电讯技术Issue(7)：773-778,6.DOI:10.3969/j.issn.1001-893x.2015.07.012
短时分数阶傅里叶变换对调频信号的时频分辨能力
Time-Frequency Resolving Ability of Short-time Fractional Fourier Transform to FM Signals
摘要
Abstract
Detection and parameter estimation of frequency modulation( FM) signal is always one of the re-search focuses in the field of signal processing. In order to find out the advantage of short-time fractional Fourier transform( STFRFT) in processing the FM signals,this paper analyzes the relationship between the time-frequency resolving ability and the parameter of the measured signals through STFRFT's definition, and compares with short-time Fourier transform( STFT) . As a conclusion,the time-frequency resolving a-bility of STFT is related to the signal's frequency fluctuation rate,however,the time-frequency resolving a-bility of STFRFT has nearly no relationship with the signal's frequency fluctuation rate. The simulation verifies that for the signals with low frequency fluctuation rate,STFT and STFRFT almost have the same time-frequency resolution,but for the signals with high frequency fluctuation rate,STFRFT has the better time-frequency resolution.关键词
调频信号检测/参数估计/短时傅里叶变换/短时分数阶傅里叶变换/时频分析Key words
frequency modulation signal detection/parameter estimation/short-time Fourier transform/short-time fractional Fourier transform/time-frequency analysis分类
信息技术与安全科学引用本文复制引用
栾俊宝,邓兵..短时分数阶傅里叶变换对调频信号的时频分辨能力[J].电讯技术,2015,(7):773-778,6.基金项目
国家自然科学基金资助项目(60902054,61032001,61570122) （60902054,61032001,61570122）
中国博士后科学基金项目(201003758,20090460114)Foundation Item:The National Natural Science Foundation of China(No.60902054,61032001,61570122) （201003758,20090460114）
China Postdoctoral Science Foun-dation (No.201003758,20090460114) （No.201003758,20090460114）
