Fractional Fourier Series expansion for finite signals and dual extension to discrete-time fractional Fourier transform
Resource
IEEE Transactions on Signal Processing 47 (10): 2883-2888
Journal
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Journal Volume
47
Journal Issue
10
Pages
2883-2888
Date Issued
1999-10
Author(s)
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.
Type
journal article