| 多进制LDPC译码算法的研究 |
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| 引用本文： | 张誉,雷菁,文磊. 多进制LDPC译码算法的研究[J]. 通信技术, 2011, 44(5): 21-23 |
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| 作者姓名： | 张誉 雷菁 文磊 |
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| 作者单位： | 国防科学技术大学电子科学与工程学院,湖南,长沙,410073 |
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| 摘 要： | 多进制LDPC码是将二进制LDPC码推广到有限域GF（q）,其校验矩阵的元素不再是（0,1）,而是集合（0,1,…,q-1）,译码仍然采用高效的基于置信度传播的迭代译码算法。这里主要推导了多进制译码算法的迭代公式,分析证明了基于快速傅里叶变换（FFT）理论的改进算法,最后通过仿真手段验证和分析了基于FFT的多进制译码算法的优越性能。
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| 关 键 词： | 多进制LDPC码 置信度传播 快速傅里叶变换 |
Study on Decoding Algorithm for Non-Binary LDPC Codes |
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| ZHANG Yu,LEI Jing,WEN Lei. Study on Decoding Algorithm for Non-Binary LDPC Codes[J]. Communications Technology, 2011, 44(5): 21-23 |
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| Authors: | ZHANG Yu LEI Jing WEN Lei |
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| Affiliation: | ZHANG Yu,LEI Jing,WEN Lei(Department of Electronic Science and Engineering,National University of Defense Technology,Changsha Hunan 410073,China) |
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| Abstract: | Non-binary LDPC codes are obtained by generalizing binary LDPC coeds from finite field GF（2） to finite field GF（q）.Its elements of parity check matrix are not（0,1）,but ensemble（0,1,…,q-1）,and its decoding method still employs belief propagation and iterative algorithm.This paper mainly derives the iterative formulas of decoding algorithm for Non-Binary LDPC codes and analyzes an improved algorithm based on FFT.Finally,the predominant performance of FFT decoding algorithm is verified by simulation. |
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| Keywords: | non-binary LDPC codes belief propagation and iterative algorithm FFT |
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