Extensions to common laplace and fourier transforms
Date
1997-11
Authors
Advisor
Instructor
Source Title
IEEE Signal Processing Letters
Print ISSN
1070-9908
Electronic ISSN
Publisher
Institute of Electrical and Electronics Engineers
Volume
4
Issue
11
Pages
310 - 312
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract
The extended versions of common Laplace and Fourier transforms are given. This is achieved by defining a new function fe(p), p 2 C related to the function to be transformed f(t), t 2 R. Then fe(p) is transformed by an integral whose path is defined on an inclined line on the complex plane. The slope of the path is the parameter of the extended definitions which reduce to common transforms with zero slope. Inverse transforms of the extended versions are also defined. These proposed definitions, when applied to filtering in complex ordered fractional Fourier stages, significantly reduce the required computation.
Course
Other identifiers
Book Title
Keywords
Filtering, Fourier transform, Fractional Fourier
transform, Laplace transform