基于GP分布拟合检验的LFM/BPSK处理结果可信性评估

doi:10.3969/j.issn.0372-2112.2019.01.009

电子学报 ›› 2019, Vol. 47 ›› Issue (1): 66-72.DOI: 10.3969/j.issn.0372-2112.2019.01.009

基于GP分布拟合检验的LFM/BPSK处理结果可信性评估

胡国兵¹, 吴珊珊², 陈正宇¹, 赵嫔姣¹, 宋军³, 李昌利⁴

1. 金陵科技学院电子信息工程学院, 江苏南京 211169;
2. 南京信息职业技术学院电子信息学院, 江苏南京 210023;
3. 南京林业大学信息科学技术学院, 江苏南京 210037;
4. 河海大学计算机与信息学院, 江苏南京 210098

收稿日期:2017-09-09 修回日期:2018-01-22 出版日期:2019-01-25
- 作者简介:
- 胡国兵 男,1978年4月生,江苏高淳人.2011年于南京航空航天大学获工学博士学位,现金陵科技学院教授、主要从事智能信号处理等方面的研究.E-mail:hugb@njcit.cn;吴珊珊 女,1982年1月生,江苏南通人.2008年于南京理工大学获工学硕士学位.现南京信息职业技术学院副教授,主要从事通信与信息系统、认知无线电的研究.E-mail:wuss@njcit.cn;陈正宇 男,1978年7月生,江苏淮安人.2014年于南京邮电大学获得工学博士学位,现金陵科技学院副教授,电子信息工程学院副院长,主要从事认知无线电、物联网、无线传感器网络等方面的研究.E-mail:zych@jit.edu.cn
- 基金资助:
- 江苏省基础研究计划 (自然科学基金） (No.BK20161104）; 江苏省"六大人才高峰"科研项目 (No.DZXX022）; 金陵科技学院高层次人才引进项目 (No.jit-b-201630）; 南京市重点学科建设项目 (电子科学与技术）

Credibility Evaluation for Processing Results of LFM/BPSK Signals Based on Goodness-of-Fit Test of Generalized Pareto Distribution

HU Guo-bing¹, WU Shan-shan², CHEN Zheng-yu¹, ZHAO Pin-jiao¹, SONG Jun³, LI Chang-li⁴

1. College of Electronic and Information Engineering, Jinling Institute of Technology, Nanjing, Jiangsu 211169, China;
2. School of Electronic Information, Nanjing College of Information Technology, Nanjing, Jiangsu 210023, China;
3. College of Information Science and Technology, Nanjing Forestry University, Nanjing, Jiangsu 210037, China;
4. College of Computer and Information Science, Ho Hai University, Nanjing, Jiangsu 210098, China

Received:2017-09-09 Revised:2018-01-22 Online:2019-01-25 Published:2019-01-25

摘要/Abstract

摘要： 研究了线性调频/二相编码（LFM/BPSK）混合调制信号处理结果的可信性评估问题，提出了一种基于相关谱超阈值分布拟合优度检验的评估算法.根据某一次识别处理结果及其对应的调制信号模型，建立参考信号，并计算其与原始观测信号的相关谱，通过对相关谱极大值概率分布特性的分析，将LFM/BPSK信号处理结果的可信性评估转化为对相关谱超阈值序列概率分布的拟合优度检验问题.文中利用极大值分布吸引场理论，证明了零假设下相关谱超阈值的超出量近似服从广义Pareto分布.计算机仿真结果验证了本算法的有效性.

关键词: 可信性评估, LFM/BPSK调制, 广义极值分布, 广义Pareto分布

Abstract: A credibility test method,based on the goodness-of-fit test of the exceedance distribution of the cross-correlation spectrum,is proposed to evaluate blind processing results of LFM/BPSK hybrid modulation signals.A reference signal is constructed depending on the identified modulation format and the corresponding estimated parameters,and the spectrum of the cross-correlation between the observed signal and the constructed reference signal is calculated.By using the property of the maximum distribution of the cross-correlation spectrum,the credibility test is transformed to the goodness-of-fit test of the exceedance distribution to the cross-correlation spectrum.It is proved that the exceedance distribution under null hypothesis is approximated to a generalized Pareto distribution according to the maximum distribution attraction theory.The effectiveness of the algorithm is demonstrated in extensive simulations.

Key words: credibility evaluation, LFM/BPSK hybrid modulation, generalized extreme distribution, generalized Pareto distribution

中图分类号:

TN911.6

胡国兵, 吴珊珊, 陈正宇, 赵嫔姣, 宋军, 李昌利. 基于GP分布拟合检验的LFM/BPSK处理结果可信性评估[J]. 电子学报, 2019, 47(1): 66-72.

HU Guo-bing, WU Shan-shan, CHEN Zheng-yu, ZHAO Pin-jiao, SONG Jun, LI Chang-li. Credibility Evaluation for Processing Results of LFM/BPSK Signals Based on Goodness-of-Fit Test of Generalized Pareto Distribution[J]. Acta Electronica Sinica, 2019, 47(1): 66-72.

参考文献

[1] 胡国兵,刘渝.BPSK信号盲处理结果的可靠性检验算法[J].数据采集与处理,2011,26(6):637-642. Hu Guobing,Liu Yu.Reliability test for blind processing results of BPSK signals[J].Journal of Data Acquisition & Processing,2011,26(6):637-642.(in Chinese)
[2] 胡国兵,徐立中.基于K-S检验的BPSK信号盲处理结果可信性评估[J].电子学报,2014,42(10):1882-1886. HU Guo-bing,XU Li-zhong.Confidence evaluation for blind processing results of BPSK signals via Kolmogorov-Smirnov hypothesis test[J].Acta Electronica Sinica,2014,42(10):1882-1886.(in Chinese)
[3] 胡国兵,徐立中,吴珊珊,等.基于循环平稳分析的LFM信号盲处理结果可靠性评估[J].电子学报,2016,44(4):788-794. HU Guo-bing,XU Li-zhong,WU Shan-shan,et al.Reliability evaluation for blind processing results of LFM signal based on cyclostationarity[J].Acta Electronica Sinica,2016,44(4):788-794.(in Chinese)
[4] David H A.Order Statistics[M].Berlin Heidelberg:Springer,2011.10897-10901.
[5] 宋军,刘渝,薛妍妍.LFM-BPSK复合调制信号识别与参数估计[J].南京航空航天大学学报,2013,45(2):217-222. Song Jun,Liu Yu,Xue Yanyan.Parameter estimation and recognition of hybrid modulated signal combining BPSK with LFM[J].Journal of Nanjing University of Aeronautics & Astronautics,2013,45(2):217-222.(in Chinese)
[6] 王佩,祝俊,唐斌.伪码-线性调频复合信号参数估计理论性能分析[J].电子与信息学报,2016,38(2):472-477. WANG Pei,ZHU Jun,TANG Bin.Theoretical performance analysis for parameter estimation of hybrid modulated signal combining pseudo-random binary-phase code and linear frequency modulation[J].Journal of Electronics & Information Technology,2016,38(2):472-477.(in Chinese)
[7] Whalen A D.Detection of Signals in Noise[M].New York:Academic Press,1995.
[8] Kowatsch M,Lafferl J T.A spread-spectrum concept combining chirp modulation and pseudonoise coding[J].IEEE Transactions on Communications,1983,31(10):1133-1142.
[9] Kalyani S,Karthik R M.The asymptotic distribution of Maxima of independent and identically distributed sums of correlated or non-identical Gamma random variables and its applications[J].IEEE Transactions on Communications,2012,60(9):2747-2758.
[10] 史道济.实用极值统计方法[M].天津:天津科学技术出版社,2006. Shi Daoji.Practical Method of Extreme Value Statistics[M].Tianjin:Tianjin Science and Technology Press,2006.(in Chinese)
[11] F Massey.The Kolmogorov-Smirnov test for goodnees of fit[J].J Amer Stat Asso,1951,46(256):68-78.
[12] Wang F,Wang X.Fast and robust modulation classification via Kolmogorov-Smirnov test[J].IEEE Transactions on Communications,2010,58(8):2324-2332.
[13] Davison A C,Smith R L.Models for exceedances over high thresholds[J].Journal of the Royal Statistical Society,1990,52(3):393-442.

基于GP分布拟合检验的LFM/BPSK处理结果可信性评估

Credibility Evaluation for Processing Results of LFM/BPSK Signals Based on Goodness-of-Fit Test of Generalized Pareto Distribution

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