调频脉冲串信号的宽带分辨力分析

现有的分辨力和调频脉冲串（pulse trains of frequency modulated, PTFM）信号参数间的定量关系是在窄带条件下基于窄带模糊函数给出的。宽带条件下，应采用宽带模糊函数(wideband ambiguity function, WAF)分析调频脉冲串信号的分辨力，而基于宽带模糊函数的分辨力方程难以直接求解，为此提出一种基于宽带模糊函数的分辨力数值分析方法。该方法将分辨力表示成各单参数函数的连乘形式，综合运用方程求根和曲线拟合方法，求出单参数函数表达式，进而综合出分辨力的表达式。分析结果表明，该方法可明确给出宽带条件下分辨力和调频脉冲串信号各参数间的定量关系。该定量关系可指导调频脉冲串信号参数设计，提出的基于宽带模糊函数的分辨力数值分析方法对于其他形式宽带信号的分辨力分析具有参考价值。

Wideband resolution analysis of PTFM signal

The existing numerical relations of resolution and pulse trains of frequency modulated (PTFM) signal’s parameters are presented by narrowband ambiguity function in narrowband condition. In wideband condition, the resolution of PTFM should be analyzed by the wideband ambiguity function (WAF), but it is complicated to directly solve the resolution equation based on WAF. A numerical resolution analyzing method based on WAF is proposed. Resolution is expressed as the successive form of multiplication of each single parameter’s function, by combined applying of equation extracting and curve fitting methods, each single parameter’s function is educed, then the expression of resolution can be synthesized. Analyzing results show that the proposed methods can clearly uncover the numerical relations of resolution and signal’s parameters in wideband condition. These numerical relations have instructible meaning for PTFM’s parameters designing, the proposed numerical resolution analyzing method has a special reference value to other wideband signal forms.