2005, English, Article edition: Unified construction of fractional generalized orthogonal bases Malti, Rachid; Aoun, Mohamed; Levron, François; ...

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2005
Language
  • English

Edition details

Title
  • Unified construction of fractional generalized orthogonal bases
Author
  • Malti, Rachid
  • Aoun, Mohamed
  • Levron, François
  • Oustaloup, Alain
Published
  • HAL - CCSD
  • 2005
Physical Description
  • text
Subjects
Notes
  • A unified approach is presented for the synthesis of continuous-time fractional Generalized orthogonal bases including Laguerre-like, Kautz-like and the Generalized-Orthogonal-Basis-like(GOB-like) bases. They extend the definitions of their rational counterpart to fractional differentiation orders. Modes can either be chosen to be real or by pairs complex conjugate. Completeness of fractional Laguerre-like basis is demonstrated.
  • HAL:hal-00401591, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00401591/​en/​
Language
  • English
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