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\(L_1\)-Norm-Based Optimal Design of Digital Differentiator Using Multiverse Optimization

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Abstract

This paper presents a new optimal second-order design of the infinite impulse response digital differentiator. This design manifests the \(L_1\)-error fitness function’s optimization using the multi-verse optimization algorithm. The optimizing variables are obtained from the direct wave-form-based transfer function. The acquired magnitude response approximates the ideal differentiator with the mean absolute magnitude error − 45.8842 dB. The designed optimal differentiator has also been compared with the existing designs to manifests its efficacy.

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Data Availability

The data that support the findings of this study are available from the corresponding author on request.

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Author notes

  1. T. Rawat and D. K. Upadhyay have contributed equally to this work.

Authors and Affiliations

  1. Department of Electronics and Communication, GLA University, NH-2, Mathura, Uttar Pradesh, 281406, India

    Om Prakash Goswami

  2. Department of Electronics and Communication, Netahi Subhs University of Technology, Sector-3, Dwarka, New Delhi, Delhi, 110078, India

    Tarun Kumar Rawat & Dharmendra K. Upadhyay

Authors
  1. Om Prakash Goswami
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  2. Tarun Kumar Rawat
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  3. Dharmendra K. Upadhyay
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Goswami, O.P., Rawat, T.K. & Upadhyay, D.K. \(L_1\)-Norm-Based Optimal Design of Digital Differentiator Using Multiverse Optimization. Circuits Syst Signal Process 41, 4707–4715 (2022). https://doi.org/10.1007/s00034-022-02003-9

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