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中文摘要：
喷泉码的度分布对喷泉码的编译码性能有着十分重要的影响.目前常用的度分布在源数据码长较长时具有较好的性能,但在码长较短时,性能有明显下降.本文给出一种LT码度分布的构造方法.该方法先对二进制度分布进行调整,然后将其与鲁棒孤子度分布进行有机结合,再通过优化可译集合值来进一步优化度分布函数,得到一种当源数据为短码长时也有较好性能的度分布,即修正二进制-鲁棒孤子度分布.仿真结果证明,采用这种度分布对源数据进行LT编码时,相比较二进制度分布和鲁棒孤子度分布,其译码性能得到了明显提高,并且码长越短,性能提高越明显.
英文摘要：
The degree distribution has a very important influence on the decoding efficiency of fountain codes. The decoding performance is good when the message size is large,but it drops dramatically when the size becomes smaller, which is the inevitable result of using the existing degree distributions to encode. In this paper, we present a new scheme to design the degree distribution. First, we combine the robust soliton degree distribution with the modified binary exponential distribution and further adjust the degree by optimizing the ripple size.By doing this we can get modified binary robust dislribution（MBRD）, which can also perform well when the source message size is small. Through simulation experiments, we have verified that MBRD greatly improves the encoding and decoding performances. Moreover, compared with the existing degree distributions, the smaller the source message size becomes, the more evidently the performance is improved.
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