摘要
本文介绍了一种崭新的信号分析工具──分数阶Fourier变换(FRFT)。本文在简单介绍了FRFT的几种不同的引入途径和其基本性质之后,在时-频平面对FRFT进行了研究,用经典的Fourier变换的观点对FRFT进行了解释,并推导了FRFT与Radon-Wigner变换的关系。最后,根据FFRT的特点,提出了它在时频信号分析中的两种新的应用途径。
A new tool for signal analysis-fractional Fourier transform(FRFT),is introduced in this paper. After the brief introduction of several ways of inducing and some basic properties of FRFT, it is studied in the time-frequency plane and interpreted in view of the classic Fourier transform. The relationship between FRFT and Radon-Wigner transform is also derived. Finally, based on the properties of FRFT,two new possible applications in time-frequency signal analysis are proposed.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1996年第12期60-65,共6页
Acta Electronica Sinica
基金
电科院基金
关键词
分数阶
傅里叶变换
时-频信号分析
Fourier transform, Fractional Fourier Transform, Time-frequency signal analysis