一种低迭代次数的极化码置信传播译码算法

针对置信传播(Belief Propagation,BP)译码算法在迭代次数较多时吞吐量和译码时延性能提升受限的问题,提出了一种低迭代次数的极化码BP译码算法,通过采用比特翻转和子信道冻结的方式,降低译码过程中的迭代次数.仿真结果表明,相对于传统极化码BP译码算法(设置最大迭代次数为40次),所提算法在信噪比为3 dB...     

基于CMMB标准准的LDPC码动态译码算法研究

针对低密度奇偶校验码(LDPC)的置信传播算法(BP)、分层算法(LBP)在迭代过程中以随机的节点顺序更新,不能快速达到收敛的特点,本文详细分析了一种选择可靠度小的节点先更新的动态译码算法,并以应用于CMMB标准的LDPC码进行性能仿真.与LBP算法相比,动态算法的译码收敛速度明显提高,译码的平均迭代次数减少50%.最后对动态算法的译码复杂度进行了分析.     

残差扰动网络辅助的BP译码算法

极化码的置信传播(Belief Propagation,BP)译码算法性能相比于其他极化码译码算法并不具有优势。为了改善这一现象,提出了一种基于残差网络和扰动译码算法相结合的BP译码算法。该算法通过在传统BP译码算法的基础上添加残差神经网络对接收信号进行处理,使其更大概率地落在可正确译码区域内,从而达到改善传统BP译码算法的译码性能的目的。仿真结果表明,在误比特率为10－4时,所提算法相比于传统的BP译码算法约有0.7 dB的性能增益,相比于BP-RNND(50)（BP- Residual Neural Network Decoder）译码算法约有0.6 dB的性能增益;同时,在低信噪比时所提算法的平均迭代次数相比于传统BP译码算法约有60%的降低。     

LDPC码中一种基于节点残余的BP译码算法

研究了基于变量节点传递到校验节点的信患残余的LDPC码BP译码(VC-RBP)算法.此算法是一种利用节点间残余信息动态调度的置信传播算法,有着译码速度快、误码率性能优良、复杂度较低的优点.类似于信息残余LDPC码的BP译码(RBP)算法,但在残余信息的计算时有所不同.仿真结果表明,该算法在误码率为10<'-4>、迭代次数为10时优于RBP算法0.28 dB.     

对数似然比置信传播算法的改进

改进对数似然比置信传播(LLR BP)算法,以提高其对低密度奇偶校验(LDPC)码的译码性能。在变量节点间加入信道响应相关性,并在算法中预设迭代次数,以使变量节点间传递的外部信息达到平衡,降低外部信息震荡现象,并保障译码不会因所需迭代次数过大而终止。改进型LLR BP算法可降低误码率,并在信噪比(SNR)较小时降低译码迭代次数。     

一种基于改进线性规划的LDPC码混合译码算法

与基于消息迭代的置信传播译码相比,线性规划(linear programming,LP)译码分析有限长LDPC码性能更为有效。然而,传统LP译码算法运算量非常大,不利于系统实现。本文结合LDPC码校验矩阵的特点,去掉传统LP译码中不必要的约束,得到一种低复杂度LP内点译码算法。为了降低译码延时,将LP内点译码算法与置信传播译码算法结合,提出LDPC码混合译码算法。仿真结果表明,混合译码算法的误码性能优于传统LP译码和BP译码算法,而译码延时低于传统LP译码。     

一种利用多重偏置的RS码软判译码算法

为了提高RS码的纠错性能,本文将基于盒匹配译码算法(BMA)的多重偏置与自适应置信传播算法(ABP)进行级联,提出了一种利用多重偏置基于可信度迭代的RS码软判译码算法,称为ABP-BIAS-BMA,并将其与传统的基于自适应置信传播的级联算法ABP-BMA及自适应置信传播算法ABP进行了译码性能仿真比较.仿真结果表明,提出的ABP-BIAS-BMA算法比ABP-BMA及ABP的译码性能要好,特别在相同信噪比情况下算法整体平均迭代次数较小.     

LDPC码的交替迭代分层置信传播译码

低密度奇偶校验码(LDPC)通过迭代译码算法进行译码,例如置信传播算法(belief-propagation)便是其中一种译码方式。标准BP算法是并行译码,在更新所有校验节点及比特节点过程中,使用上一次迭代的更新信息。为了提高一定迭代次数下的收敛速度,在研究不同算法的基础上,如Layered BP算法(LBP)和Shuffled BP算法(SBP),通过改变节点的更新顺序,提出了改进的shuffled迭代译码算法。相对于普通的SBP算法,文章所提改进型SBP算法是传统置信传播收敛速度的两倍,并且在保持性能的同时降低复杂度。最后给出了CMMB标准下LDPC码的仿真结果。     

光通信系统中一种改进的LLR-BP译码算法

光通信系统中低密度奇偶校验(Low-density Parity-check,LDPC)码采用对数似然比置信传播(Log-likelihood Ratio Belief Propagation,LLR-BP)算法进行译码时,在高信噪比区域迭代译码过程中会出现变量节点外部信息振荡不收敛而导致译码纠错性能的降低.为满足光通信系统的要求,提出了一种削弱外部消息振荡的改进LLR-BP译码算法.该算法通过引入加权系数平衡前后两次迭代之间变量节点传递的外部信息,明显减缓了外部信息的振荡现象.仿真结果表明:与传统LLR-BP译码算法相比,该改进LLR-BP算法具有更佳的误码性能,同时降低变量节点外部信息振荡现象并加快了译码的收敛速度.     

一种简化的LDPC码BP译码算法的研究

低密度奇偶校验码(LDPC码)是一种逼近香农限的线性分组码,译码的复杂度较低;在LDPC码译码算法中性能较好的是置信传播译码(BP)算法,他能够在迭代译码过程中确定码字是否已译出,但是复杂度高,运算量大。采用一种改进的BP译码算法,在迭代译码过程中对校验节点的更新信息进行曲线拟合,以减小译码运算量,有利于硬件的并行实现,减少译码延时。仿真结果表明,改进的BP算法译码性能和原来的BP算法接近,而且复杂度较低。     

A novel decoding algorithm based on the hierarchical reliable strategy for SCG-LDPC codes in optical communications

An effective hierarchical reliable belief propagation （HRBP） decoding algorithm is proposed according to the struc- tural characteristics of systematically constructed Gallager low-density parity-check （SCG-LDPC） codes. The novel decoding algorithm combines the layered iteration with the reliability judgment, and can greatly reduce the number of the variable nodes involved in the subsequent iteration process and accelerate the convergence rate. The result of simulation for SCG-LDPC（3969,3720） code shows that the novel HRBP decoding algorithm can greatly reduce the computing amount at the condition of ensuring the performance compared with the traditional belief propagation （BP） algorithm. The bit error rate （BER） of the HRBP algorithm is considerable at the threshold value of 15, but in the sub- sequent iteration process, the number of the variable nodes for the HRBP algorithm can be reduced by about 70% at the high signal-to-noise ratio （SNR） compared with the BP algorithm. When the threshold value is further increased, the HRBP algorithm will gradually degenerate into the layered-BP algorithm, but at the BER of 10-7 and the maximal iteration number of 30, the net coding gain （NCG） of the HRBP algorithm is 0.2 dB more than that of the BP algo- rithm, and the average iteration times can be reduced by about 40% at the high SNR. Therefore, the novel HRBP de- coding algorithm is more suitable for optical communication systems.     

Variable non-uniform quantized belief propagation algorithm for LDPC decoding

Non-uniform quantization for messages in Low-Density Parity-Check（LDPC）decoding can reduce implementation complexity and mitigate performance loss.But the distribution of messages varies in the iterative decoding.This letter proposes a variable non-uniform quantized Belief Propagation（BP）algorithm.The BP decoding is analyzed by density evolution with Gaussian approximation.Since the probability density of messages can be well approximated by Gaussian distribution,by the unbiased estimation of variance,the distribution of messages can be tracked during the iteration.Thus the non-uniform quantization scheme can be optimized to minimize the distortion.Simulation results show that the variable non-uniform quantization scheme can achieve better error rate performance and faster decoding convergence than the conventional non-uniform quantization and uniform quantization schemes.     

Improving belief propagation on graphs with cycles

In this letter, we propose two modifications to belief propagation (BP) decoding algorithm. The modifications are based on reducing the reliability of messages throughout the iteration process, and are particularly effective for short low-density parity-check codes, where the existence of cycles makes the original BP algorithm perform suboptimal. The proposed algorithms, referred to as "normalized BP" and "offset BP," reduce the absolute value of the outgoing log-likelihood ratio messages at variable nodes by using a multiplicative factor and an additive factor, respectively. Simulation results show that both algorithms perform more or less the same, and both outperform BP in error performance.     

基于Polar码的速率兼容调制方案设计

提出了一种基于Polar码的速率兼容调制（rate compatible modulation,RCM）联合设计方案,用于提高无线通信频谱利用率.相应地设计了基于置信度传播（belief propagation,BP）和软抵消（soft cancellation,SCAN）的接收端高效联合迭代译码算法.根据该算法可通过优化变量节点对数似然比（log-likelihood ratio,LLR）信息迭代方式以及采用限制译码符号上限的改进措施,提高译码过程的稳定性与时效性.与距离优化的级联低密度奇偶校验（low-density parity-check codes,LDPC）码RCM方案对比结果表明,提出的高效联合迭代译码算法在低信噪比（signal noise ratio,SNR）下有更低的译码复杂度,并且具有更优的吞吐量和误码率性能.因此,本文所提方案适合在恶劣信道条件下的无线传输.     

基于振荡迭代的修正BP译码算法

针对中高信噪比(SNR)下低密度奇偶校验(LDPC)译码错误振荡迭代不收敛,提出了基于置信传播(BP)算法的修正LDPC译码算法,即软值归零BP算法。该算法通过将振荡迭代的变量节点传递的外信息置零,减少错误信道消息对迭代译码的影响,较大地改善了译码性能。而且,还给出了振荡迭代节点的判定准则,提高了振荡迭代节点判定的准确性。仿真结果表明,在中高信噪比区且译码迭代次数相同的情况下,该算法能比BP算法获得更好的译码性能。     

LDPC码的一种高效加权比特翻转译码算法

针对低密度奇偶校验(LDPC)码中加权比特翻转(WBF)译码算法在迭代过程中绝大多数情况都是进行单比特翻转,导致译码效率低并且可能会发生比特翻转"死循环"的现象,提出一种更为高效的加权比特翻转(EWBF)算法.该算法对翻转阈值进行了改进,使得每次迭代能够翻转多个比特,提高译码效率,并且能够避免译码过程出现的翻转"死循环"现象.仿真结果表明,所提译码算法与WBF算法、改进的WBF(MWBF)算法和IMWBF(Improved MWBF)算法相比,平均迭代次数分别降低51.6%~56.2%、49.6%~54.2%和48.1%~51.3%;而在译码性能方面,算法性能接近甚至优于IMWBF算法,当最大迭代次数设定为30次时,相比于IMWBF算法,在误码率为10-4时可获得0.92 dB的增益.     

LDPC编码调制系统中基于反馈LLR均值的迭代解调/译码算法

该文针对LDPC码编码的BICM系统,提出一种对LDPC码译码器输出外附信息的计算方法进行改进的迭代解调/译码算法。与传统的解调/译码算法不同在于,该算法对每次BP迭代中译码器输出的各编码比特的外附LLR分别求均值后,再将其作为先验信息反馈给软解调器开始下次的迭代解调/译码。采用该方法可有效地减轻LDPC码在BP迭代过程中某些比特LLR值的振荡现象,从而使得传递给软解调器的外附信息更准确。仿真结果表明,和传统的两种迭代解调/译码算法相比,该算法能进一步提高LDPC编码BICM迭代系统的译码性能,而复杂度并无明显增加。     

Multi-user detection scheme for SCMA systems based on iteration removal

A multi-user detection scheme based on iteration removal (RM-MPA) was proposed to solve the problem of high complexity of decoding algorithm for sparse code multiple access (SCMA) systems.Firstly,a simple and novel method to compare the decoding advantages between users was proposed.Then n users in front of them with higher decoding advantages directly decoded and removed after each iteration,the users removed no longer participate in the subsequent iteration,so the complexity of subsequent iterations decreased gradually.Moreover,two iteration removed strategies based on decoding advantages of users and orthogonal user grouped were proposed respectively.Simulation results show that the RM-MPA with removed strategies based on orthogonal user grouped,which can reduce the decoding complexity with well decoding performance,and the decoding delay is also decreased.