基于矩陣填充和三階相關(guān)的長(zhǎng)短碼DS-CDMA信號(hào)多偽碼盲估計(jì)
doi: 10.11999/JEIT151087
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2.
(杭州電子科技大學(xué)通信工程學(xué)院 杭州 310018) ②(中國(guó)電子科技集團(tuán)第三十六研究所 嘉興 314033)
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(61571172)
Blind Estimation of LSC-DS-CDMA Signal Based on Matrix Completion and Triple Correlation
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2.
(School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China)
Funds:
The National Natural Science Foundation of China (61571172)
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摘要: 由于長(zhǎng)短碼直擴(kuò)碼分多址(LSC-DS-CDMA)信號(hào)包含了多個(gè)用戶的長(zhǎng)碼和短碼,已有的直擴(kuò)碼分多址信號(hào)的盲偽碼估計(jì)方法不再適用。為此該文提出一種基于矩陣填充和三階相關(guān)的偽碼估計(jì)方法。首先從理論上將結(jié)構(gòu)復(fù)雜的LSC-DS-CDMA信號(hào)構(gòu)建為多用戶短碼擴(kuò)頻的缺失矩陣模型,將復(fù)合碼矩陣估計(jì)建模為盲源信號(hào)分離問題;然后將矩陣填充理論應(yīng)用于復(fù)合碼矩陣估計(jì),提出基于奇異值閾值算法和快速獨(dú)立成分分析算法的各用戶復(fù)合碼序列估計(jì)方法;最后利用m序列的移位相加性特性,提出延遲三階相關(guān)算法,從各用戶復(fù)合碼序列中估計(jì)其包含的長(zhǎng)短偽碼序列。仿真表明,當(dāng)信噪比高于-2 dB時(shí),該文算法的長(zhǎng)短偽碼估計(jì)平均誤碼率低于0.1%。
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關(guān)鍵詞:
- 偽碼 /
- 長(zhǎng)短碼直擴(kuò)碼分多址 /
- 矩陣填充 /
- 盲源分離 /
- 延遲三階相關(guān)函數(shù)
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methods of PN codes blind estimation for the Direct Sequence Code Division Multiple Access (DS-CDMA) signal are no longer applicable.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. -
曾興雯. 擴(kuò)展頻譜通信及其多址技術(shù)[M]. 西安: 西安電子科技大學(xué)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. 付衛(wèi)紅,楊小牛,劉乃安. 基于盲源分離的CDMA多用戶檢測(cè)與偽碼估計(jì)[J]. 電子學(xué)報(bào), 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. 張?zhí)祢U, 周圣, 高麗, 等. 基于模糊酉矩陣TD-SCDMA突發(fā)信號(hào)組合碼的盲估計(jì)[J]. 電子與信息學(xué)報(bào), 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. 陸鳳波, 黃知濤, 姜文利. 基于Fast-ICA的CDMA信號(hào)擴(kuò)頻序列盲估計(jì)及性能分析[J]. 通信學(xué)報(bào), 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. 任嘯天, 徐暉, 黃知濤, 等. 基于Fast-ICA的CDMA信號(hào)擴(kuò)頻序列優(yōu)化盲估計(jì)[J]. 電子學(xué)報(bào), 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. 張立民, 鐘兆根, 武恒州. 基于貝葉斯模型的長(zhǎng)碼DS-CDMA信號(hào)擴(kuò)頻碼與信息序列聯(lián)合估計(jì)[J]. 航空學(xué)報(bào), 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. 張旻, 呂全通, 朱宇軒. 基于線性分組碼的自同步擾碼盲識(shí)別[J]. 應(yīng)用科學(xué)學(xué)報(bào), 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. 趙知?jiǎng)? 顧驍煒, 沈雷. 非周期長(zhǎng)碼直擴(kuò)信號(hào)的長(zhǎng)擾碼識(shí)別[J]. 電子與信息學(xué)報(bào), 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. 趙知?jiǎng)? 顧驍煒, 沈雷, 等. 非周期長(zhǎng)碼直擴(kuò)信號(hào)的盲解擴(kuò)[J]. 信號(hào)處理, 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. 趙知?jiǎng)? 顧驍煒, 沈雷, 等. 非周期長(zhǎng)碼直擴(kuò)信號(hào)的偽隨機(jī)碼盲估計(jì)[J]. 通信學(xué)報(bào), 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. 彭義剛, 索津莉, 戴瓊海, 等. 從壓縮傳感到低秩矩陣恢復(fù): 理論與應(yīng)用[J]. 自動(dòng)化學(xué)報(bào), 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. 陳峰峰. 奇異值閾值算法在Netflix問題中的應(yīng)用研究[D]. [博士論文], 清華大學(xué), 2011. CHEN Fengfeng. A study of the application of SVT algorithm in Netflix problem[D]. [Ph.D. dissertation], Tsinghua University, 2011. 趙玉娟, 鄭寶玉, 陳守寧. 矩陣填充及其在信號(hào)處理中的應(yīng)用[J]. 信號(hào)處理, 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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