基于矩阵填充和三阶相关的长短码DS-CDMA信号多伪码盲估计

赵知劲; 李淼; 尚俊娜

doi:10.11999/JEIT151087

基于矩阵填充和三阶相关的长短码DS-CDMA信号多伪码盲估计

doi: 10.11999/JEIT151087

2.
(杭州电子科技大学通信工程学院杭州 310018) ②(中国电子科技集团第三十六研究所嘉兴 314033)

基金项目:

国家自然科学基金(61571172)

计量
- 文章访问数: 1357
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- 被引次数: 0
出版历程
- 收稿日期: 2015-09-23
- 修回日期: 2016-02-26
- 刊出日期: 2016-07-19

Blind Estimation of LSC-DS-CDMA Signal Based on Matrix Completion and Triple Correlation

2.
(School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China)

Funds:

The National Natural Science Foundation of China (61571172)

摘要

摘要: 由于长短码直扩码分多址(LSC-DS-CDMA)信号包含了多个用户的长码和短码，已有的直扩码分多址信号的盲伪码估计方法不再适用。为此该文提出一种基于矩阵填充和三阶相关的伪码估计方法。首先从理论上将结构复杂的LSC-DS-CDMA信号构建为多用户短码扩频的缺失矩阵模型，将复合码矩阵估计建模为盲源信号分离问题；然后将矩阵填充理论应用于复合码矩阵估计，提出基于奇异值阈值算法和快速独立成分分析算法的各用户复合码序列估计方法；最后利用m序列的移位相加性特性，提出延迟三阶相关算法，从各用户复合码序列中估计其包含的长短伪码序列。仿真表明，当信噪比高于-2 dB时，该文算法的长短伪码估计平均误码率低于0.1%。
- 伪码 /
- 长短码直扩码分多址 /
- 矩阵填充 /
- 盲源分离 /
- 延迟三阶相关函数
Abstract: As the Long and Short Codes Direct Sequence Code Division Multiple Access (LSC-DS-CDMA) signal contains long and short PN codes of multi-user, the existing methods of PN codes blind estimation for the Direct Sequence Code Division Multiple Access (DS-CDMA) signal are no longer applicable. Then a pseudo random (PN) codes estimation method based on matrix completion and triple correlation is proposed. Firstly, LSC-DS-CDMA signal is represented as a matrix model with missing data for multi-user short code and the composite code matrix estimation is modeled as a blind source separation problem in the theory. Secondly, matrix completion theory is used to estimate the composite code subspace. A method of the composite code sequences estimation is proposed based on the singular value thresholding algorithm and Fast-ICA algorithm. Finally, the delayed triple correlation algorithm is presented to estimate the long and short PN codes from the composite code sequences based on the shift-and-add property of m sequence. Simulations show that the bit error rate of long and short codes sequences can be reduced to 0.1% when the SNR is above -2 dB.

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参考文献(32)

曾兴雯. 扩展频谱通信及其多址技术[M]. 西安: 西安电子科技大学出版社, 2004: 217-227.

ZENG Xingwen. Spread Spectrum Communication and Multiple Access Technology[M]. Xian: Xian Electronic Sience Technology University Press, 2004: 217-227.

JOUTSENSALO J. Semi-blind CDMA code estimation in downlink[C]. 48th IEEE Vehicular Technology Conference, Ottawa, 1998: 1356-1360. doi: 10.1109/VETEC.1998.686472

QIU P Y, HUANG Z T, JIANG W L, et al. Blind multiuser spreading sequences estimation algorithm for the direct-sequence code division multiple access signals[J]. IET Signal Processing, 2010, 4(5): 465-478. doi: 10.1049/iet-spr. 2008.0254.

SIDIROPOULOS N D, GIANNAKIS G B, and BRO R. Blind PARAFAC receivers for DS-CDMA systems[J]. IEEE Transactions on Signal Processing, 2000, 48(3): 810-823. doi: 10.1109/78.824675.

付卫红，杨小牛，刘乃安. 基于盲源分离的CDMA多用户检测与伪码估计[J]. 电子学报, 2008, 36(7): 1319-1323.

FU Weihong, YANG Xiaoniu, and LIU Naian. Multi-user detection and chip sequence estimation for CDMA system based on the blind source separation[J]. Acta Electronica Sinica, 2008, 36(7): 1319-1323.

张天骐, 周圣, 高丽, 等. 基于模糊酉矩阵TD-SCDMA突发信号组合码的盲估计[J]. 电子与信息学报, 2013, 35(6): 1357-1364. doi: 10.3724/SP.J.1146.2012.01007.

ZHANG Tianqi, ZHOU Sheng, GAO Li, et al. Blind estimation of the combination code of TD-SCDMA burst signal based on fuzzy unitary matrix[J]. Journal of Electronics Information Technology, 2013, 35(6): 1357-1364. doi: 10.3724/SP.J.1146.2012.01007.

陆凤波, 黄知涛, 姜文利. 基于Fast-ICA的CDMA信号扩频序列盲估计及性能分析[J]. 通信学报, 2011, 32(8): 136-142.

LU Fengbo, HUANG Zhitao, and JIANG Wenli. Blind estimation of spreading sequence of CDMA signals based on Fast-ICA and performance analysis[J]. Journal on Communications, 2011, 32(8): 136-142.

任啸天, 徐晖, 黄知涛, 等. 基于Fast-ICA的CDMA信号扩频序列优化盲估计[J]. 电子学报, 2012, 40(8): 1532-1538. doi: 10.3969/j.issn.0372-2112.2012.08.006.

REN Xiaotian, XU Hui, HUANG Zhitao, et al. Fast-ICA based optimize blind estimation of spreading sequence of CDMA signals[J]. Acta Electronica Sinica, 2012, 40(8): 1532-1538. doi: 10.3969/j.issn.0372-2112.2012.08.006.

张立民, 钟兆根, 武恒州. 基于贝叶斯模型的长码DS-CDMA信号扩频码与信息序列联合估计[J]. 航空学报, 2013, 34(5): 1191-1203. doi: 10.7527/S1000-6893.2013.0205.

ZHANG Limin, ZHONG Zhaogen, and WU Hengzhou. Joint estimation of spreading codes and information sequences for long codes DS-CDMA signals based on Bayesian model[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(5): 1191-1203. doi: 10.7527/S1000-6893.2013.0205.

张旻, 吕全通, 朱宇轩. 基于线性分组码的自同步扰码盲识别[J]. 应用科学学报, 2015, 33(2): 178-186. doi: 10.3969/j.issn. 0255-8297.2015.02.007.

ZHANG Min, L Quantong, and ZHU Yuxuan. Blind recognition of self-synchronized scrambler based on linear block code[J]. Journal of Applied Sciences, 2015, 33(2): 178-186. doi: 10.3969/j.issn.0255-8297.2015.02.007.

赵知劲, 顾骁炜, 沈雷. 非周期长码直扩信号的长扰码识别[J]. 电子与信息学报, 2014, 36(8): 1792-1797. doi: 10.3724/SP.J. 1146.2013.01454.

ZHAO Zhijin, GU Xiaowei, and SHEN Lei. An identification method of long pseudo-random code sequence in non-periodic direct sequence spread spectral signals[J]. Journal of Electronics Information Technology, 2014, 36(8): 1792-1797. doi: 10.3724/SP.J.1146.2013.01454.

赵知劲, 顾骁炜, 沈雷, 等. 非周期长码直扩信号的盲解扩[J]. 信号处理, 2014, 30(5): 511-516.

ZHAO Zhijin, GU Xiaowei, SHEN Lei, et al. Blind despreading of non-periodic long code direct-sequence spread-spectrum signals[J]. Journal of Signal Processing, 2014, 30(5): 511-516.

赵知劲, 顾骁炜, 沈雷, 等. 非周期长码直扩信号的伪随机码盲估计[J]. 通信学报, 2015, 36(5): 2015121-12015121-8. doi: 10.11959/j.issn.1000-436x.2015121.

ZHAO Zhijin, GU Xiaowei, SHEN Lei, et al. Blind estimation of pseudo-random codes in non-periodic long code direct-sequence spread-spectrum signals[J]. Journal on

Communications, 2015, 36(5): 2015121-12015121-8. doi: 10.11959/j.issn. 1000-436x.2015121.

彭义刚, 索津莉, 戴琼海, 等. 从压缩传感到低秩矩阵恢复: 理论与应用[J]. 自动化学报, 2013, 39(7): 981-994. doi: 10.3724/ SP.J.1004.2013.00981.

PENG Yigang, SUO Jinli, DAI Haiqiong, et al. From compressed sensing to low-rank matrix recovery: theory and applications[J]. Acta Automatica Sinica, 2013, 39(7): 981-994. doi: 10.3724/SP.J.1004.2013.00981.

EMMANUEL C and RECHT B. Exact matrix completion via convex optimization[J]. Foundations of Computational Mathematics, 2009, 9(6): 717-772. doi: 10.1007/s10208-009- 9045-5.

CAI J F and CANDES E J. A singular value thresholding algorithm for matrix completion[J]. SIAIU Journal on Optimization, 2008, 20(4): 1956-1982. doi: 10.1137/ 080738970.

陈峰峰. 奇异值阈值算法在Netflix问题中的应用研究[D]. [博士论文], 清华大学, 2011.

CHEN Fengfeng. A study of the application of SVT algorithm in Netflix problem[D]. [Ph.D. dissertation], Tsinghua University, 2011.

赵玉娟, 郑宝玉, 陈守宁. 矩阵填充及其在信号处理中的应用[J]. 信号处理, 2015, 31(4): 423-436.

ZHAO Yujuan, ZHENG Baoyu, and CHEN Shouning. Matrix completion and its application in signal processing[J]. Journal of Signal Processing, 2015, 31(4): 423-436.

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