The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based ...The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based on the encoding structure,three theorems are proved,two related to the relationship between the length and rate of the polar code,and one related to the relationship between frozen-bit positions,information-bit positions,and codewords.With these three theorems,polar codes can be quickly reconstruced.In addition,to detect the dual vectors of codewords,the statistical characteristics of the log-likelihood ratio are analyzed,and then the information-and frozen-bit positions are distinguished based on the minimumerror decision criterion.The bit rate is obtained.The correctness of the theorems and effectiveness of the proposed algorithm are validated through simulations.The proposed algorithm exhibits robustness to noise and a reasonable computational complexity.展开更多
Polar codes represent one of the major breakthroughs in 5G standard,and have been proven to be able to achieve the symmetric capacity of binary-input discrete memoryless channels using the successive cancellation list...Polar codes represent one of the major breakthroughs in 5G standard,and have been proven to be able to achieve the symmetric capacity of binary-input discrete memoryless channels using the successive cancellation list(SCL)decoding algorithm.However,the SCL algorithm suffers from a large amount of memory overhead.This paper proposes an adaptive simplified decoding algorithm for multiple cyclic redundancy check(CRC)polar codes.Simulation results show that the proposed method can reduce the decoding complexity and memory space.It can also acquire the performance gain in the low signal to noise ratio region.展开更多
为了研究Polar码在编码调制(CM)系统中的性能,提出了一种基于Polar码的比特交织编码调制(BICM)系统.分析了高斯白噪声(AWGN)信道中不同调制方式对系统误比特率(BER)性能的影响,并将所提系统的BER性能与基于低密度奇偶校验(LDPC)码的BIC...为了研究Polar码在编码调制(CM)系统中的性能,提出了一种基于Polar码的比特交织编码调制(BICM)系统.分析了高斯白噪声(AWGN)信道中不同调制方式对系统误比特率(BER)性能的影响,并将所提系统的BER性能与基于低密度奇偶校验(LDPC)码的BICM系统性能进行了对比.仿真结果表明,在QPSK调制下,基于Polar码的BICM系统与基于Polar码的无编码调制系统的BER曲线几乎完全重合;而在16QAM调制下,当码长较大时,基于Polar码的BICM系统较基于Polar码的无编码调制系统最大节省0.8 d B的比特信噪比.当信道编码码长为1 024、码率为0.5时,在中高比特信噪比区域上,基于Polar码的BICM系统可比基于LDPC码的BICM系统获得至少2 d B的比特信噪比增益.展开更多
文中研究Polar码在图像传输系统中的应用,讨论Polar码的译码迭代次数、码长、码率等因素对恢复图像的影响,并与等同条件下的低密度奇偶校验码(Low Density Parity Check Code,LDPC)在图像传输中的性能进行比较。数值仿真表明:随着Polar...文中研究Polar码在图像传输系统中的应用,讨论Polar码的译码迭代次数、码长、码率等因素对恢复图像的影响,并与等同条件下的低密度奇偶校验码(Low Density Parity Check Code,LDPC)在图像传输中的性能进行比较。数值仿真表明:随着Polar码译码迭代次数增加、码长增长和码率减小,图像传输的误块率(Block Error Rate,BER)减小,峰值信噪比(Peak Signal to Noise Ratio,PSNR)增大。同时在码长为2 048,码率为0.5时,Polar码在图像传输中的性能比LDPC码的性能有明显地提高,在输入信噪比为3 dB时,Polar码的误块率有102增强,PSNR值有4倍的提高。展开更多
基金supported by the National Natural Science Foundation of China(62371465)Taishan Scholar Project of Shandong Province(ts201511020)the Chinese National Key Laboratory of Science and Technology on Information System Security(6142111190404).
文摘The syndrome a posteriori probability of the log-likelihood ratio of intercepted codewords is used to develop an algorithm that recognizes the polar code length and generator matrix of the underlying polar code.Based on the encoding structure,three theorems are proved,two related to the relationship between the length and rate of the polar code,and one related to the relationship between frozen-bit positions,information-bit positions,and codewords.With these three theorems,polar codes can be quickly reconstruced.In addition,to detect the dual vectors of codewords,the statistical characteristics of the log-likelihood ratio are analyzed,and then the information-and frozen-bit positions are distinguished based on the minimumerror decision criterion.The bit rate is obtained.The correctness of the theorems and effectiveness of the proposed algorithm are validated through simulations.The proposed algorithm exhibits robustness to noise and a reasonable computational complexity.
基金supported by the National Key R&D Program of China(2018YFB2101300)the National Science Foundation of China(61973056)
文摘Polar codes represent one of the major breakthroughs in 5G standard,and have been proven to be able to achieve the symmetric capacity of binary-input discrete memoryless channels using the successive cancellation list(SCL)decoding algorithm.However,the SCL algorithm suffers from a large amount of memory overhead.This paper proposes an adaptive simplified decoding algorithm for multiple cyclic redundancy check(CRC)polar codes.Simulation results show that the proposed method can reduce the decoding complexity and memory space.It can also acquire the performance gain in the low signal to noise ratio region.
文摘为了研究Polar码在编码调制(CM)系统中的性能,提出了一种基于Polar码的比特交织编码调制(BICM)系统.分析了高斯白噪声(AWGN)信道中不同调制方式对系统误比特率(BER)性能的影响,并将所提系统的BER性能与基于低密度奇偶校验(LDPC)码的BICM系统性能进行了对比.仿真结果表明,在QPSK调制下,基于Polar码的BICM系统与基于Polar码的无编码调制系统的BER曲线几乎完全重合;而在16QAM调制下,当码长较大时,基于Polar码的BICM系统较基于Polar码的无编码调制系统最大节省0.8 d B的比特信噪比.当信道编码码长为1 024、码率为0.5时,在中高比特信噪比区域上,基于Polar码的BICM系统可比基于LDPC码的BICM系统获得至少2 d B的比特信噪比增益.
文摘文中研究Polar码在图像传输系统中的应用,讨论Polar码的译码迭代次数、码长、码率等因素对恢复图像的影响,并与等同条件下的低密度奇偶校验码(Low Density Parity Check Code,LDPC)在图像传输中的性能进行比较。数值仿真表明:随着Polar码译码迭代次数增加、码长增长和码率减小,图像传输的误块率(Block Error Rate,BER)减小,峰值信噪比(Peak Signal to Noise Ratio,PSNR)增大。同时在码长为2 048,码率为0.5时,Polar码在图像传输中的性能比LDPC码的性能有明显地提高,在输入信噪比为3 dB时,Polar码的误块率有102增强,PSNR值有4倍的提高。
