Blind Estimation of LSC-DS-CDMA Signal Based on Matrix Completion and Triple Correlation
ZHAO Zhijin①② LI Miao① SHANG Junna①
①(School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China) ②(The 36 Research Institute of China Electronic Technology Corporation, Jiaxing 314033, China)
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methods of PN codes blind estimation for the Direct Sequence Code Division Multiple Access (DS-CDMA) signal are no longer applicable.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.
赵知劲,李淼,尚俊娜. 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[J]. 电子与信息学报, 2016, 38(7): 1788-1793.
ZHAO Zhijin, LI Miao, SHANG Junna. Blind Estimation of LSC-DS-CDMA Signal Based on Matrix Completion and Triple Correlation. JEIT, 2016, 38(7): 1788-1793.
ZENG Xingwen. Spread Spectrum Communication and Multiple Access Technology[M]. Xi’an: Xi’an Electronic Sience & Technology University Press, 2004: 217-227.
[2]
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
[3]
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.
[4]
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.
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.
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.
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.
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.
ZHANG Min, LÜ 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.
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.
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.
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
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.
[15]
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.
[16]
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.
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.
