循环码的原理及应用.doc

通信传输课程设计题目循环码的原理及应用英文题目 Principl eand Application of Cyclic Codes 专业通信工程 I 摘要循环码是线性分组码中最重要的一种子类,是目前研究得比较成熟的一类码。它的检、纠错能力较强,编码和译码设备并不复杂,而且性能较好,不仅能纠正随机错误,也能纠正突发错误。循环码还有易于实现的特点,很容易用带反馈的移位寄存器实现其硬件。循环码具有许多特殊的代数性质,这些性质有助于按照要求的纠错能力系统地构造这类码,并且简化译码算法,目前发现的大部分线性码与循环码有密切关系正是由于循环码具有码的代数结构清晰、性能较好、编译码简单和易于实现的特点,因此在目前的计算机纠错系统中所使用的线性分组码几乎都是循环码。关键字: 循环码;编码;解码;检错;纠错; Matlab II Principle and Application of Cyclic Codes Abstract Cyclic code isalinear block code ofasub-class ofthe most important, isthe more mature studied aclass ofcodes. Its review, error correction ability, coding and decoding equipment plicated, and the performance isbetter, not only can correct random errors, burst errors can becorrected. Cyclic code also features easy toimplement, itiseasy touse feedback shift registers with the hardware .Cyclic code has many special algebraic properties, these properties contribute tothe error correction ability ofthe system asrequired toconstruct such codes, and simplify the decoding algorithm, currently found inmost ofthe closely related linear codes and cyclic codes precisely because cyclic codes have aclear code of algebraic structure, better performance, encoding and decoding features simple and easy toimplement, sointhe puter system used bythe error-correcting linear block codes are almost always cyclic codes. This report details the definition ofcyclic codes generated bya generator polynomial matrix and the process ofsystem-generated matrix, and write inthe Matlab environment, the cycle code encoder and decoder toachieve the encoding and decoding function. Analysis and discussion ofthis code error isfound, the ability tocorrect errors. Keywords: Cyclic codes; encoding; decoding; error detection; correction; Matlab 目录摘要..................................................................................................................................... I Abstract .....................................................................................................................