作为一种接近香农极限的信道编码,近年来LDPC码被广泛采用,例如欧洲第二代数字视频广播卫星标准DVB-S2和空间数据咨询委员会(CCSDS)遥测信道编码标准就分别采用了LDPC码。文章将讨论LDPC码在卫星导航系统中的应用,内容涵盖星上编码与接...作为一种接近香农极限的信道编码,近年来LDPC码被广泛采用,例如欧洲第二代数字视频广播卫星标准DVB-S2和空间数据咨询委员会(CCSDS)遥测信道编码标准就分别采用了LDPC码。文章将讨论LDPC码在卫星导航系统中的应用,内容涵盖星上编码与接收机解码。GPS联合项目办公室在接口规范(Draft IS-GPS-800,Navstar GPS Space Segment/User Segment L1C Interfaces,19 April 2006)中展现了L1电文结构中的LDPC码。子帧2和子帧3将分别用一个独立的24bit循环冗余检验(CRC)算法。加入CRC比特之后每一子帧将进一步被长度为1200/548码率为1/2的LDPC码编码。文章将给出同等长度同等码率的不同类型的LDPC码。它们表现出了优异的译码性能、简单的编码结构和较低的译码复杂度。另外一个优点是其校验矩阵无需用一系列的冗余表格来表示。这种LDPC码的构造方法可以被扩展到其它卫星导航系统,比如欧洲的伽俐略(Galileo)系统和中国的北斗(Compass)系统。展开更多
A new method of constructing regular low-density parity-check (LDPC) codes was proposed. And the novel class of LDPC codes was applied in a coded orthogonal frequency division multiplexing (OFDM) system. This method e...A new method of constructing regular low-density parity-check (LDPC) codes was proposed. And the novel class of LDPC codes was applied in a coded orthogonal frequency division multiplexing (OFDM) system. This method extended the class of LDPC codes which could be constructed from shifted identity matrices. The method could avoid short cycles in Tanner graphs with simple inequation in the construction of shifting identity matrices, which made the girth of Tanner graphs 8. Because of the quasicyclic structure and the inherent block configuration of parity-check matrices, the encoders and the decoders were practically feasible. They were linear-time encodable and decodable. The LDPC codes proposed had various code rates, ranging from low to high. They performed excellently with iterative decoding and demonstrate better performance than other regular LDPC codes in OFDM systems.展开更多
结构化低密度奇偶校验码可通过基矩阵和扩展因子描述,具有较低的编译码复杂度和优异的译码性能。相比卫星导航系统IS-GPS-800协议中的非规则LDPC码,在校验位采用双对角和"a-0-a"连接关系的结构化LDPC码,同样可以达到线性复杂...结构化低密度奇偶校验码可通过基矩阵和扩展因子描述,具有较低的编译码复杂度和优异的译码性能。相比卫星导航系统IS-GPS-800协议中的非规则LDPC码,在校验位采用双对角和"a-0-a"连接关系的结构化LDPC码,同样可以达到线性复杂度编码。除此以外,通过设置不同的扩展因子和修剪操作,结构化LDPC码可以灵活支持不同多种长度的自适应传输,其中修剪操作的打孔/截短图案可以通过外信息转移(Extrinsic Informa-tion Transfer Charts,EXIT)分析方法优化。结合圈长分布和外信息度数谱联合优化设计方法,提出单个基矩阵的编码方案,通过配置不同的扩展因子和修剪方案,实现多种传输码长配置。译码仿真结果显示经过优化打孔/截短图案修剪的结构化LDPC码的译码性能要略优于IS-GPS-800协议中的非规则LDPC码。展开更多
文摘作为一种接近香农极限的信道编码,近年来LDPC码被广泛采用,例如欧洲第二代数字视频广播卫星标准DVB-S2和空间数据咨询委员会(CCSDS)遥测信道编码标准就分别采用了LDPC码。文章将讨论LDPC码在卫星导航系统中的应用,内容涵盖星上编码与接收机解码。GPS联合项目办公室在接口规范(Draft IS-GPS-800,Navstar GPS Space Segment/User Segment L1C Interfaces,19 April 2006)中展现了L1电文结构中的LDPC码。子帧2和子帧3将分别用一个独立的24bit循环冗余检验(CRC)算法。加入CRC比特之后每一子帧将进一步被长度为1200/548码率为1/2的LDPC码编码。文章将给出同等长度同等码率的不同类型的LDPC码。它们表现出了优异的译码性能、简单的编码结构和较低的译码复杂度。另外一个优点是其校验矩阵无需用一系列的冗余表格来表示。这种LDPC码的构造方法可以被扩展到其它卫星导航系统,比如欧洲的伽俐略(Galileo)系统和中国的北斗(Compass)系统。
文摘A new method of constructing regular low-density parity-check (LDPC) codes was proposed. And the novel class of LDPC codes was applied in a coded orthogonal frequency division multiplexing (OFDM) system. This method extended the class of LDPC codes which could be constructed from shifted identity matrices. The method could avoid short cycles in Tanner graphs with simple inequation in the construction of shifting identity matrices, which made the girth of Tanner graphs 8. Because of the quasicyclic structure and the inherent block configuration of parity-check matrices, the encoders and the decoders were practically feasible. They were linear-time encodable and decodable. The LDPC codes proposed had various code rates, ranging from low to high. They performed excellently with iterative decoding and demonstrate better performance than other regular LDPC codes in OFDM systems.
文摘结构化低密度奇偶校验码可通过基矩阵和扩展因子描述,具有较低的编译码复杂度和优异的译码性能。相比卫星导航系统IS-GPS-800协议中的非规则LDPC码,在校验位采用双对角和"a-0-a"连接关系的结构化LDPC码,同样可以达到线性复杂度编码。除此以外,通过设置不同的扩展因子和修剪操作,结构化LDPC码可以灵活支持不同多种长度的自适应传输,其中修剪操作的打孔/截短图案可以通过外信息转移(Extrinsic Informa-tion Transfer Charts,EXIT)分析方法优化。结合圈长分布和外信息度数谱联合优化设计方法,提出单个基矩阵的编码方案,通过配置不同的扩展因子和修剪方案,实现多种传输码长配置。译码仿真结果显示经过优化打孔/截短图案修剪的结构化LDPC码的译码性能要略优于IS-GPS-800协议中的非规则LDPC码。
