Sampling and series expansion theorems for fractional Fourier and other transforms

Authors:
Çagatay Candan;Haldun M. Ozaktas
Affiliations:
Department of Electrical Engineering, Middle East Technical University, TR-06531 Ankara, Turkey and School of ECE, Georgia Institute of Technology, Atlanta;Department of Electrical Engineering, Bilkent University, TR-06533 Bilkent, Ankam, Turkey
Venue:
Signal Processing - Special issue: Fractional signal processing and applications
Year:
2003

Citing 6
Cited 6

Fractional Fourier domains

Signal Processing
The fractional Fourier domain decomposition

Signal Processing
Fractional Fourier series expansion for finite signals and dualextension to discrete-time fractional Fourier transform

IEEE Transactions on Signal Processing
The discrete fractional Fourier transform

IEEE Transactions on Signal Processing
The discrete fractional cosine and sine transforms

IEEE Transactions on Signal Processing
Scale periodicity and its sampling theorem

IEEE Transactions on Signal Processing

Sampling of linear canonical transformed signals

Signal Processing
Time delay estimation using fractional Fourier transform

Signal Processing
The Poisson sum formulae associated with the fractional Fourier transform

Signal Processing
Fast communication: Generalized entropic uncertainty principle on fractional Fourier transform

Signal Processing
Sampling random signals in a fractional Fourier domain

Signal Processing
Fractional Fourier transform as a signal processing tool: An overview of recent developments

Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present much briefer and more direct and transparent derivations of some sampling and series expansion relations for fractional Fourier and other transforms. In addition to the fractional Fourier transform, the method can also be applied to the Fresnel, Hartley, and scale transform and other relatives of the Fourier transform.