Research PaperNo Access

Analysis and Design of Optimized Fractional Order Low-Pass Bessel Filter

Advanced Electronics Lab, Department of Electronics and Communication Engineering, Faculty of Technology (University of Delhi) New Delhi 110078, India

E-mail Address: soniashu.14@gmail.com

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and

Maneesha Gupta

https://orcid.org/0000-0003-2495-678X

Advanced Electronics Lab, Department of Electronics and Communication Engineering, Netaji Subhas University of Technology (Formerly NSIT) New Delhi 110078, India

E-mail Address: Maneeshapub@gmail.com

Corresponding author.

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https://doi.org/10.1142/S0218126621500353Cited by:16 (Source: Crossref)

Abstract

This paper approximates the behavior of low-pass Bessel filter in fractional domain using the Interior search algorithm (ISA). A detailed analysis has been done with sensitivity analysis, W-plane stability and absolute percentage error (gain and cut-off frequency) to study the low-pass fractional order filter. The work focuses on the analysis and design of fractional filter with two cases. In the first case, the design and simulation of $(1 + α)$ order low-pass Bessel filter has been done using MATLAB for $α$ value ranging from 0.1 to 0.9. SPICE simulation of 1.2, 1.5 and 1.9 order low-pass Bessel filter using fractional order capacitor of order $α$ with Tow–Thomas biquad have been performed. In the second case, low-pass ( $α + β)$ order Bessel filter has been simulated and designed using MATLAB, where $α$ and $β$ are two fractional order elements of a different order. SPICE simulation for different values of $α$ and $β$ have been done using two fractional order capacitors of $α$ and $β$ order with Tow–Thomas biquad.

This paper was recommended by Regional Editor Emre Salman.

Keywords:

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