bit error rate, easy adjustment, low decoding complexity and excellent decoding performance.LDPC is considered to be the "best performance" in the field of coding and decoding [1] .In this paper, we mainly introduce the theory of LDPC codes.And the use of the method of the LDPC code to do a further explanation.Several simple decoding schemes of LDPC are studied.Finally, using the method of function approximation to replace the confidence function to improve the BP LLR algorithm, and simulation experiments are carried out.
To reduce the average number of decoding iterations in the region of low SNR(signal to noise ratio) and weaken the oscillation of the LLR(logarithm likelihood ratio),discovered the variation law of the check nodes'LLR and the checksum,in the error frame of the short and middle length LDPC codes.Based on the law,proposed an improved BP algorithm of LDPC decoding.In the algorithm,developed an early stopping criterion to reduce the average number of decoding iterations in the region of low SNR.And to improve the decoding performance by weakening the oscillation of the LLR,modified the update algorithm of check node.Simulation results show that,the algorithm reduces the number of iteration while the performance is not reduced in the region of low SNR,the decoding performance is improved while the number of iteration is not changed in the region of middle and high SNR.
LLR BP decoding algorithm and its improved version Minimum-Sum decoding algorithm are usually used to realize the decoding of LDPC codes.But the calculation of LLR BP decoding algorithm is too complicated,and the performance of Minimum-Sum decoding algorithm is not good enough because of the approximation.A modified BP decoding algorithm is proposed by using some parameters in order to have a good tradeoff between complexity and decoding performance.The simulation results demonstrate that the modified algorithm keeps good decoding performance,and supplies a significant reduction of the complexity compared to LLR BP decoding algorithm and minimum-sum decoding algorithm.