基于分数阶Fourier变换的LFM信号参数估计精度分析  

Parameters Resolution of LFM signal Based on Fractional Fourier Transform

作　　者：刘建成[1] 王雪松[1] 刘忠[1] 肖顺平[1] 王国玉[1] 

机构地区：[1]国防科技大学电子科学与工程学院,湖南长沙410073

出　　处：《信号处理》2008年第2期197-200,共4页Journal of Signal Processing

基　　金：全国优秀博士学位论文专项资金资助项目(No.08100101)

摘　　要：本文采用一阶扰动分析的方法分析了基于分数阶Fourier变换的LFM信号参数估计精度,推导得到了频率估计误差均方值表达式和调频率估计误差均方值表达式,前者反比于信号时长,后者反比于信号时长的平方。结果表明,基于分数阶Fourier变换的LFM信号参数估计方法在估计精度方面达到了最优。Estimation accuracy of LFM signal parameters based on fractional Fourier transform are evaluated by a perturbation analysis,and expressions for root mean square of estimation error of radian frequency and radian frequency rate are derived, the former is inverse proportion to observation time and the latter is inverse proportion to square of observation time. Results show that the method is optimal in the sense of estimation accuracy.

关 键 词：LFM信号 分数阶FOURIER变换 参数估计 估计精度 

分 类 号：TN957.51[电子电信—信号与信息处理] V243.2[电子电信—信息与通信工程]