LIU Haoran,JIANG Mingxing,ZHENG Jiran,et al.Blind Identification for the Trellis-Coded Modulation[J].Journal of Chengdu University of Information Technology,2025,40(04):466-471.[doi:10.16836/j.cnki.jcuit.2025.04.009]
TCM码的盲识别算法
- Title:
- Blind Identification for the Trellis-Coded Modulation
- 文章编号:
- 2096-1618(2025)04-0466-06
- 关键词:
- TCM码; 盲识别; 高误码率; 分段Walsh-Hadamard变换; 线性系数方程组
- Keywords:
- trellis coded modulation; blind identification; high BER; Walsh-Hadamard transform; linear coefficient equations
- 分类号:
- TP911
- 文献标志码:
- A
- 摘要:
- 针对(n,k,K)TCM码,提出一种主要应用于高误码率情况下的盲识别方法,采用Walsh-Hadamard变换,在信道编码领域内实现有效的盲识别。在TCM编码中给出盲识别的数学模型,建立一个线性方程组,以获取与生成多项式相关的系数矩阵。随后,通过应用Walsh-Hadamard变换,对二进制域内含有一定错误的线性系数方程组进行处理。此外,通过对高维的线性系数方程组进行分段,对Walsh-Hadamard变换的应用进行优化。分段的目的是将该线性系统转化为两个低维的线性系数方程组,对这两个低维线性系数方程组进行求解。利用分段Walsh-Hadamard变换简化了求解过程,大大降低了对资源和内存的需求。通过仿真验证该算法的可行性,即使在误码率升高的情况下,盲识别算法也具有良好的自适应能力。在误码率为4%的条件下,算法的识别率能到达90%。
- Abstract:
- A blind identification method is proposed for(n,k,K)trellis-coded modulation,which is mainly applied for parameter identification in high BER cases.The method employed the Walsh-Hadamard transform to achieve effective blind identification in the field of channel coding.A mathematical model for blind identification is given in TCM coding,which leads to a system of linear equations to obtain the coefficient matrix associated with the generating polynomials.Then,the system of linear coefficient equations containing certain errors in the binary domain is processed by applying the Walsh-Hadamard transform.In addition,the application of the Walsh-Hadamard transform is optimized by segmenting the high-dimensional system of linear coefficient equations.The purpose of segmentation is to transform this linear system into two low-dimensional systems of linear coefficient equations,which are subsequently solved.Utilizing the segmented Walsh-Hadamard transform not only simplifies the solution process but also greatly reduces the resource and memory requirements.The feasibility of the algorithm is verified through simulation,and the blind recognition algorithm has good adaptive capability even in the case of elevated BER.The recognition rate of the algorithm can reach 90% with a BER of 4%.
参考文献/References:
[1] 张旻,陆凯,李歆昊.Turbo编码类型的盲识别方法[J]. 电子测量与仪器学报,2015,29(5):701-707.
[2] Bringer J,Chabanne H.Code reverse engineering problem for identification codes[J]. arXiv preprint arX-iv:1105.1601,2011.
[3] 王丹,李雨朦,刘强,等.基于最大似然译码的快速信道编码盲识别算法[J]. 信号处理,2018,34(5):620-628.
[4] 吴涛.卷积码盲识别技术研究[D]. 北京:北京邮电大学,2021.
[5] 钟兆根,刘杰,张立民.基于极大极小准则下的(n,k,m)卷积码识别[J]. 系统工程与电子技术,2019,41(5):1133-1142.
[6] 刘健.信道编码的盲识别技术研究[D]. 西安:西安电子科技大学,2012.
[7] 任亚博.误码条件下信道编码识别研究[D]. 北京:清华大学,2016.
[8] 王静.8PSK+TCM编码调制解调技术[D]. 南京:南京理工大学,2012.
[9] Yu P D,Peng H,LI J.On blind recognition of channel codes within a candidate set[J]. IEEE Communications Letters,2016,20(4):736-739.
[10] Moosavi R,Larsson E G.Fast blind recognition of channel codes[J]. IEEE Transactions,2014,62(5):1393-1405.
[11] 杨勇.快速盲识别(n,k,m)系统卷积码的解方程方法[J]. 计算机应用,2013,33(S2):77-79.
[12] 解辉,王丰华,黄知涛,等.基于改进欧几里得算法的卷积码快速盲识别算法[J]. 国防科技大学学报,2012,34(6):158-162.
[13] 黄丽.基于代数结构的交织器与卷积码的盲识别研究[D]. 合肥:中国科学技术大学,2016.
[14] 杨晓静,刘建成,张玉.基于求解校验序列的(n,k,m)卷积码盲识别[J]. 宇航学报,2013,34(4):568-573.
[15] 韩树楠,张旻,李歆昊.高容错(2,1,m)卷积码快速盲识别方法[J]. 西安交通大学学报,2017,51(12):28-34.
[16] 解辉,王丰华,黄知涛.基于最大似然检测的(n,1,m)卷积码盲识别方法[J]. 电子与信息学报,2013,35(7):1671-1676.
[17] Wang Y,Wang F H,Huang Z T.Blind recognition of(n,k,m)convolutional code based on local decision in a noisy environment[C]. International Conference on Automation,Mechanical Control and Computational Engineering,Jiman,China,2015:554-559.
[18] 刘健,王晓君,周希元.基于Walsh-Hadamard变换的卷积码盲识别[J]. 电子与信息学报,2010,32(4):884-888.
[19] 张岱,张玉,杨晓静等.基于分段抽取软判决加权Walsh Hadamard变换的卷积码识别算法[J]. 兵工学报,2015,36(12):2298-2305.
[20] F Wang,Hui Xie,Huang Z.Blind reconstruction of convolutional code based on segmented Walsh-Hadamard transform[J]. Journal of Systems Engineering and Electronics,2014,25(5):748-754.
备注/Memo
收稿日期:2024-02-21