Estimation of the Pseudo Noise Sequence for Multi-Antenna NPLC-DS-CDMA Signals Based on Tensor Decomposition and Polynomial Library Search
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摘要: 针对低信噪比下非周期长码直接序列码分多址(NPLC-DS-CDMA)信号伪码序列估计问题,该文提出一种基于张量分解和多项式库搜索的多天线估计方法。该方法首先对接收信号建模为3阶张量模型并根据扩频增益分割为多个子张量,然后利用交替最小二乘投影(ALSP)算法对子张量进行CP分解得到伪码片段因子矩阵和接收增益因子矩阵,利用接收增益矩阵互相关性和旁瓣能量检测对伪码片段组合序列筛选得到每个用户的伪码序列,最后利用多项式库搜索的方法识别出伪码序列的生成多项式,进一步提高伪码序列估计的正确率。仿真结果表明,所提方法能够实现对NPLC-DS-CDMA信号伪码序列的有效估计。
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关键词:
- 直接序列码分多址 /
- 伪码序列 /
- 张量分解 /
- 交替最小二乘投影算法 /
- 多项式库搜索
Abstract: To deal with the problem of estimation of the pseudo noise sequence for Non-Periodic Long Code Direct Sequence Code Division Multiple Access (NPLC-DS-CDMA) signals under low signal-to-noise ratio, a method using multi-antenna based on tensor decomposition and polynomial library search is proposed. Firstly, the received signals are modeled as a third-order tensor model and the tensor is divided into multiple sub-tensors according to the spreading gain. Secondly, the pseudo noise code fragment factor matrixs and the receiver gain factor matrixs are obtained from the sub-tensors by Canonical Polyadic (CP) decomposition which uses the Alternating Least Squares Projection (ALSP) algorithm, and then the pseudo noise sequence of each user is obtained by selecting pseudo noise code fragment combination sequence according to the cross-correlation of the receiver gain factor matrixs and sidelobe energy detection. Finally, the polynomial library search method is applied to identifying the generator polynomial of the pseudo noise sequence in order to further improve the accuracy of the pseudo code sequence estimation. The simulation results show that the proposed method can effectively estimate the pseudo noise sequence of the multi-antenna NPLC-DS-CDMA signals. -
图 9 本文算法同文献[9]算法迭代次数对比
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张天骐, 杨强, 宋玉龙, 等. 基于相似度的直扩信号盲解扩方法[J]. 系统工程与电子技术, 2017, 39(7): 1451–1456. doi: 10.3969/j.issn.1001-506X.2017.07.04ZHANG Tianqi, YANG Qiang, SONG Yulong, et al. Similarity based blind despread method of DS-SS signal[J]. Systems Engineering and Electronics, 2017, 39(7): 1451–1456. doi: 10.3969/j.issn.1001-506X.2017.07.04 周杨, 张天骐. 同/异步短码DS-CDMA信号伪码序列及信息序列盲估计[J]. 电子与信息学报, 2019, 41(7): 1540–1547. doi: 10.11999/JEIT180812ZHOU Yang and ZHANG Tianqi. Blind estimation of the pseudo noise sequence and information sequence for short code synchronous and asynchronous DS-CDMA signal[J]. Journal of Electronics &Information Technology, 2019, 41(7): 1540–1547. doi: 10.11999/JEIT180812 MA Chao and ZHANG Limin. A Viterbi algorithm for blind estimation of periodic long-code DSSS signals[C]. The 2nd IEEE Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC), Xi’an, China, 2018: 128–132. ZHANG Xiaolin and CHEN Jian. Research on blind reconstruction method of PN sequence for period DSSS signals in low SNR conditions[C]. The 13th IEEE International Conference on Signal Processing (ICSP), Chengdu, China, 2016: 1254–1258. 张天骐, 强幸子, 马宝泽, 等. 基于最小二乘的同步多用户非周期长码直扩信号扩频序列估计[J]. 电波科学学报, 2016, 31(6): 1113–1123. doi: 10.13443/j.cjors.2016030201ZHANG Tianqi, QIANG Xingzi, MA Baoze, et al. Estimation of the spread spectrum sequence for synchronous multi-user aperiodic long-code DSSS signals based on least squares[J]. Chinese Journal of Radio Science, 2016, 31(6): 1113–1123. doi: 10.13443/j.cjors.2016030201 张天骐, 李群, 梁先明, 等. 异步LC-DS-CDMA信号的盲解扩[J]. 系统工程与电子技术, 2019, 41(7): 1639–1645. doi: 10.3969/j.issn.1001-506X.2019.07.27ZHANG Tianqi, LI Qun, LIANG Xianming, et al. Blind dispreading of asynchronous LC-DS-CDMA signals[J]. Systems Engineering and Electronics, 2019, 41(7): 1639–1645. doi: 10.3969/j.issn.1001-506X.2019.07.27 ROUIJEL A, MINAOUI K, COMON P, et al. CP decomposition approach to blind separation for DS-CDMA system using a new performance index[J]. EURASIP Journal on Advances in Signal Processing, 2014, 2014(1): 128. doi: 10.1186/1687-6180-2014-128 赵知劲, 李淼, 吴金沂. 长码直扩信号扩频序列估计[J]. 杭州电子科技大学学报: 自然科学版, 2015, 35(2): 1–4. doi: 10.13954/j.cnki.hdu.2015.02.001ZHAO Zhijin, LI Miao, and WU Jinyi. The spread spectrum code estimation of long-code DSSS signal[J]. Journal of Hangzhou Dianzi University:Natural Sciences, 2015, 35(2): 1–4. doi: 10.13954/j.cnki.hdu.2015.02.001 赵知劲, 尹辉, 强芳芳, 等. 利用张量分解的多天线长码直扩CDMA信号扩频码盲估计[J]. 通信学报, 2018, 39(10): 52–58. doi: 10.11959/j.issn.1000-436x.2018212ZHAO Zhijin, YIN Hui, QIANG Fangfang, et al. Blind estimation of spreading codes for multi-antenna LC-DS-CDMA signals based on tensor decomposition[J]. Journal on Communications, 2018, 39(10): 52–58. doi: 10.11959/j.issn.1000-436x.2018212 SUN Wenyu and YUAN Yaxiang. Optimization Theory and Methods[M]. Boston: Springer, 2006: 119–129. SHEN Bin and WANG Jianxin. Chip rate and pseudo-noise sequence estimation for direct sequence spread spectrum signals[J]. IET Signal Processing, 2017, 11(6): 727–733. doi: 10.1049/iet-spr.2016.0687 GU Xiaowei, ZHAO Zhijin, and SHEN Lei. Blind estimation of pseudo-random codes in periodic long code direct sequence spread spectrum signals[J]. IET Communications, 2016, 10(11): 1273–1281. doi: 10.1049/iet-com.2015.0374 张天骐, 赵亮, 张婷, 等. 一种二进制伪随机序列盲识别方法[J]. 电子与信息学报, 2018, 40(2): 394–399. doi: 10.11999/JEIT170552ZHANG Tianqi, ZHAO Liang, ZHANG Ting, et al. A blind recognition method of binary pseudo-random sequence[J]. Journal of Electronics &Information Technology, 2018, 40(2): 394–399. doi: 10.11999/JEIT170552 DE LATHAUWER L and CASTAING J. Tensor-based techniques for the blind separation of DS-CDMA signals[J]. Signal Processing, 2007, 87(2): 322–336. doi: 10.1016/j.sigpro.2005.12.015 KOLDA T G and BADER B W. Tensor decompositions and applications[J]. SIAM Review, 2009, 51(3): 455–500. doi: 10.1137/07070111X 尹辉, 赵知劲, 姜显扬. 利用BCH码纠错和Fast-ICA的长码直扩CDMA信号扩频码盲估计[J]. 信号处理, 2017, 33(11): 1436–1442. doi: 10.16798/j.issn.1003-0530.2017.11.004YIN Hui, ZHAO Zhijin, and JIANG Xianyang. Blind estimation of spread spectrum codes for LC-DS-CDMA signals based on BCH code error correction and Fast-ICA[J]. Journal of Signal Processing, 2017, 33(11): 1436–1442. doi: 10.16798/j.issn.1003-0530.2017.11.004