An optimal second-order approximation of the time-delay element and its circuit realization.

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Title: An optimal second-order approximation of the time-delay element and its circuit realization.
Authors: Elwakil, A. S.1 (AUTHOR) ahmed.elwakil@ucalgary.ca, Maundy, B. J.2 (AUTHOR) bmaundy@ucalgary.ca
Source: Circuits, Systems & Signal Processing. Feb2026, Vol. 45 Issue 2, p1544-1554. 11p.
Subjects: Operational amplifiers, Current conveyors, Circuit elements, Approximation error, Electronic equipment, Electronic circuit design
Abstract: In this letter, we propose an optimal second-order approximation of the ideal unit delay function and provide some possible circuit realizations. Because it is based on standard second-order filter blocks, the approximation is flexible and can be realized using multiple different circuits based on operational amplifiers, operational transconductance amplifiers, second generation current conveyors or other active building blocks offering a quick yet accurate realization of the unit delay function. Simulations and experimental results are presented to validate the theory. [ABSTRACT FROM AUTHOR]
Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 192346221
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  Data: <searchLink fieldCode="DE" term="%22Operational+amplifiers%22">Operational amplifiers</searchLink><br /><searchLink fieldCode="DE" term="%22Current+conveyors%22">Current conveyors</searchLink><br /><searchLink fieldCode="DE" term="%22Circuit+elements%22">Circuit elements</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+error%22">Approximation error</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+equipment%22">Electronic equipment</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+circuit+design%22">Electronic circuit design</searchLink>
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  Data: In this letter, we propose an optimal second-order approximation of the ideal unit delay function and provide some possible circuit realizations. Because it is based on standard second-order filter blocks, the approximation is flexible and can be realized using multiple different circuits based on operational amplifiers, operational transconductance amplifiers, second generation current conveyors or other active building blocks offering a quick yet accurate realization of the unit delay function. Simulations and experimental results are presented to validate the theory. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00034-025-03297-1
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        Text: English
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      – SubjectFull: Operational amplifiers
        Type: general
      – SubjectFull: Current conveyors
        Type: general
      – SubjectFull: Circuit elements
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      – SubjectFull: Approximation error
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      – SubjectFull: Electronic equipment
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      – SubjectFull: Electronic circuit design
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              Text: Feb2026
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