LDPC短码WBF-OSD组合译码设计

为了在译码性能和复杂度之间取得折中,针对低密度奇偶校验（Low Density Parity Check,LDPC）短码设计了加权比特翻转（Weighted Bit-Flipping,WBF）译码与顺序统计量译码（Ordered Statistics Decoding,OSD）的组合译码方法。在接收端,首先进行WBF译码,如果译码失败,则将原始接收序列送入OSD进行译码,最后输出OSD译码结果,这种组合方式称为WBF-OSD-I译码。为了进一步提高译码性能,考虑到WBF-OSD-I译码算法中WBF译码存在的不可检错误导致译码错误的接收序列并没有进入OSD译码器进行译码,设计了WBF-OSD-II组合译码方式。这种WBF-OSD-II组合译码方式通过比较WBF译出的估计码字与接收序列的距离,根据选择的门限决定是否使用OSD译码,从而进一步降低译码错误概率。仿真分析验证了LDPC短码的WBF-OSD组合译码性能。     

大约束度卷积码快速译码方法的研究

针对Viterbi译码算法的计算复杂度随着卷积码约束长度的增加呈指数增加,译码延迟过大,只适用于约束长度较小的卷积码译码的缺陷,提出了适用于大约束度的卷积码译码方法.采用了改进粒子群优化算法,弥补传统粒子群优化算法在解决离散问题方面的缺陷--对卷积码快速译码.该方法通过设定种群规模M来确定译码路径数,极大地缩小了译码网格中的路径搜索范围,使译码延迟减小,更适用于约束长度较大的卷积码.还提出了译码宽度自适应的卷积码译码方法,对Viterbi译码算法进行了改进,把固定的译码路径宽度改进为随信道噪声的变化而变化,大大降低译码计算复杂度.仿真实验表明提出的2种译码方法的有效性.     

基于循环冗余校验的极化码研究

极化码具有简单明确的编码方式和译码算法,在理论上被证明可以达到香农极限。但是其连续删除译码(SC译码)始终在单路径上逐比特进行译码,导致其实际译码性能并不理想。连续删除列表译码(SCL译码)是SC译码的改进型算法,这种译码方式以付出一定译码复杂度为代价提高了极化码的译码性能。而将SCL译码结合循环冗余校验(CRC)可以译码多路径中错误译码的概率,基于这一点该文将对不同CRC码结合极化码所产生的性能差异进行分析,从而得到合适的CRC     

极化码的分布式CRC辅助低复杂度逐次抵消翻转译码

为提高极化码的译码效率,文中提出了一种新颖的逐次抵消翻转(SCF)译码。与传统的SCF译码相比,其可以使用分布式CRC比特来降低计算复杂度。该译码通过提前终止对第一次SC译码的失败帧的译码,来减少信息比特的估计数量,同时尝试最小化附加的排序操作。仿真结果表明,与传统的SCF译码相比,该SCF译码将重复SC译码的计算复杂度至少降低了27%。     

Turbo乘积码仿真研究

Turbo codes译码算法的核心是软输入/软输出迭代译码,把这种思想应用于乘积码的译码中,得到了Turbo乘积码(TPC)迭代译码算法。介绍了基于扩展汉明码的乘积码的迭代译码算法,时该算法在AWGN信道中的译码性能进行了仿真。     

IEEE802.16e标准下LDPC码译码性能分析

LDPC码是一种逼近香农极限的线性分组码。对IEEE802.16e标准下LDPC码校验矩阵的构造及硬判决算法、BP算法、Log-BP算法和Min-Sum算法原理进行了简单介绍。基于Matlab仿真对不同码长译码性能及不同方法译码性能进行分析比较,结果显示随着码长的增加LDPC译码性能变好,讨论的几种译码算法中硬判决译码性能较差,Min-Sum译码好于硬判决译码,但稍差于BP译码和Log-BP译码,BP译码和Log-BP译码性能较好且基本一致。     

光传输系统中一种分组Turbo码的新颖译码算法分析

基于遗传算法与Chase译码算法的各自优势,提出了一种降低运算复杂度并加快译码速度的新颖分组Turbo码(BTC)译码算法.与传统的Chase译码算法相比,该译码算法降低了译码复杂度且加快了译码速度.仿真分析表明,该算法较传统的Chase译码算法在误码率为10-6时提高了约1.15 dB的净编码增益(NCG),具有良好的纠错性能.因而它是一种适用于光传输系统且实用性较强的新颖BTC译码算法.     

Turbo乘积码译码算法的简化

Chase算法是Turbo乘积码(TPC)软判决译码中常采用的算法之一。分析了传统Chase算法中寻找竞争码字对译码复杂度的影响,在此基础上提出了两种新的简化译码算法,省去了寻找竞争码字的过程。仿真结果表明,简化算法在基本保持传统Chase算法译码性能的基础上,降低了译码复杂度,提高了译码速度。     

数字调幅广播中多级编码的译码方案

数字调幅广播采用了基于码率匹配的删除卷积码的多级编码调制技术,结合 OFDM信道估计,研究了其译码方案。提出基于软判决的并行译码、多级译码和迭代多级译码 3种译码方案,仿真了其在长、中、短波段各信道的性能。试验结果表明,迭代多级译码方案性 能最优,但从实现的复杂度和性能改善程度来看,在AWGN信道采用迭代多级译码方案,中短 波信道采用多级译码方案更合适。     

LT码的增强型BP译码算法

传统的LT码采用的BP译码算法,当不存在度1编码分组时会导致BP译码算法失败,不能继续译码.为了提高译码的成功率,分析了剩余编码分组的结构,提出LT码的再次译码算法(Again Belief Propagation decoding algorithm,ABP).算法主要思想是BP译码失败后,查找满足条件的可译结构,继续译码,直到译码成功或再次失败,如果失败重复上面步骤直到译码成功或可译结构不存在,从理论上分析了可译结构存在的概率.仿真结果显示译码成功率得到提高.     

改进Min-sum的LDPC译码算法研究

为了弥补Min-Sum译码算法相对于LLR-BP算法的性能缺陷,降低LLR-BP算法的实现复杂度,提出一种改进型Min-Sum译码算法,将Normalized BP-Based和Offset BP-Based 2种算法有效地结合,在计算校验节点消息时,同时引进校正因子和偏移因子,并通过最小均方差准则来选择参数。仿真结果表明,在误码率相同的条件下,改进型Min-Sum译码算法比Min-Sum算法、Normalized BP-Based算法和Offset BP-Based算法具有更好的译码性能,译码性能逼近于LLR-BP译码算法。     

DTS音频文件软件解码的实现

介绍了DTS音频文件的解码标准，给出了软件解码需要的开发环境和解码流程，对3个DTS音频文件的软件解码结果进行了分析，最后列举了在编写DTS音频文件解码软件过程中需要注意的一些问题。     

On algebraic soft-decision decoding algorithms for BCH codes

Three algebraic soft-decision decoding algorithms are presented for binary Bose-Chaudhuri-Hocquengham (BCH) codes. Two of these algorithms are based on the bounded distance (BD)+1 generalized minimum-distance (GMD) decoding presented by Berlekamp (1984), and the other is based on Chase (1972) decoding. A simple algebraic algorithm is first introduced, and it forms a common basis for the decoding algorithms presented. Next, efficient BD+1 GMD and BD+2 GMD decoding algorithms are presented. It is shown that, for binary BCH codes with odd designed-minimum-distance d and length n, both the BD+1 GMD and the BD+2 GMD decoding algorithms can be performed with complexity O(nd). The error performance of these decoding algorithms is shown to be significantly superior to that of conventional GMD decoding by computer simulation. Finally, an efficient algorithm is presented for Chase decoding of binary BCH codes. Like a one-pass GMD decoding algorithm, this algorithm produces all necessary error-locator polynomials for Chase decoding in one run     

基于MHC快速译码算法的译码树的构造方法

在传真通信中需要对数据进行压缩后再发送。一维改进的Huffman码（MHC）是在传真通信中使用较多的一种压缩编码。MHC的译码算法和快速译码算法都是通过构造译码树实现译码,但将译码树的码表应用到线性地址空间上时,都存在一定程度冲突,从而会对译码速度产生影响。文中通过对MHC快速译码算法的分析,提出了一种新的译码树构造方法,实现了在线性地址空间上对译码树的构造,并解决了原方法中的冲突问题。     

Universal decoding for finite-state channels

Universal decoding procedures for finite-state channels are discussed. Although the channel statistics are not known, universal decoding can achieve an error probability with an error exponent that, for large enough block length (or constraint length in case of convolutional codes), is equal to the random-coding error exponent associated with the optimal maximum-likelihood decoding procedure for the given channel. The same approach is applied to sequential decoding, yielding a universal sequential decoding procedure with a cutoff rate and an error exponent that are equal to those achieved by the classical sequential decoding procedure.     

迭代检测算法在比特交织编码调制系统中的比较研究

迭代检测技术不仅局限于在传统的级联码系统中的应用,还可用于解决现代数字通信中的许多检测／译码问题。随着Turbo码的出现,人们对迭代译码算法进行深入研究,并提出一些简化译码算法。比特交织编码调制及迭代检测（bit—interleaved coded modulation with iterative decoding,BICMID）是一种高效数据传输系统。比特交织和迭代译码是BICM—ID系统具有卓越性能的关键因素,译码算法的选择不仅影响接收机的性能,也决定了系统的复杂度。文中研究迭代译码算法对BICM—ID系统性能的影响,分析各种译码算法的计算复杂度。仿真结果表明log-APP算法有好的性能同时复杂度也高,简化的译码算法能降低译码器的复杂度,但会带来一定的性能损失;随着信道条件的改善,算法简化带来的性能损失也随之减小。     

Multistage decoding of multilevel block M-PSK modulationcodes and its performance analysis

Multistage decoding of multilevel block multilevel phase-shift keying (M-PSK) modulation codes for the additive white Gaussian noise (AWGN) channel is investigated. Several types of multistage decoding, including a suboptimum soft-decision decoding scheme, are devised and analyzed. Upper bounds on the probability of an incorrect decoding of a code are derived for the proposed multistage decoding schemes. Error probabilities of some specific multilevel block 8-PSK modulation codes are evaluated and simulated. The computation and simulation results for these codes show that with multistage decoding, significant coding gains can be achieved with large reduction in decoding complexity. In one example, it is shown that the difference in performance between the proposed suboptimum multistage soft-decision decoding and the single-stage optimum decoding is small, only a fraction of a dB loss in SNR at the block error probability of 10^-6     

Performance of a new decoding method used in open-loop all-optical chaotic communication system

A new decoding method with decoder is used in open-loop all-optical chaotic communi-cation system under strong injection condition. The performance of the new decoding method is nu-merically investigated by comparing it with the common decoding method without decoder. For new decoding method, two cases are analyzed, including whether or not the output of the decoder is ad-justed by its input to receiver. The results indicate the decoding quality can be improved by adjusting for the new decoding method. Meanwhile, the injection strength of decoder can be restricted in a certain range. The adjusted new decoding method with decoder can achieve better decoding quality than decoding method without decoder when the bit rate of message is under 5 Gb/s. However, a stronger injection for receiver is needed. Moreover, the new decoding method can broaden the range of injection strength acceptable for good decoding quality. Different message encryption techniques are tested, and the result is similar to that of the common decoding method, indicative of the fact that the message encoded by using Chaotic Modulation (CM) can be best recovered by the new decoding method owning to the essence of this encryption technique.     

Algebraic Soft-Decision Decoding of Reed–Solomon Codes Using Bit-Level Soft Information

The performance of algebraic soft-decision decoding of Reed–Solomon codes using bit-level soft information is investigated. Optimal multiplicity assignment strategies for algebraic soft-decision decoding (SDD) with infinite cost are first studied over erasure channels and the binary-symmetric channel. The corresponding decoding radii are calculated in closed forms and tight bounds on the error probability are derived. The multiplicity assignment strategy and the corresponding performance analysis are then generalized to characterize the decoding region of algebraic SDD over a mixed error and bit-level erasure channel. The bit-level decoding region of the proposed multiplicity assignment strategy is shown to be significantly larger than that of conventional Berlekamp–Massey decoding. As an application, a bit-level generalized minimum distance decoding algorithm is proposed. The proposed decoding compares favorably with many other Reed–Solomon SDD algorithms over various channels. Moreover, owing to the simplicity of the proposed bit-level generalized minimum distance decoding, its performance can be tightly bounded using order statistics.      

基于遗传算法的快速软判决译码

本文采用遗传算法实现快速软判决译码（ＧＳＤ）。将软判决译码问题转化为相应的组合优化问题,利用遗传算法固有的并行特性和启发式搜索能力,进行快速优化计算,完成快速软判决译码。该算法适合于并行的译码结构,能够在保持译码性能不变的同时,加快译码速度。模拟计算表明：算法的泽码性能和译码速度都比较好,具有较高的实用价值。