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

Author

Pei, Soo-Chang ; Yeh, Min-Hung ; Luo, Tzyy-Liang

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

47

Issue

10

fYear

1999

fDate

10/1/1999 12:00:00 AM

Firstpage

2883

Lastpage

2888

Abstract

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 article 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

Keywords

Fourier series; discrete Fourier transforms; signal processing; DFT; DTFT; Fourier analysis; Fourier series; Fourier transform; discrete Fourier transform; discrete-time Fourier transform; discrete-time fractional Fourier transform; dual extension; finite signals; fractional Fourier analysis methods; fractional Fourier series expansion; signal frequency components; Discrete Fourier transforms; Fourier series; Fourier transforms; Frequency; Information science; Kernel; Signal analysis; Signal processing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.790671

Filename

790671