DocumentCode
998618
Title
An Alternative Derivation of the Al-Alaoui Operator
Author
Radisavljevic, Verica
Author_Institution
Dept. of Math., Rutgers Univ., Piscataway, NJ
Volume
15
fYear
2008
fDate
6/30/1905 12:00:00 AM
Firstpage
881
Lastpage
882
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
approximation theory; continuous time systems; differential equations; integral equations; signal processing; Al-Alaoui operator; bilinear transformation; continuous-time approximate differentiator; first-order digital differentiators; first-order digital integrators; Circuits; Digital filters; Electrons; Mathematics; PD control; Pi control; Sampling methods; Terminology; Three-term control; Transfer functions; Al-Alaoui operator; digital differentiators; digital integrators; discretization;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2008.2008211
Filename
4682565
Link To Document