低密度奇偶校验(Low density parity check,LDPC)跳码可以在物理层基于跳变的校验矩阵进行差错控制编译码。准循环低密度奇偶校验码(Quasi-cyclic low density parity check code,QC-LDPC)因其良好的纠错性能和易于工程实现的优点而得...低密度奇偶校验(Low density parity check,LDPC)跳码可以在物理层基于跳变的校验矩阵进行差错控制编译码。准循环低密度奇偶校验码(Quasi-cyclic low density parity check code,QC-LDPC)因其良好的纠错性能和易于工程实现的优点而得到广泛应用。本文提出了一种简单且易于工程实现的QC-LDPC跳码设计方法。首先采用有限域的两类子群设计跳变的基矩阵,再通过基模图码的外信息转移算法对基矩阵散列的校验矩阵进行掩模,使跳变矩阵具有统一架构和快速编码结构。仿真和分析表明,设计的QC-LDPC跳码具有超大的跳变码集和良好的纠错性能,码集中LDPC码数目可达1034个,随着码长增加,码集中的LDPC码数目呈指数倍增加,其平均性能可与诸多协议中的LDPC码相当,可用于提升通信系统的可靠性和安全性。展开更多
In this paper,we present a new class of spatially coupled codes obtained by using both non-recursive and recursive block-oriented superposition.The resulting codes are termed as bidirectional block Markov superpositio...In this paper,we present a new class of spatially coupled codes obtained by using both non-recursive and recursive block-oriented superposition.The resulting codes are termed as bidirectional block Markov superposition transmission(BiBMST)codes.Firstly,we perform an iterative decoding threshold analysis according to protograph-based extrinsic information transfer(PEXIT)charts for the BiBMST codes over the binary erasure channels(BECs).Secondly,we derive the generator and parity-check matrices of the BiBMST codes.Thirdly,extensive numerical results are presented to show the advantages of the proposed BiBMST codes.Particularly,our numerical results show that,under the constraint of an equal decoding latency,the BiBMST codes perform better than the recursive BMST(rBMST)codes.However,the simulation results show that,in finite-length regime,negligible performance gain is obtained by increasing the encoding memory.We solve this limitation by introducing partial superposition,and the resulting codes are termed as partially-connected BiBMST(PC-BiBMST)code.Analytical results have confirmed the advantages of the PC-BiBMST codes over the original BiBMST codes.We also present extensive simulation results to show the performance advantages of the PC-BiBMST codes over the spatially coupled low-density parity-check(SC-LDPC)codes,spatially coupled generalized LDPC(SC-GLDPC)codes,and the original BiBMST codes in the finite-length regime.展开更多
文摘低密度奇偶校验(Low density parity check,LDPC)跳码可以在物理层基于跳变的校验矩阵进行差错控制编译码。准循环低密度奇偶校验码(Quasi-cyclic low density parity check code,QC-LDPC)因其良好的纠错性能和易于工程实现的优点而得到广泛应用。本文提出了一种简单且易于工程实现的QC-LDPC跳码设计方法。首先采用有限域的两类子群设计跳变的基矩阵,再通过基模图码的外信息转移算法对基矩阵散列的校验矩阵进行掩模,使跳变矩阵具有统一架构和快速编码结构。仿真和分析表明,设计的QC-LDPC跳码具有超大的跳变码集和良好的纠错性能,码集中LDPC码数目可达1034个,随着码长增加,码集中的LDPC码数目呈指数倍增加,其平均性能可与诸多协议中的LDPC码相当,可用于提升通信系统的可靠性和安全性。
基金supported by the National Natural Science Foundation of China(Nos.62271233,12271215,and 62261003)the Basic Research Program of Guangzhou Municipal Science and Technology Bureau(No.202201020036)the Guangdong Provincial Natural Science Foundation(Nos.2022A1515010029 and 2021A1515011906).
文摘In this paper,we present a new class of spatially coupled codes obtained by using both non-recursive and recursive block-oriented superposition.The resulting codes are termed as bidirectional block Markov superposition transmission(BiBMST)codes.Firstly,we perform an iterative decoding threshold analysis according to protograph-based extrinsic information transfer(PEXIT)charts for the BiBMST codes over the binary erasure channels(BECs).Secondly,we derive the generator and parity-check matrices of the BiBMST codes.Thirdly,extensive numerical results are presented to show the advantages of the proposed BiBMST codes.Particularly,our numerical results show that,under the constraint of an equal decoding latency,the BiBMST codes perform better than the recursive BMST(rBMST)codes.However,the simulation results show that,in finite-length regime,negligible performance gain is obtained by increasing the encoding memory.We solve this limitation by introducing partial superposition,and the resulting codes are termed as partially-connected BiBMST(PC-BiBMST)code.Analytical results have confirmed the advantages of the PC-BiBMST codes over the original BiBMST codes.We also present extensive simulation results to show the performance advantages of the PC-BiBMST codes over the spatially coupled low-density parity-check(SC-LDPC)codes,spatially coupled generalized LDPC(SC-GLDPC)codes,and the original BiBMST codes in the finite-length regime.
