A Relation Between the Fractional Derivative and the Hilbert Transform

Manuel Duarte Ortigueira; DEE Group Author

doi:10.3182/20120215-3-AT-3016.00106

A Relation Between the Fractional Derivative and the Hilbert Transform

Manuel Duarte Ortigueira, DEE Group Author

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A new formulation for the Hilbert transform is presented. This is obtained from the Unified Fractional Derivative as a special case. It can be considered as a zero order derivative.

Original language	Unknown
Title of host publication	Mathmod - International Conference on Mathematical Modelling
Pages	597-599
DOIs	https://doi.org/10.3182/20120215-3-AT-3016.00106
Publication status	Published - 1 Jan 2012
Event	7th Vienna International Conference on Mathematical Modelling - Duration: 1 Jan 2012 → …

Conference

Conference	7th Vienna International Conference on Mathematical Modelling
Period	1/01/12 → …

Access to Document

10.3182/20120215-3-AT-3016.00106

Cite this

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title = "A Relation Between the Fractional Derivative and the Hilbert Transform",

abstract = "A new formulation for the Hilbert transform is presented. This is obtained from the Unified Fractional Derivative as a special case. It can be considered as a zero order derivative.",

author = "Ortigueira, {Manuel Duarte} and {DEE Group Author}",

year = "2012",

month = jan,

day = "1",

doi = "10.3182/20120215-3-AT-3016.00106",

language = "Unknown",

pages = "597--599",

booktitle = "Mathmod - International Conference on Mathematical Modelling",

note = "7th Vienna International Conference on Mathematical Modelling ; Conference date: 01-01-2012",

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AU - DEE Group Author

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N2 - A new formulation for the Hilbert transform is presented. This is obtained from the Unified Fractional Derivative as a special case. It can be considered as a zero order derivative.

AB - A new formulation for the Hilbert transform is presented. This is obtained from the Unified Fractional Derivative as a special case. It can be considered as a zero order derivative.

U2 - 10.3182/20120215-3-AT-3016.00106

DO - 10.3182/20120215-3-AT-3016.00106

M3 - Conference contribution

SP - 597

EP - 599

BT - Mathmod - International Conference on Mathematical Modelling

T2 - 7th Vienna International Conference on Mathematical Modelling

Y2 - 1 January 2012

ER -