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

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 .

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.