基于张量分解的DS-CDMA盲数据检测研究
Research on Blind Data Detection for DS-CDMA Based on Tensor Decomposition
DOI: 10.12677/MOS.2023.123275, PDF,   
作者: 周 婧, 戴泽安, 张志超:南京信息工程大学数学与统计学院,江苏 南京
关键词: 张量分解PARAFAC模型COMFAC算法DS-CDMA蒙特卡洛Tensor Decomposition PARAFAC Model COMFAC Algorithm DS-CDMA Monte Carlo
摘要: 为了节约建造天线的成本,本文借助张量分解技术,在DS-CDMA系统中建立PARAFAC模型,固定用户数量(6)、扩频码数(4)和符号快照的块长度数(50),改变信噪比和天线的数量,通过蒙特卡洛方法模拟生成多维阵列信号,执行COMFAC算法进行盲数据检测来求出误码率,进而在相同的信噪比条件下将误码率与天线数量进行数据拟合,最后结合拟合函数曲线和拟合方程得出最优天线数。研究结果表明拟合优度都达到90%以上,高信噪比的最优天线数少,稳定为5根;低信噪比的最优天线数多,并且不稳定。
Abstract: In order to save the cost of antenna construction, the PARAFAC model is established in DS-CDMA system by means of tensor decomposition technology. Then the number of users (6), spread spec-trum code (4) and block length of symbolic snapshot (50) are fixed. Also the signal-to-noise ratio and the number of antennas are changed. Multi-dimensional array signal is simulated by Monte Carlo method. COMFAC algorithm is used to detect blind data to calculate bit error rate. Then, under the same SNR condition, the bit error rate and the number of antennas were fitted. Finally, the op-timal number of antennas was obtained by combining the fitting function curve and fitting equa-tion. The results show that the goodness of fit is more than 90%, and the number of optimal anten-nas with high signal-to-noise ratio is less, and the stable number is 5. The optimal antennas with low signal-to-noise ratio are numerous and unstable.
文章引用:周婧, 戴泽安, 张志超. 基于张量分解的DS-CDMA盲数据检测研究[J]. 建模与仿真, 2023, 12(3): 2976-2993. https://doi.org/10.12677/MOS.2023.123275

参考文献

[1] Cichocki, A., Mandic, D., De Lathauwer, L., et al. (2015) Tensor Decompositions for Signal Processing Applications: From Two-Way to Multiway Component Analysis. IEEE Signal Processing Magazine, 32, 145-163. [Google Scholar] [CrossRef
[2] 丁真苹. 基于张量分解的大规模MIMO半盲信道估计和空时编码技术研究[D]: [硕士学位论文]. 郑州: 郑州大学, 2021.
[3] Sidiropoulos, N.D., Giannakis, G.B. and Bro, R. (2000) Blind PARAFAC Receivers for DS-CDMA Systems. IEEE Transactions on Signal Processing, 48, 810-823. [Google Scholar] [CrossRef
[4] Sørensen, M., De Lathauwer, L. and Deneire, L. (2010) PARAFAC with Or-thogonality in One Mode and Applications in DS-CDMA Systems. 2010 IEEE International Conference on Acoustics, Speech and Signal Processing, Dallas, 14-19 March 2010, 4142-4145. [Google Scholar] [CrossRef
[5] Fernandes, C.A.R., de Almeida, A.L.F. and da Costa, D.B. (2012) Unified Tensor Modeling for Blind Receivers in Multiuser Uplink Cooperative Systems. IEEE Signal Processing Letters, 19, 247-250. [Google Scholar] [CrossRef
[6] 刘旭, 许宗泽. 正交约束PARAFAC的DS-CDMA盲接收机[J]. 应用科学学报, 2009, 27(2): 131-136.
[7] Bro, R., Sidiropoulos, N.D. and Giannakis, G.B. (1999) A Fast Least Squares Algo-rithm for Separating Trilinear Mixtures. Workshop on Independent Component Analysis and Blind Separation, Aussois, 11-15 January 1999, 11-15.
[8] De Lathauwer, L. and Castaing, J. (2007) Tensor-Based Techniques for the Blind Separation of DS-CDMA Signals. Signal Processing, 87, 322-336. [Google Scholar] [CrossRef
[9] 曾卉露. 基于复平行因子的多故障源盲分离方法研究[D]: [硕士学位论文]. 南昌: 南昌航空大学, 2021.
[10] 于桂晨. 大规模张量的表示方法及应用研究[D]: [硕士学位论文]. 大连: 大连理工大学, 2020.
[11] 张珽. 基于蒙特卡罗方法的通信系统误码率的仿真[J]. 无线通信技术, 2010, 19(1): 20-22+25.
[12] 曾璐, 谢晓尧. 基于MATLAB扩频通信系统误码率的研究[J]. 通信技术, 2011, 44(11): 25-26+29.
[13] 李开泰, 黄艾香. 张量分析及其应用[M]. 北京: 科学出版社, 2004.
[14] 张贤达. 矩阵分析与应用[M]. 北京: 清华大学出版社, 2004.
[15] Rao, C.R. (1970) Estimation of Heteroscedastic Variances in Lin-ear Models. Journal of the American Statistical Association, 65, 161-172. [Google Scholar] [CrossRef
[16] 刘越. 基于张量分解的MIMO系统半盲信道估计算法研究[D]: [硕士学位论文]. 郑州: 郑州大学, 2016.
[17] Kruskal, J.B. (1977) Three-Way Arrays: Rank and Uniqueness of Trilinear Decompositions, with Application to Arithmetic Complexity and Statistics. Linear Algebra and Its Applications, 18, 95-138. [Google Scholar] [CrossRef