对称三角线性调频连续波雷达信号多周期模糊函数分析

Multi-period Ambiguity Function Analysis of Symmetrical Triangle Linear Frequency Modulation Continuous Wave Signals

针对大时带宽积对称三角形线性调频连续波信号模糊函数须考虑多普勒效应对复包络函数的影响,该文利用信号复包络求解法,导出了大时带宽积对称三角线性调频连续波信号的单周期与多周期模糊函数,研究了它们的对称性、模糊度图及沿主轴切割性质等特性。通过分析模糊函数表达式,得到了单、多周期信号的理论多普勒分辨率与时延分辨率。结果表明:单周期和多周期信号的时延分辨率相同,而N周期信号的多普勒分辨率提高到单周期信号的1/N。

For the problem to take into account of Doppler effect on the complex envelope in large time-bandwidth product symmetrical triangle linear frequency modulation continuous wave （LFMCW） signal ambiguity function, this paper adopts a complex envelope solution to deduce single-period and multi-period ambiguity functions of the large time-bandwidth product symmetrical triangle LFMCW sig- nals. Their symmetry, ambiguity map and ambiguity function cut along their principal axis are stud- ied. By analyzing ambiguity function expressions, this paper resolves theoretic Doppler signal resolutions and delay resolutions of single-period and multi-period symmetrical triangle LFMCW signals. The results show that the single-period and multi-period LFMCW signals have a same delay resolution, and the multi-period LFMCW signal Doppler resolution is 1/N of single-period signals.