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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Detalhes bibliográficos
Autores: Alieva Krasheninnikova, Tatiana, Calvo Padilla, María Luisa
Formato: artículo
Fecha de publicación:2000
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59065
Acesso em linha:https://hdl.handle.net/20.500.14352/59065
Access Level:acceso abierto
Palavra-chave:535
Optical Implementation
Fourier-Transforms
Hilbert Transform
Óptica (Física)
2209.19 Óptica Física
Descrição
Resumo: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.