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Performance Analysis of Fractional Order Low-pass Filter

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Advances in Intelligent Computing and Communication

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 109))

Abstract

In this paper, analysis of fractional order passive RC low-pass filter circuit is presented. The time domain behaviors were expressed for different values of fractional order α. The output of fractional order low-pass filter for order α has been simulated by MATLAB software. The effect of fractional order α on frequency response is represented as simulation results. The design of these filters using an approximation of the fractional Laplacian operator is outlined. A fractance device of order α which uses usual expression sα is analyzed and presented using continuous fraction expansion (CFE) method. The fractional order operator α is rationalized approximately by using different methods (Oustaloup, Newton and CFE method) and is presented and compared with the ideal response of the filter circuit. The fractional order circuits have better design flexibility than the integer-order circuits. The performance of integer-order circuit is improved by the replacement of fractional component as it has greater degree of freedom.

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Author information

Authors and Affiliations

  1. School of Electronics Engineering, Kalinga Institute of Industrial Technology (DU), Bhubaneswar, India

    Kumar Biswal

  2. Department of Instrumentation & Electronics Engineering, CET, BPUT, Bhubaneswar, India

    Madhab Chandra Tripathy

  3. ITER, SoA, Deemed to be University, Bhubaneswar, Odisha, India

    Sanjeeb Kar

Authors
  1. Kumar Biswal
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  2. Madhab Chandra Tripathy
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  3. Sanjeeb Kar
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Corresponding author

Correspondence to Kumar Biswal .

Editor information

Editors and Affiliations

  1. Department of Electronics and Communication Engineering, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha, India

    Mihir Narayan Mohanty

  2. Electronics and Communication Sciences Unit, Indian Statistical Institute, Kolkata, West Bengal, India

    Swagatam Das

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Biswal, K., Tripathy, M.C., Kar, S. (2020). Performance Analysis of Fractional Order Low-pass Filter. In: Mohanty, M., Das, S. (eds) Advances in Intelligent Computing and Communication. Lecture Notes in Networks and Systems, vol 109. Springer, Singapore. https://doi.org/10.1007/978-981-15-2774-6_28

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