Optimal Filtering with Linear Canonical Transformations
Date
1997-02-01
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Optics Communications
Print ISSN
0030-4018
Electronic ISSN
Publisher
Elsevier BV * North-Holland
Volume
135
Issue
1-3
Pages
32 - 36
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
Optimal filtering with linear canonical transformations allows smaller mean-square errors in restoring signals degraded by linear time- or space-variant distortions and non-stationary noise. This reduction in error comes at no additional computational cost. This is made possible by the additional flexibility that comes with the three free parameters of linear canonical transformations, as opposed to the fractional Fourier transform which has only one free parameter, and the ordinary Fourier transform which has none. Application of the method to severely degraded images is shown to be significantly superior to filtering in fractional Fourier domains in certain cases.