Title

Hilbert transform associated with the fractional Fourier transform

Authors

Authors

A. I. Zayed

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

IEEE Signal Process. Lett.

Keywords

analytic signals; fractional Fourier transform; generalized Hilbert; transform; WIGNER; Engineering, Electrical & Electronic

Abstract

The analytic part of a signal f (t) is obtained by suppressing the negative frequency content of f, or in other words, by suppressing the negative portion of the Fourier transform, (f) over cap of f. In the time domain, the construction of the analytic part is based on the Hilbert transform (f) over cap of f(t), We generalize the definition of the Hilbert transform in order to obtain the analytic part of a signal that is associated with its fractional Fourier transform, i,e,, that part of the signal f (t) that is obtained by suppressing the negative frequency content of the fractional Fourier transform of f (t), We also show that the generalized Hilbert transform has similar properties to those of the ordinary Hilbert transform, but it lacks the semigroup property of the fractional Fourier transform.

Journal Title

Ieee Signal Processing Letters

Volume

5

Issue/Number

8

Publication Date

1-1-1998

Document Type

Article

Language

English

First Page

206

Last Page

208

WOS Identifier

WOS:000075140300005

ISSN

1070-9908

Share

COinS