一种应用于DMB-T的基于RS码软判决译码的级联码方案

结合DMB—T系统的信道编码方案以及编码领域的最新进展,即RS码软判决译码算法的发展,提出了一种应用于DMB-T系统基于和积算法(SPA)的RS码软判决译码的级联码方案。该方案仅需在现有方案的基础上作少量调整即可获得可观的编码增益。和其它流行的软判决译码算法的比较表明,此方案提出的RS码软判决译码算法在DMB-T系统的应用中具有一定的优势。     

RS码译码算法对比研究

RS码所具有的高效译码性能使其被广泛应用于数据通信和存储系统的差错控制中。本文主要对目前常用的RS码的硬判决译码算法和K—V代数软判决译码算法进行对比研究。通过对两种算法原理的理论分析,给出了RS码在硬判决与软判决的算法下的计算机仿真。结果表明两种算法均能得到良好的译码效果,而软判决译码算法较硬判决方式能更有效地带来系统增益。而软判决译码算法可以通过适当提高复杂度来改善系统的性能。     

前向纠错技术在100Gb/s系统中的研究

通过对软判决、低密度奇偶校验码(LDPC)编码进行了研究,构造了更高编码增益的LDPC与里德-索罗门码(RS)级联码.仿真结果表明,RS和软判决LDPC级联的编码方式,能够在RS(255,239)的基础之上提高4.5dB的编码增益.     

非系统RS(31,19)编译码算法研究与FPGA实现

针对战术数据链系统低时延数据传输需求,提出一种适用于数据链系统的信道编码方案—非系统缩短码RS(31,19)。本文从MS多项式的观点讨论了非系统RS码的编码和译码算法,并对缩短RS码的编译码算法进行了研究。最后在FPGAEP3SE110上采用了一种改进的BM算法,成功实现RS(31,19)编译码复杂算法,有效提高了译码速度,简化了数据链系统硬件设计。     

光通信系统中一种新颖的随机交织型级联码方案

基于LDPC码,提出一种新颖的随机交织型级联码(RICC,random interleaved concatenatedcode)方案。在编码阶段,根据LDPC码中不同度数的变量节点采用不同纠错能力的BCH外码,分别进行保护的思想进行集分割编码;在译码阶段,采用硬判决辅助软判决的联合迭代译码。不同于传统的单极型和交织型级联方式,它是一种根据LDPC码变量节点(VN)度数来决定交织深度,因而交织方式是随机的。仿真结果分析表明,在误比特率(BER)为10-8时,四集合分割的RICC-4P的净编码增益(NCG)比无分割的单级型级联码提高了0.15dB,比ITU-T G.709和G.975.1标准中的RS(255,239)、RS(255,239)+CSOC(n/k=7/6,J=8)级联码和开销为25%的正交级联BCH码的NCG分别提高了3.0、1.5和0.4dB,其纠错性能的提升得益于采用集分割保护和硬判决辅助软判决的联合迭代译码。     

光通信中基于BCJR的BCH译码算法研究

首先从理论上分析了硬判决译码算法和软判决译码算法的性能然后对BCH(Bose,Ray-Chaudhuri,Hocquenghem)码的网格结构以及BCJR(Bahl,Cocke,Jelinek and Raviv)算法进行了详细地分析及推导。实验结果表明,在光信道环境中,在误比特率为10-5时,当仅提高最小汉明距离码率相同或者仅减小码率最小汉明距离相同时,BCJR算法相对于硬判决译码算法的编码增益分别在之前的编码增益基础上又增加了0.15dB和0.25dB。因此设计级联码方案时,应尽可能选择纠错能力较大的内码。此外也可以采用适当增加内码的冗余度相应减小外码的冗余度的方法,在获得更高的编码增益的同时保证整个系统的带宽利用率不变。     

基于联合译码的RS码中继协作系统设计

协作通信技术是通过一定规则使单天线终端能够共享其他用户的天线,从而达到空间分集的效果,能够有效地减轻通信系统中信道衰落的不良影响.RS码在短码且信息位一定的条件下,其译码复杂度较低,且具有较强的应对突发错误的能力.基于此,提出了一种基于联合译码的缩短RS码的中继编码协作系统方案.该方案通过在源节点设置码长自由的缩短RS...     

级联码在遥测系统中的应用

遥测信道是一种典型的时变衰落信道,为弥补信道衰落对信息传输质量的影响,通常采用纠错编码的方法比单纯依靠加大系统功率裕量的方法更有意义。根据RS码的相关理论及编译码原理,结合遥测信道的特点,提出了RS码与卷积码级联的编译码方案,最后对该级联码的方案进行了软件仿真和硬件设计。实现结果表明级联码的增益要优于单纯的卷积码2 dB。     

纠正随机错误与长突发删除的多进制乘积码研究

考虑多进制LDPC码的符号特性，以及对其残留错误和删除的分析，本文采用多进制LDPC码作为内码，相同Galois域下的高码率RS码作为外码来构造多进制乘积码；并提出了一种低复杂度的迭代译码方案，减少信息传输的各类错误。在译码时，只对前一次迭代中译码失败的码字执行译码，并对译码正确码字所对应的比特初始概率信息进行修正，增强下一次迭代多进制LDPC译码符号先验信息的准确性，减少内码译码后的判决错误，从而充分利用外码的纠错能力。仿真结果显示，多进制乘积码相较于二进制LDPC乘积码有较大的编码增益，并通过迭代进一步改善了性能，高效纠正了信道中的随机错误和突发删除。对于包含2%突发删除的高斯信道，在误比特率为10-6时，迭代一次有0.4 dB左右的增益。      

迭代译码的级联Reed-Solomon乘积码与卷积码

该文提出用Reed Solomon(RS)乘积码作为外码,卷积码作为内码的级联码方案并且内外码间用Congruential向量生成的交织图案对RS码符号进行重排列。对此级联码采用的迭代译码基于成员码的软译码算法。当迭代次数达到最大后,通过计算RS码的校正子,提出一种纠正残余错误的方法,进一步提高了系统的误比特性能。仿真结果表明,在AWGN信道中与迭代译码的级联RS/卷积码相比,当误比特率为1e-5时,新系统的编码增益大约有0.4 dB。     

乘积码基于相关运算的迭代译码

乘积码是一种能以Turbo码的思想实现译码的级联码，具有一般编码无法达到的纠错能力。本文提出一种新的乘积码迭代译码算法，其核心思想是通过输出软信息与接收软信息进行线性迭加的方式来实现反馈，此时只须提供-1和1组成的软输出矩阵就能获得很高的编码增益，仿真表明，将子译码器译码后的结果再进行一次相关运算作为软输出，译码性能可以得到进一步的提高。     

Iterative soft decoding of Reed-Solomon codes

This letter presents an iterative decoding method for Reed-Solomon (RS) codes. The proposed algorithm is a stochastic shifting based iterative decoding (SSID) algorithm which takes advantage of the cyclic structure of RS codes. The performances of different updating schemes are compared. Simulation results show that this method provides significant gain over hard decision decoding and is superior to some other popular soft decision methods for short RS codes.     

RS码与LDPC码的联合迭代译码

针对RS码与LDPC码的串行级联结构,提出了一种基于自适应置信传播(ABP)的联合迭代译码方法.译码时,LDPC码置信传播译码器输出的软信息作为RS码ABP译码器的输入;经过一定迭代译码后,RS码译码器输出的软信息又作为LDPC译码器的输入.软输入软输出的RS译码器与LDPC译码器之间经过多次信息传递,译码性能有很大提高.码长中等的LDPC码采用这种级联方案,可以有效克服短环的影响,消除错误平层.仿真结果显示:AWGN信道下这种基于ABP的RS码与LDPC码的联合迭代译码方案可以获得约0.8 dB的增益.     

Soft multiuser demodulation and iterative decoding for FH/SSMA with a block turbo code

The number of users that can be supported by frequency-hopped, spread-spectrum multiple-access systems can be increased greatly by using multiuser demodulation and iterative decoding. In the receiver employed hard-decision multiuser demodulation followed by iterative decoding, users exchange decoded information with each other. Additional information from multiuser demodulation in the first decoding iteration is limited by the hard-decision output of the multiuser demodulator. The error-correction used was an errors-and-erasures Reed-Solomon (RS) decoder. We revisit hard-decision demodulation and conventional RS decoding. Hard-decision multiuser demodulation is modified to provide a soft output, which is then given to a nonbinary block turbo code with shortened RS codes as the constituent codes. An iterative multiuser decoding algorithm is developed to do soft multiuser interference cancellation. This soft receiver with soft demodulation and decoding is shown to be more resistant to multiuser interference and channel noise, especially at lower values of signal-to-noise ratio. The results show a great improvement in the ability of the system to support more users (more than three times in some cases), as compared with systems that erase all hits or employ hard-decision multiuser demodulation followed by RS code. We examine the proposed method for synchronous as well as asynchronous frequency-hopped systems in both AWGN and fading channels.     

Decoding of erasures and errors for certain RS codes by decreased redundancy

A method is presented for decoding erasures and errors in Reed-Solomon (RS) codes over GF(q). It uses fewer operations when the code is of medium or low rate, when the number of erasures is relatively large, and whenq-1is prime. This method can be used in conjunction with the customary method of decoding RS codes and can decrease the maximum number of operations needed to decode certain codes. This procedure is also applicable to generalized RS codes of lengthqover GF(q).     

The fast decoding of Reed-Solomon codes using Fermat theoretic transforms and continued fractions

It is shown that Reed-Solomon (RS) codes can be decoded by using a fast Fourier transform (FFT) algorithm over finite fieldsGF(F_{n}), whereF_{n}is a Fermat prime, and continued fractions. This new transform decoding method is simpler than the standard method for RS codes. The computing time of this new decoding algorithm in software can be faster than the standard decoding method for RS codes.     

Belief propagation decoding of Reed-Solomon codes; a bit-level soft decision decoding algorithm

In this article we propose the application of Belief Propagation (BP) algorithm as a novel bit-level soft decision decoding (SDD) technique for Reed-Solomon (RS) codes. A brief tutorial on Belief Propagation algorithm is presented. A central issue in the application of BP algorithm to decoding RS codes is the construction of a sparse parity check matrix for the binary image of the code. It is demonstrated that Vardy's technique may be applied to find a sparse parity check matrix for RS codes. However, this technique is not applicable to all cases. The BP algorithm is applied to two test codes. In one case, simulation models show that the BP algorithm outperforms the hard decision Euclidean decoding by more than 2 dB of additional coding gain. The results with the second test code are not as promising.     

Channel coding for satellite mobile channels

The deployment of channel coding and interleaving to enhance the bit-error performance of a satellite mobile radio channel is addressed for speech and data transmissions. Different convolutional codes (CC) using Viterbi decoding with soft decision are examined with inter-block interleaving. Reed-Solomon (RS) codes with Berlekamp-Massey hard decision decoding or soft decision trellis decoding combined with block interleaving are also investigated. A concatenated arrangement employing RS and CC coding as the outer and inner coders, respectively, is used for transmissions via minimum shift keying (MSK) over Gaussian and Rayleigh fading channels. For an interblock interleaving period of 2880 bits, a concatenated arrangement of an RS(48,36). over the Galois field GF(256) and punctured PCC(3,1,7) yielding an overall coding rate of 1/2, provides a coding gain of 42dB for a BER of 10^?6, and an uncorrectable error detection probability of 1–10^?9.     

New concatenated soft decoding of Reed-Solomon codes with lower complexities

To improve error-correcting performance, an iterative concatenated soft decoding algorithm for Reed-Solomon (RS) codes is presented in this article. This algorithm brings both complexity as well as advantages in performance over presently popular sott decoding algorithms. The proposed algorithm consists of two powerful soft decoding techniques, adaptive belief propagation (ABP) and box and match algorithm (BMA), which are serially concatenated by the accumulated log-likelihood ratio (ALLR).Simulation results show that, compared with ABP and ABP-BMA algorithms, the proposed algorithm can bring more decoding gains and a better tradeoffbetween the decoding performance and complexity.