Frational Order Inverse Filters Based on CCII Family

Khalil, Nariman A.; Said, Lobna A.; Radwan, Ahmed G.; Soliman, Ahmed M.

doi:10.1109/actea.2019.8851105

Cited by 3 publications

(1 citation statement)

References 18 publications

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“…Therefore, it is more appropriate to model such practical electrical circuit elements with the fractional derivative; that is, the corresponding circuit analyses are now in the fractional domain. As a result, the analyses of many circuits in fractional domain have been proposed, for example, simple circuits, 1–3 buck convertor, 4 filters, 5,6 inverse filters, 7,8 and chaotic circuits 9–11 …”

Section: Introductionmentioning

confidence: 99%

On the fractional domain analysis of negative group delay circuits

Banchuin

2023

Circuit Theory & Apps

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SummaryIn this work, the analysis of negative group delay circuits in fractional domain has been conducted. The low pass and the high pass negative group delay circuits constructed based on passive network have been chosen as our candidate circuits. For performing the analysis in fractional domain, the novel Caputo–Fabrizio derivative‐based fractional impedance have been introduced to both circuits. The crucial parameters, the necessary conditions, and the existence conditions of both candidate negative group delay circuits have been formulated. The simulations have been conducted based on the formulated results where the comparisons with the conventional prototypes have been made. The verifications by the proof‐of‐concept circuits have also been performed. In addition, the effects of variation in the order of fractional impedances have been investigated. In summary, it has been found that considering these negative group delay circuits in the fractional domain, which effectively taking unavoidable nonidealities that cannot be modeled in conventional domain into account, significantly alters their characteristics especially the low pass circuit. However they can retain their low pass and high pass negative group delay functions.

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Section: Introductionmentioning

confidence: 99%

On the fractional domain analysis of negative group delay circuits

Banchuin

2023

Circuit Theory & Apps

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Double‐order negative group delay filtering function: A brilliant capability of the bilinear double‐order transfer function

Banchuin

2024

Circuit Theory & Apps

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In this work, the capability to generate the negative group delay (NGD) phenomenon at those frequencies higher than a certain value, that is, the NGD high‐pass (HP) filtering function, of the bilinear double‐order transfer function has been demonstrated. Based on the Type‐I bilinear double‐order filter circuit, our theory has been verified by strong agreements between the formulae and their proof‐of‐concept (POC) circuit‐based simulation results. Both formula‐based and POC circuit‐based simulations give the minimum group delay of −5 ms yet the cut‐off frequency of 10 and 9 rad/s, respectively. Such slight deviation is caused by the approximation error of the bilinear double‐order impedance. By employing two orders, the bilinear double‐order transfer function has been found to be the basis transfer function for the NGD filtering function with the highest degree of freedom. Based on our design equation for the NGD filtering function, it can be seen that the distances between zero and pole and the characteristic frequency of the bilinear double‐order transfer function are governed by such characteristic frequency itself, the cut‐off frequency of the NGD filtering function, and the fractional order of the Laplacian operator. In addition, the effects of the fractional order of the Laplacian operator, the fractional order of the transfer function, and the ratio of the abovementioned distances to the characteristics of the newly found double‐order NGD filtering function have been studied in detail.

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