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Fountain Codes With Nonuniform Selection Distributions Through Feedback

机译:具有反馈的非均匀选择分布的源代码

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摘要

One key requirement for fountain (rateless) coding schemes is to achieve a high intermediate symbol recovery rate. Recent coding schemes have incorporated the use of a feedback channel to improve the intermediate performance of traditional rateless codes; however, these codes with feedback are designed based on uniformly at random selection of input symbols. In this paper, on the other hand, we develop feedback-based fountain codes with dynamically adjusted nonuniform symbol selection distributions, and show that this characteristic can enhance the intermediate decoding rate. We provide an analysis of our codes, including bounds on computational complexity and failure probability for a maximum likelihood decoder; the latter is tighter than bounds known for classical rateless codes. Through numerical simulations, we also show that the feedback information paired with a nonuniform selection distribution can highly improve the symbol recovery rate, and that the amount of feedback sent can be tuned to the specific transmission properties of a given feedback channel.
机译:喷泉(无速率)编码方案的一个关键要求是要实现较高的中间符号恢复率。最近的编码方案结合了反馈信道的使用,以改善传统无速率编码的中间性能。但是,这些带有反馈的代码是根据输入符号的随机选择统一设计的。另一方面,在本文中,我们开发了具有动态调整的非均匀符号选择分布的基于反馈的喷泉码,并表明该特性可以提高中间解码率。我们对代码进行了分析,包括最大似然解码器的计算复杂度和失败概率的界限;后者比经典无速率代码的界限更严格。通过数值模拟,我们还表明,与非均匀选择分布配对的反馈信息可以极大地提高符号恢复率,并且可以将发送的反馈量调整为给定反馈通道的特定传输特性。

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