本文選題：低密度奇偶校驗(yàn)碼 + 光纖通信�。� 參考：《煙臺(tái)大學(xué)》2017年碩士論文

【摘要】：低密度奇偶校驗(yàn)(Low Density Parity Check,LDPC)碼是由Gallager博士提出的一種性能優(yōu)良的線性分組碼。它克服了其它很多糾錯(cuò)碼的缺點(diǎn),是目前發(fā)現(xiàn)的性能最接近香農(nóng)限的信道編碼。LDPC碼譯碼算法可以通過(guò)完全并行的譯碼結(jié)構(gòu)來(lái)降低譯碼延時(shí),這在很多領(lǐng)域都引起了極大關(guān)注。近年來(lái)越來(lái)越多的學(xué)者開(kāi)始研究LDPC碼,這使得LDPC碼的編譯碼算法不斷改進(jìn)。優(yōu)異的性能使LDPC碼在光纖通信、數(shù)字水印、水下通信以及深空通信等多個(gè)領(lǐng)域都得到了廣泛應(yīng)用。光纖通信作為一種新興的通信技術(shù),從開(kāi)始就顯示出巨大的優(yōu)勢(shì)。二元LDPC碼在光纖通信中的應(yīng)用已經(jīng)十分廣泛,但是多元LDPC碼具有更好的性能,因此多元LDPC碼更適合在光纖通信中應(yīng)用。本文主要在以下幾個(gè)方面進(jìn)行了深入研究:1.簡(jiǎn)要介紹光纖通信的特點(diǎn)以及在光纖通信中應(yīng)用多元LDPC碼作為糾錯(cuò)碼的優(yōu)點(diǎn)。對(duì)多元LDPC碼的基本理論包括表示方式、構(gòu)造方法以及常見(jiàn)編碼方法等進(jìn)行介紹。2.詳細(xì)介紹了多元LDPC碼幾種典型譯碼算法包括BP譯碼算法、LOG-BP譯碼算法、最小和譯碼算法、擴(kuò)展最小和譯碼算法以及FFT-BP譯碼算法,并且在此基礎(chǔ)上對(duì)多元LDPC碼FFT-BP譯碼算法進(jìn)行改進(jìn)。通過(guò)對(duì)編碼后的碼字等間隔加入判決位的方法提高FFT-BP譯碼算法初始信息的準(zhǔn)確性。改進(jìn)后的FFT-BP譯碼算法迭代次數(shù)明顯降低。3.詳細(xì)介紹了有限域中加法、乘法運(yùn)算的FPGA實(shí)現(xiàn),并且在此基礎(chǔ)上對(duì)多元LDPC碼編碼器進(jìn)行設(shè)計(jì)。采用自頂向下的模塊化設(shè)計(jì)思想對(duì)改進(jìn)的多元LDPC碼FFT-BP譯碼算法進(jìn)行FPGA實(shí)現(xiàn),并采用Modelsim仿真軟件驗(yàn)證其準(zhǔn)確性。4.總結(jié)論文所做的工作,指出論文中存在的不足之處,并且指明下一步的研究方向。
[Abstract]:Low Density Parity check (LDPC) code with low density parity check is a linear block code with excellent performance proposed by Dr. Gallager.It overcomes the shortcomings of many other error-correcting codes, and is that the channel coding. LDPC decoding algorithm, which has the closest performance to Shannon limit, can reduce the decoding delay by completely parallel decoding structure, which has attracted great attention in many fields.In recent years, more and more scholars have begun to study LDPC codes, which makes the encoding and decoding algorithms of LDPC codes continuously improved.With its excellent performance, LDPC codes are widely used in optical fiber communication, digital watermarking, underwater communication and deep space communication.As a new communication technology, optical fiber communication has shown great advantages from the beginning.Binary LDPC codes have been widely used in optical fiber communication, but multivariate LDPC codes have better performance, so multivariate LDPC codes are more suitable for optical fiber communication.This article mainly carries on the thorough research in the following several aspects: 1.This paper briefly introduces the characteristics of optical fiber communication and the advantages of using multiple LDPC codes as error correction codes in optical fiber communication.This paper introduces the basic theory of multivariate LDPC codes, including representation, construction and common coding methods.Several typical decoding algorithms for multivariate LDPC codes are introduced in detail, including BP decoding algorithm, minimum sum decoding algorithm, extended minimum sum decoding algorithm and FFT-BP decoding algorithm. On this basis, the FFT-BP decoding algorithm of multivariate LDPC codes is improved.The accuracy of the initial information of the FFT-BP decoding algorithm is improved by adding decision bits to the coded codewords at equal intervals.The number of iterations of the improved FFT-BP decoding algorithm is significantly reduced by .3.The FPGA implementation of addition and multiplication in finite domain is introduced in detail. On this basis, the multivariate LDPC encoder is designed.The improved FFT-BP decoding algorithm of multivariate LDPC codes is implemented by using the top-down modular design idea, and the accuracy of the algorithm is verified by Modelsim simulation software .4.The paper summarizes the work done, points out the shortcomings of the paper, and points out the next research direction.
【學(xué)位授予單位】：煙臺(tái)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：TN911.22;TN929.11

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