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分数阶Fourier变换对多分量Chirp信号中心频率的分辨能力
引用本文:刘锋,黄宇,陶然,王越.分数阶Fourier变换对多分量Chirp信号中心频率的分辨能力[J].兵工学报,2009,30(1):14-18.
作者姓名:刘锋  黄宇  陶然  王越
作者单位:1.烟台海军航空工程学院电子工程系,山东烟台264001;2.北京理工大学信息科学技术学院,北京100081
基金项目:国家杰出青年科学基金,国家部委预研项目 
摘    要:研究了当多个同调频率的Chirp信号相近时,分数阶Fourier变换(FRFT)对中心频率的分辨能力问题。从FRFT在数值计算中对中心频率的估计区间出发,推导出了对中心频率的分辨能力表达式,根据偏微分方程进一步分析了采样时间、采样频率和信号调频率对分辨能力的影响。计算机仿真结果表明,当采样频率为400 MHz,采样时间为2μs;信号调频率的大小不超过100MHz/μs时,FRFT对中心频率的最小分辨力与调频率约成凹形抛物线关系,并且大于2 MHz.

关 键 词:信息处理技术      分数盼Fourier变换      Chirp信号      信号检测      中心频率      分辨力  

Resolution Ability of Fractional Fourier Transform in Multi-component Chirp Signal Center Frequency
LIU Feng,HUANG Yu,TAO Ran,WANG Yue.Resolution Ability of Fractional Fourier Transform in Multi-component Chirp Signal Center Frequency[J].Acta Armamentarii,2009,30(1):14-18.
Authors:LIU Feng  HUANG Yu  TAO Ran  WANG Yue
Affiliation:1.Department of Electronic Engineering, Naval Aeronautical Engineering Institute, Yantai 264001, Shandong, China; 2.School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081,China
Abstract:The resolution ability of fractional Fourier transform(FRFT)in the center frequency was studied,when multi-component Chirp signal had only one Chirp-rate.From the estimation sector of the center frequency in the FRFT's numerical calculation,the center frequency's resolution ability expression was deduced.Based on partial differential equation,the influence of the sampling time,sampling frequency and Chirp-rate upon the resolution ability were analyzed further.The computer simulation results indicate that th...
Keywords:information processing  fractional Fourier transform  Chirp signal  signal detection  center frequency  resolution ability  
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