椭圆球面波函数信号时频分布特性研究  

Research of time-frequency distribution characteristics of prolate spherical wave function signal

作　　者：缪幸吉 王红星 刘传辉 陆发平 康家方 MIAO Xingji;WANG Hongxing;LIU Chuanhui;LU Faping;KANG Jiafang(Naval Aviation University,Yantai 264001,China;Department of Naval Equipment,Xi’an 710000,China)

机构地区：[1]海军航空大学,山东烟台264001 [2]海军装备部,陕西西安710000

出　　处：《现代电子技术》2020年第19期14-18,22,共6页Modern Electronics Technique

基　　金：国家青年科学基金项目(61701518);山东省“泰山学者”建设工程专项经费基金资助项目(ts20081130)。

摘　　要：针对椭圆球面波函数(PSWF)信号的频率时变特性,通过引入Wigner-Ville分布时频分析方法,在时频域上建立PSWF信号Wigner-Ville分布与其自身特性之间的关系,重点研究了PSWF信号时频分布特性与信号频域区间、对应阶数和时频能量分布特性的关系。理论分析和数值分析表明,PSWF信号时频分布特性具有良好的对称性、时频能量聚集性,且时频分布的特征参量与PSWF信号频域区间、对应阶数和时频能量分布特性密切相关。结论进一步深化了对PSWF信号时频分布特性的认知,为下一步在时频域上探索研究新型、高效PSWF调制信号检测方法提供了重要的参考依据。In view of the time-varying characteristics of the frequency of PSWF(prolate spherical wave function)signal,the Wigner-Ville distribution time-frequency analysis method is introduced to establish the relationship between the Wigner-Ville distribution of PSWF signal and its own characteristics in the time-frequency domain.The relationship between the time-frequency distribution characteristics of PSWF signal and signal frequency domain interval,and corresponding order and time-frequency energy distribution is emphatically studied.Theoretical analysis and numerical analysis results show that the time-frequency distribution characteristics of PSWF signal have good symmetry and time-frequency energy aggregation,and the characteristic parameters of time-frequency distribution are closely related to the frequency domain interval,corresponding order and time-frequency energy distribution character of PSWF signal.The conclusion further deepens the perception for the time-frequency distribution characteristics of PSWF signal,and provides an important reference for the next step to explore and study a new and efficient PSWF modulation signal detection method in the time-frequency domain.

关 键 词：椭圆球面波函数 时频分布 能量聚集 WIGNER-VILLE分布 理论分析 数值分析 

分 类 号：TN911.7-34[电子电信—通信与信息系统]