An alternative derivation of the Al-Alaoui operator

Verica Radisavljevic

doi:10.1109/LSP.2008.2008211

An alternative derivation of the Al-Alaoui operator

Verica Radisavljevic

Rutgers - The State University of New Jersey, New Brunswick

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

It is shown in this letter that the well-known class of first-order digital differentiators and integrators can be simply derived from a classical continuous-time approximate differentiator by using the bilinear transformation. The result obtained represents a simple and alternative method of deriving the Al-Alaoui operator (also known as Al-Alaoui's differentiator, integrator, transform).

Original language	English
Pages (from-to)	881-882
Number of pages	2
Journal	IEEE Signal Processing Letters
Volume	15
DOIs	https://doi.org/10.1109/LSP.2008.2008211
State	Published - 2008
Externally published	Yes

Keywords

Al-Alaoui operator
Digital differentiators
Digital integrators
Discretization

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10.1109/LSP.2008.2008211

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title = "An alternative derivation of the Al-Alaoui operator",

abstract = "It is shown in this letter that the well-known class of first-order digital differentiators and integrators can be simply derived from a classical continuous-time approximate differentiator by using the bilinear transformation. The result obtained represents a simple and alternative method of deriving the Al-Alaoui operator (also known as Al-Alaoui's differentiator, integrator, transform).",

keywords = "Al-Alaoui operator, Digital differentiators, Digital integrators, Discretization",

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year = "2008",

doi = "10.1109/LSP.2008.2008211",

language = "English",

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N2 - It is shown in this letter that the well-known class of first-order digital differentiators and integrators can be simply derived from a classical continuous-time approximate differentiator by using the bilinear transformation. The result obtained represents a simple and alternative method of deriving the Al-Alaoui operator (also known as Al-Alaoui's differentiator, integrator, transform).

AB - It is shown in this letter that the well-known class of first-order digital differentiators and integrators can be simply derived from a classical continuous-time approximate differentiator by using the bilinear transformation. The result obtained represents a simple and alternative method of deriving the Al-Alaoui operator (also known as Al-Alaoui's differentiator, integrator, transform).

KW - Al-Alaoui operator

KW - Digital differentiators

KW - Digital integrators

KW - Discretization

UR - https://www.scopus.com/pages/publications/67650156864

U2 - 10.1109/LSP.2008.2008211

DO - 10.1109/LSP.2008.2008211

M3 - Article

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SN - 1070-9908

VL - 15

SP - 881

EP - 882

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

An alternative derivation of the Al-Alaoui operator

Abstract

Keywords

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