Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform

被引：109
|
作者：
Pei, SC [1 ]
Yeh, MH
Luo, TL
机构：
[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10764, Taiwan
[2] Tamsui Oxford Univ Coll, Dept Comp Informat Sci, Taipei, Taiwan
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1999年 / 47卷 / 10期
关键词：
discrete-time fractional Fourier transform; fractional Fourier series;
D O I：
10.1109/78.790671
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Conventional Fourier analysis has many schemes for different types of signals. They are Fourier transform (FT), Fourier series (FS), discrete-time Fourier transform (DTFT), and discrete Fourier transform (DFT), The goal of this correspondence is to develop two absent schemes of fractional Fourier analysis methods. The proposed methods are fractional Fourier series (FRFS) and discrete-time fractional Fourier transform (DTFRFT), and they are the generalizations of Fourier series (FS) and discrete-time Fourier transform (DTFT), respectively.
引用
收藏
页码：2883 / 2888
页数：6
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