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Theory and Applications of Non-integer Order Systems pp 169–174Cite as

Digital Fractional Integrator

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

The paper presents a new approach for determining digital fractional integrator based on the Grünwald–Letnikov differintegrals. The input signal of the integrator includes a sampling time, numerical values and an order of the differintegrals. The present invention pertains generally to the field of integration of digital signals and more particularly to digital signal processing (DSP) and especially to infinite impulse response filters (IIR).

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References

  1. Lyons, R.G.: Understanding Digital Signal Processing. Prentice Hall, Upper Saddle River (2010)

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  2. Cioć, R.: Physical and geometrical interpretation of Grünwald-Letnikov differintegrals: measurement of path and acceleration. Fract. Calc. Appl. Anal. 19(1), 161–172 (2016)

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  3. Das, S.: Functional Fractional Calculus. Springer (2011)

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  4. Ostalczyk, P.: Zarys Rachunku Różniczkowo-Całkowego Ułamkowych Rzȩdów. Teoria i Zastosowanie w Praktyce. Wydawnictwo Politechniki Łódzkiej, Łódź (2008)

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  5. Cioć, R.: Cyfrowy integrator rzeczywistego rzȩdu pochodno-całki. Zgłoszenie patentowe (Patent Application) P.411354, Urza̧d Patentowy Rzeczypospolitej Polskiej (2015)

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Author information

Authors and Affiliations

  1. Faculty of Transport and Electrical Engineering, Kazimierz Pulaski University of Technology and Humanities in Radom, Malczewskiego 29, 26-600, Radom, Poland

    Radosław Cioć

Authors
  1. Radosław Cioć
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Corresponding author

Correspondence to Radosław Cioć .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Cioć, R. (2017). Digital Fractional Integrator. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_16

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

  • eBook Packages: EngineeringEngineering (R0)

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