Fractionalization of the linear cyclic transforms

In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform. The main properties of the fractional transforms used...

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Bibliographic Details
Authors: Alieva Krasheninnikova, Tatiana, Calvo Padilla, María Luisa
Format: article
Publication Date:2000
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/59065
Online Access:https://hdl.handle.net/20.500.14352/59065
Access Level:Open access
Keyword:535
Optical Implementation
Fourier-Transforms
Hilbert Transform
Óptica (Física)
2209.19 Óptica Física
Description
Summary:In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform. The main properties of the fractional transforms used in optics are considered. As an example, two different types of fractional Hartley transform are introduced, and the experimental setups for their optical implementation are proposed.