GNSS系统中一种低复杂度的载噪比估计算法
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摘要
为了找到一种复杂度低和适应性强的载噪比估计算法,本文在分析了宽窄带功率比值法和方差求和法两种典型算法的基础上,提出了一种载噪比估计算法。对I支路二阶矩分布和I、Q四阶矩分布进行了的推导,得到了载噪比估计的精确表达式;论证了两种不同推导方法的一致性;从估计偏差、算法实现复杂度、输出时延、适应性四个方面对本文的方法进行了理论仿真和实测数据验证。结果表明:本文提出的算法估计误差小于1 d B,同时解决了宽窄带功率比值法不能直接应用于BD系统以及方差求和法在实际应用时实现较复杂的问题。本文提出的算法在保证一定性能的前提下,极大地降低了算法实现复杂度和输出时延,提升了适应性,可广泛应用于北斗等GNSS系统中。
To provide a carrier-to-noise ratio estimation algorithm with low complexity and strong adaptability,this paper proposes a new algorithm after an analyses of the commonly used narrowband-wideband power ratio and variance summing methods. The distribution of the I-branch secondary moment and the I and Q fourth moment were used to deduce the accurate expression of the carrier-to-noise ratio estimation,and the consistency of the two different deduction methods was demonstrated. For the proposed algorithm,theoretical simulation and actual data demonstrations were carried out from the following four aspects: estimation bias,complexity of algorithm implementation,output delay time,and adaptability. The results show that,the estimation error of the proposed algorithm is less than 1 d B. In addition,this algorithm is a suitable alternative,since narrowband-wideband power ratio method is difficult to be directly applied to BD system and the variance summing method is highly complex. On the whole,the proposed method greatly reduces complexity,output delay,and improves adaptability. Therefore,it can be successfully used in global navigation satellite systems(GNSS) such as Beidou.
To provide a carrier-to-noise ratio estimation algorithm with low complexity and strong adaptability,this paper proposes a new algorithm after an analyses of the commonly used narrowband-wideband power ratio and variance summing methods. The distribution of the I-branch secondary moment and the I and Q fourth moment were used to deduce the accurate expression of the carrier-to-noise ratio estimation,and the consistency of the two different deduction methods was demonstrated. For the proposed algorithm,theoretical simulation and actual data demonstrations were carried out from the following four aspects: estimation bias,complexity of algorithm implementation,output delay time,and adaptability. The results show that,the estimation error of the proposed algorithm is less than 1 d B. In addition,this algorithm is a suitable alternative,since narrowband-wideband power ratio method is difficult to be directly applied to BD system and the variance summing method is highly complex. On the whole,the proposed method greatly reduces complexity,output delay,and improves adaptability. Therefore,it can be successfully used in global navigation satellite systems(GNSS) such as Beidou.
引文
[1]何文涛,徐建华,叶甜春.GPS弱信号的自适应载噪比估计算法[J].电子技术应用,2010,36(6):111-114.HE Wentao,XU Jianhua,YE Tianchun.Adaptive C/N estimation method of GPS weak signal[J].Application of electronic technique,2010,36(6):111-114.
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[10]PSIAKI M L,AKOS D M,THOR J.A comparison of“Direct RF Sampling”and“Downconvert&sampling”GNSS receiver architectures[C]//Proceedings of the 16th International Technical Meeting of the Satellite Division of the Institute of Navigation.Portland,OR,2003:1942-1952.
[11]蒋君伟,段晓辉,林阳.GPS信号载噪比估计算法的研究[J].北京大学学报(自然科学版),2009,45(3):409-414.JIANG Junwei,DUAN Xiaohui,LIN Yang.The research of estimation method for GPS C/N0[J].Acta scientiarum naturalium universitatis pekinensis,2009,45(3):409-414.
[12]巴晓辉,刘海洋,郑睿,等.一种有效的GNSS接收机载噪比估计方法[J].武汉大学学报(信息科学版),2011,36(4):457-460.BA Xiaohui,LIU Haiyang,ZHENG Rui,et al.An effective carrier-to-noise ratio estimation method for GNSS receiver[J].Geomatics and information science of Wuhan university,2011,36(4):457-460.
[13]FALLETTI E,PINI M,PRESTI L L.Low complexity carrier-to-noise ratio estimators for GNSS digital receivers[J].IEEE transactions on aerospace and electronic systems,2011,47(1):420-437.
[14]谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2017:306-364.XIE Gang.Principles of GPS and receiver design[M].Beijing:Publishing House of Electronics Industry,2017:306-364.
[15]盛骤,谢式千,潘承毅.概率论与数理统计[M].4版.北京:高等教育出版社,2010:46-103.SHENG Zhou,XIE Shiqian,PAN Chengyi.Probability theory and mathematical statistics[M].4th ed.Beijing:Higher Education Press,2010:46-103.
[2]袁建国,欧松林.GPS接收机并行捕获算法的研究[J].重庆邮电大学学报(自然科学版),2016,25(4):470-474.YUAN Jianguo,OU Songlin.Study on parallel acquisition algorithm for GPS receiver[J].Journal of Chongqing university of posts and telecommunications(natural science edition),2016,25(4):470-474.
[3]SHARAWI M S,AKOS D M,ALOI D N.GPS C/N0estimation in the presence of interference and limited quantization levels[J].IEEE transactions on aerospace and electronic systems,2007,43(1):227-238.
[4]BRAASCH M S,VAN DIERENDONCK A J.GPS receiver architectures and measurements[J].Proceedings of the IEEE,1999,87(1):48-64.
[5]BORIO D,GIOIA C,BALDINI G.Asynchronous pseudolite navigation using C/N0measurements[J].Journal of navigation,2016,69(3):639-658.
[6]傅金琳,赵子阳,李醒飞.一种改进的功率比值法载噪比估算算法[J].中国惯性技术学报,2015,23(5):642-647.FU Jinlin,ZHAO Ziyang,LI Xingfei.Improved power ratio method of carrier-to-noise ratio estimation algorithm[J].Journal of Chinese inertial technology,2015,23(5):642-647.
[7]GROVES P D.GPS signal to noise measurement in weak signal and high interference environments[C]//Proceedings of the 18th International Technical Meeting of the Satellite Division of the Institute of Navigation.Long Beach,CA,2005:644-645.
[8]BHUIYAN M Z H,SDERHOLM S,THOMBRE S,et al.Performance evaluation of carrier-to-noise density ratio estimation techniques for Bei Dou Bl signal[C]//IEEE Ubiquitous Positioning Indoor Navigation and Location Based Service.Corpus Christ,TX,USA,2015:19-25.
[9]LI Li,CHEONG J W,WU Jinghui,et al.Improvement to multi-resolution collective detection in GNSS receivers[J].Journal of navigation,2014,67(2):277-293.
[10]PSIAKI M L,AKOS D M,THOR J.A comparison of“Direct RF Sampling”and“Downconvert&sampling”GNSS receiver architectures[C]//Proceedings of the 16th International Technical Meeting of the Satellite Division of the Institute of Navigation.Portland,OR,2003:1942-1952.
[11]蒋君伟,段晓辉,林阳.GPS信号载噪比估计算法的研究[J].北京大学学报(自然科学版),2009,45(3):409-414.JIANG Junwei,DUAN Xiaohui,LIN Yang.The research of estimation method for GPS C/N0[J].Acta scientiarum naturalium universitatis pekinensis,2009,45(3):409-414.
[12]巴晓辉,刘海洋,郑睿,等.一种有效的GNSS接收机载噪比估计方法[J].武汉大学学报(信息科学版),2011,36(4):457-460.BA Xiaohui,LIU Haiyang,ZHENG Rui,et al.An effective carrier-to-noise ratio estimation method for GNSS receiver[J].Geomatics and information science of Wuhan university,2011,36(4):457-460.
[13]FALLETTI E,PINI M,PRESTI L L.Low complexity carrier-to-noise ratio estimators for GNSS digital receivers[J].IEEE transactions on aerospace and electronic systems,2011,47(1):420-437.
[14]谢钢.GPS原理与接收机设计[M].北京:电子工业出版社,2017:306-364.XIE Gang.Principles of GPS and receiver design[M].Beijing:Publishing House of Electronics Industry,2017:306-364.
[15]盛骤,谢式千,潘承毅.概率论与数理统计[M].4版.北京:高等教育出版社,2010:46-103.SHENG Zhou,XIE Shiqian,PAN Chengyi.Probability theory and mathematical statistics[M].4th ed.Beijing:Higher Education Press,2010:46-103.