4 di c , proietti d , telatar i e et al . finite - length analysis of low - density parity - check codes on the binary erasure channel . ieee trans 如果停止距離較小, ldpc碼在迭代譯碼下的錯(cuò)誤概率曲線經(jīng)常會(huì)出現(xiàn)所謂的"地板效應(yīng)error floor 。
The principles of erasure codes used under binary erasure channels are summarized and erasure codes which belong to standard classes of rs codes are introduced with emphasis on cascaded low - density erasure codes with linear time encoding and erasure recover algorithms . thresholds of regular degree distributions are analyzed . it is shown that low - density erasure codes based on ( d , 2d ) - regular sequences of degree distribution are not close to optimal ( d 3 ) . two pares of irregular degree distribution sequences are introduced and a pare of improved right regular sequences of low - density erasure codes are presented , it is testified that the new sequences are asymptotically quasi - optimal . in the meantime , simulations of cascaded low - density erasure codes based on a few types of special sequences of degree distribution available are given , together with performance analyses on these codes 闡述了應(yīng)用于刪除信道下的糾刪碼基本原理,介紹了兩類(lèi)標(biāo)準(zhǔn)的rs碼類(lèi)糾刪碼,重點(diǎn)分析了具有線性時(shí)間編碼和恢復(fù)算法的漸近好碼?級(jí)聯(lián)型低密度糾刪碼,分析了正則度分布的閾值,對(duì)正則低密度校驗(yàn)碼在刪除信道下的糾錯(cuò)性能進(jìn)行了仿真,從理論上證明了基于( d , 2d ) -正則度序列的低密度糾刪碼都不是漸近最優(yōu)碼( d 3 ) ,同時(shí)還分析了非正則低密度校驗(yàn)碼的度序列設(shè)計(jì),基于右邊正則序列提出了一種改進(jìn)型右邊正則序列,證明了此序列為漸近擬最優(yōu)的,對(duì)基于幾類(lèi)現(xiàn)有典型度分布序列的級(jí)聯(lián)型低密度糾刪碼進(jìn)行了模擬仿真及性能分析; 3
In this paper , we study the stopping sets , stopping distance and stopping redundancy for binary linear codes . stopping redundancy is a new concept proposed by schwartz and vardy recently for evaluating the performance of a linear code under iterative decoding over a binary erasure channel . since the exact value of stopping redundancy is difficult to obtain in general , good lower and upper bounds are important 近年來(lái),迭代譯碼的性能分析是低密度校驗(yàn)ldpc碼研究領(lǐng)域的熱點(diǎn)問(wèn)題之一, di等人在2001年指出:迭代譯碼在二元?jiǎng)h除信道bec中的性能可以由ldpc碼的停止集stopping set完全刻畫(huà)。