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Applications of Algebraic Soft-Decision Decoding of Reed–Solomon Codes

机译：Reed-Solomon码的代数软判决解码的应用

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摘要

Efficient soft-decision decoding of Reed–Solomon codes is made possible by the Koetter–Vardy (KV) algorithm which consists of a front-end to the interpolation-based Guruswami–Sudan list decoding algorithm. This paper approaches the soft-decision KV algorithm from the point of view of a communications systems designer who wants to know what benefits the algorithm can give, and how the extra complexity introduced by soft decoding can be managed at the systems level. We show how to reduce the computational complexity and memory requirements of the soft-decision front-end. Applications to wireless communications over Rayleigh fading channels and magnetic recording channels are proposed. For a high-rate (RS 9225,239) Reed–Solomon code, 2–3 dB of soft-decision gain is possible over a Rayleigh fading channel using 16-quadrature amplitude modulation. For shorter codes and at lower rates, the gain can be as large as 9 dB. To lower the complexity of decoding on the systems level, the redecoding architecture is explored which uses only the appropriate amount of complexity to decode each packet. An error-detection criterion based on the properties of the KV decoder is proposed for the redecoding architecture. Queuing analysis verifies the practicality of the redecoding architecture by showing that only a modestly sized RAM buffer is required.
机译：通过基于插值的Guruswami-Sudan列表解码算法的前端组成的Koetter-Vardy（KV）算法，可以对Reed-Solomon码进行有效的软判决解码。本文从通信系统设计人员的角度研究软判决KV算法，他想知道该算法可以带来什么好处，以及如何在系统级管理软解码引入的额外复杂性。我们展示了如何降低软决策前端的计算复杂性和内存需求。提出了在瑞利衰落信道和磁记录信道上的无线通信的应用。对于高速率（RS 9225,239）的Reed–Solomon码，在使用16正交幅度调制的瑞利衰落信道上，可以实现2-3 dB的软判决增益。对于较短的代码和较低的速率，增益可以高达9 dB。为了降低系统级别的解码复杂性，探索了重新编码体系结构，该体系仅使用适当数量的复杂性对每个数据包进行解码。针对重编码架构，提出了一种基于KV解码器特性的错误检测准则。队列分析通过显示仅需要适度大小的RAM缓冲区来验证重新编码体系结构的实用性。

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