利用拟合优度检验的NPLSC-DSSS信号伪码盲估计
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摘要
针对非周期短码扩频长码加扰直扩(NPLSC-DSSS)信号的伪码估计问题,该文首先给出了m序列三阶相关函数(TCF)共同峰理论和NPLSC-DSSS信号TCF估计量的概率函数。其次,利用TCF峰的共轭系特性构建了TCF峰值序列,提出了TCF共同峰检测的二元假设模型和利用拟合优度检验的TCF共同峰精检测算法。同时,为提高伪码估计性能,该文利用正反向TCF三阶相关峰性质和共轭系TCF峰值点累加和递增性质排除大量伪峰。最后通过矩阵斜消法实现长短伪码的盲估计。仿真结果表明,该文方法在低信噪比条件下能够有效估计NPLSC-DSSS信号的伪随机码。
For blind estimation of Pseudo-random Noise(PN) codes in Non-Periodic Long and Short Codes Direct Sequence Spread Spectrum(NPLSC-DSSS) signals, the Triple Correlation Function(TCF) common peak theory of m-sequence and probability function of NPLSC-DSSS signals' TCF estimate are given firstly. Then sequences of TCF peaks are built with their conjugate sets' features, binary hypothesis test model and accurate detection algorithm of TCF common peaks using goodness of fit test are proposed. Meanwhile, many false peaks are eliminated to improve the estimation performance using the property of forward and backward TCF peaks and cumulative-sum's increasing trend of TCF peaks in conjugate sets. Lastly, the primitive polynomials of long and short pseudo-random codes can be estimated with the matrix's oblique elementary method. Simulations show that the proposed method can effectively estimate the PN codes of NPLSC-DSSS signal at low Signal-to-Noise Ratio(SNR).
For blind estimation of Pseudo-random Noise(PN) codes in Non-Periodic Long and Short Codes Direct Sequence Spread Spectrum(NPLSC-DSSS) signals, the Triple Correlation Function(TCF) common peak theory of m-sequence and probability function of NPLSC-DSSS signals' TCF estimate are given firstly. Then sequences of TCF peaks are built with their conjugate sets' features, binary hypothesis test model and accurate detection algorithm of TCF common peaks using goodness of fit test are proposed. Meanwhile, many false peaks are eliminated to improve the estimation performance using the property of forward and backward TCF peaks and cumulative-sum's increasing trend of TCF peaks in conjugate sets. Lastly, the primitive polynomials of long and short pseudo-random codes can be estimated with the matrix's oblique elementary method. Simulations show that the proposed method can effectively estimate the PN codes of NPLSC-DSSS signal at low Signal-to-Noise Ratio(SNR).
引文
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[13]LUO Jinjun,WANG Shilian,ZHANG Eryang,et al.Noncooperative signal detection in alpha stable noise via Kolmogorov-Smirnov test[C].International Congress on Image and Signal Processing(CISP),Shenyang,2015:1464-1468.
[14]WANG Fanggang and WANG Xiaodong.Fast and robust modulation classification via Kolmogorov-Smirnov test[J].IEEE Transactions on Communications,2010,58(8):2324-2332.doi:10.1109/TCOMM.2010.08.090481.
[15]ASHWIN Lall.Data streaming algorithms for the Kolmogorov-Smirnov test[C].IEEE International Conference on Big Data,Santa Clara,CA,USA,2015:95-104.
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[17]廖辉荣,李国林,李涛.基于三阶相关的伪码调相脉冲信号周期预估计[J].航天电子对抗,2011,27(3):39-42.doi:10.3969/j.issn.1673-2421.2011.03.013.LIAO Huirong,LI Guoling,and LI Tao.Period estimation of phase-modulated pulse signal with PN code based on third-order correlation[J].Aerospace Electronic Warfare,2011,27(3):39-42.doi:10.3969/j.issn.1673-2421.2011.03.013.
[2]ZHANG Tianqi and MU Aiping.A modified eigen-structure analyzer to lower SNR DS-SS signals under narrow band interferences[J].Digital Signal Processing,2008,18(4):526-533.doi:10.1016/j.dsp.2007.07.002.
[3]QIU P Y,HUANG Z T,JIANG W L,et al.Blind classification of the short-code and the long-code direct sequence spread spectrum signals[J].IET Signal Processing,2010,4(1):78-88.doi:10.1049/iet-spr.2009.0033.
[4]王满喜,李宏,马刈非,等.低信噪比下非周期性直扩信号的盲估计[J].电子科技大学学报,2009,38(2):177-181.doi:10.3969/j.issn.1001-0548.2009.02.05.Wh ANG Manxi,LI Hong,MA Yifei,et al.Blind estimation of lower SNR aperiodic DS signals[J].Journal of University of Electronic Science and Technology of China,2009,38(2):177-181.doi:10.3969/j.issn.1001-0548.2009.02.05.
[5]沈斌,王建新.基于奇异值分解的直扩信号伪码序列及信息序列盲估计方法[J].电子与信息学报,2014,36(9):2098-2103.doi:10.3724/SP.J.1146.2013.01692.SHEN Bin and WANG Jianxin.Blind estimation of the PN sequence and information sequence of a DSSS signal based on SVD[J].Journal of Electronics&Information Technology,2014,36(9):2098-2103.doi:10.3724/SP.J.1146.2013.01692.
[6]WARNER E S,MULGREW B,and GRANT P M.Triple correlation analysis of m-sequences[J].Electronics Letters,1993,29(20):1755-1756.doi:10.1049/el:19931169.
[7]沈斌,王建新.窄带干扰条件下含有未知载频的直扩信号的伪码序列估计[J].电子与信息学报,2015,37(7):1556-1561.doi:10.11999/JEIT141322.SHEN Bin and WANG Jianxin.Estimation of PN sequence in DSSS signals with unknown carrier frequency under narrow band interferences[J].Journal of Electronics&Information Technology,2015,37(7):1556-1561.doi:10.11999/JEIT141322.
[8]赵知劲,李淼,詹毅.LSC-DSSS信号长短伪码盲估计[J].信号处理,2016,32(3):268-275.doi:10.16798/j.issn.1003-0530.2016.03.003.ZHAO Zhijin,LI Miao,and ZHAN Yi.Blind estimation of long and short PN code in LSC-DSSS signals[J].Journal of Signal Processing,2016,32(3):268-275.doi:10.16798/j.issn.1003-0530.2016.03.003.
[9]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.
[10]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):27-34.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 directs e q u e n c e s p r e a d-s p e c t r u m s i g n a l s[J].J o u r n a l o n Communications,2015,36(5):27-34.doi:10.11959/j.issn.1000-436x.2015121.
[11]FUSCO T,IZZO L,NAPOLITANO A,et al.On the secondorder cyclostationarity properties of long-code DS-SS signals[J].IEEE Transactions on Communications,2006,54(10):1741-1746.doi:10.1109/TCOMM.2006.881353.
[12]卢光跃,叶迎晖,孙宇,等.克服噪声不确定度的拟合优度检验频谱感知算法[J].电讯技术,2016,56(1):26-31.doi:10.3969/j.issn.1001-893x.2016.01.005.LU Guangyue,YE Yinghui,SUN Yu,et al.A novel antinoise-uncertainty spectrum sensing method using goodness of fit test[J].Telecommunication Engineering,2016,56(1):26-31.doi:10.3969/j.issn.1001-893x.2016.01.005.
[13]LUO Jinjun,WANG Shilian,ZHANG Eryang,et al.Noncooperative signal detection in alpha stable noise via Kolmogorov-Smirnov test[C].International Congress on Image and Signal Processing(CISP),Shenyang,2015:1464-1468.
[14]WANG Fanggang and WANG Xiaodong.Fast and robust modulation classification via Kolmogorov-Smirnov test[J].IEEE Transactions on Communications,2010,58(8):2324-2332.doi:10.1109/TCOMM.2010.08.090481.
[15]ASHWIN Lall.Data streaming algorithms for the Kolmogorov-Smirnov test[C].IEEE International Conference on Big Data,Santa Clara,CA,USA,2015:95-104.
[16]Conover W J.实用非参数统计[M].北京:人民邮电出版社,2006:318-320.Conover W J.Practical Nonparametric Statistics[M].Beijing:Posts&Telecom Press,2006:318-320.
[17]廖辉荣,李国林,李涛.基于三阶相关的伪码调相脉冲信号周期预估计[J].航天电子对抗,2011,27(3):39-42.doi:10.3969/j.issn.1673-2421.2011.03.013.LIAO Huirong,LI Guoling,and LI Tao.Period estimation of phase-modulated pulse signal with PN code based on third-order correlation[J].Aerospace Electronic Warfare,2011,27(3):39-42.doi:10.3969/j.issn.1673-2421.2011.03.013.