Extensions to common laplace and fourier transforms
Author
Onural, L.
Erden, M. F.
Haldun M. Özaktaş
Date
1997-11Source Title
IEEE Signal Processing Letters
Print ISSN
1070-9908
Publisher
Institute of Electrical and Electronics Engineers
Volume
4
Issue
11
Pages
310 - 312
Language
English
Type
ArticleItem Usage Stats
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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.