Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms

Not Accessible

Your library or personal account may give you access

Abstract

A concise introduction to the concept of fractional Fourier transforms is followed by a discussion of their relation to chirp and wavelet transforms. The notion of fractional Fourier domains is developed in conjunction with the Wigner distribution of a signal. Convolution, filtering, and multiplexing of signals in fractional domains are discussed, revealing that under certain conditions one can improve on the special cases of these operations in the conventional space and frequency domains. Because of the ease of performing the fractional Fourier transform optically, these operations are relevant for optical information processing.

© 1994 Optical Society of America

Full Article  |  PDF Article
More Like This
Chirp filtering in the fractional Fourier domain

Rainer G. Dorsch, Adolf W. Lohmann, Yigal Bitran, David Mendlovic, and Haldun M. Ozaktas
Appl. Opt. 33(32) 7599-7602 (1994)

Relationships between the Radon–Wigner and fractional Fourier transforms

Adolf W. Lohmann and Bernard H. Soffer
J. Opt. Soc. Am. A 11(6) 1798-1801 (1994)

Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform

David Mendlovic, Haldun M. Ozaktas, and Adolf W. Lohmann
Appl. Opt. 33(26) 6188-6193 (1994)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (10)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (89)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved