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低密度纠删码度分布序列的研究
Study on Sequences of Degree Distribution for Low-Density Erasure Codes
【摘要】 本文对低密度纠删码的度分布序列进行了研究 ,提出了低密度纠删码度分布序列可达信道容量的充分必要条件 ,给出了Heavy Tail/Poisson和右边正则的两种度分布序列的性质 ,证明了低密度纠删码达信道容量度分布序列的一个分析性质 .这些分析性质对低密纠删码达信道容量度分布序列的设计有着重要的理论指导意义
【Abstract】 Sequences of degree distribution for low-density erasure codes are investigated.We propose a necessary and sufficient condition for sequences of degree distribution for low-density erasure codes to be capacity-achieving sequences.The properties of the Heavy-Tail/Poisson sequences and right-regular sequences are given for low-density erasure codes.The analytical property of capacity-achieving sequences is shown for low-density erasure codes.These analytical properties of the sequences of degree distribution will be helpful in designing capacity-achieving sequences of degree distribution for low-density erasure codes.
【Key words】 low-density erasure code; erasure channel; capacity-achieving sequence; uniform convergence;
- 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2003年07期
- 【分类号】TN911.22
- 【被引频次】2
- 【下载频次】107