Modeling and Performance Improvement of Fractional-Order Band-Pass Filter Using Fractional Elements

Abstract

Fractional-order circuits are the emerging area for analyzing the parametric response of the filters and its performance improvement can be analytically observed by using an optimization technique. In this paper, the fractional-order band-pass filter, using fractional-order capacitor (FC) and fractional-order inductor (FI), is investigated. The characteristics of the filter with desired fractional-order of FC and FI bearing range from 0.1 ≤ α ≤ 1.0 to 0.1 ≤ β ≤ 1.0, respectively having a step change of 0.1, are simulated. The frequency parameters of the proposed band-pass filter having order with in this range of α and β resulted during simulation. The quality factor is optimized from the results of the fractional-orders α and β for the given FC and FI, respectively. The theoretical quality factor in this integer-order filter is compared with its optimized Q value in its fractional-order counterpart. The proposed filter is modeled by using the best orders of α = 0.4 and β = 1.0 for FC and FI, respectively with optimized Q-factor. Finally, the frequency parameters of the filter as modeled are obtained through simulation using MATLAB/Simulink R2011a.

KEYWORDS:

• Band-pass filter
• Bandwidth (BW)
• Center frequency (f₀)
• Fractional elements (FC & FI)
• Fractional-order filter
• Optimization
• Quality factor (Q)

Additional information

Notes on contributors

K. Biswal

K Biswal completed his BTech from the College of Engineering and Technology, Bhubaneswar from the Department of Electronics and Instrumentation Engineering. He received his master's degree in instrumentation from IIT Kharagpur (West Bengal) India in 2009. Presently, he is working as assistant professor in the School of Electronics Engineering, KIIT Deemed to be University, Bhubaneswar. He is currently pursuing his PhD at the Department of Electronics and Communication Engineering, ITER, SOA deemed to be University, Bhubaneswar, India. His research interest includes fractional-order circuits and systems, instrumentation devices and sensors.

S. Swain

S Swain received his BTech degree from CV Raman College of Engineering, Bhubaneswar, Odisha, India in applied electronics and instrumentation in 2018. He recently completed his MTech degree in 2020 with the Department of Electronics and Instrumentation from the College of Engineering and Technology, Bhubaneswar, Odisha, India. His research interests include fractional-order circuits, analog signal processing and control system. E-mail: [email protected]

M. C. Tripathy

M. C. Tripathy completed his BTech (Hons) degree from the College of Engineering and Technology; Bhubaneswar in the Department of Electronics and Instrumentation Engineering. He received his ME Degree from IIST, West Bengal and received his PhD from the Department of Electrical Engineering, IIT, Kharagpur in 2015. He is currently working as assistant professor in the Department of Electronics and Instrumentation, College of Engineering and Technology, Bhubaneswar, Odisha, India. E-mail: [email protected]

S. K. Kar

S. K. Kar received his BTech degree from the College of Engineering and Technology, Bhubaneswar and completed his MTech and PhD from IIT, Kharagpur in the Department of Electrical Engineering. Presently as he is working professor in the Department of Electrical Engineering, SOA Deemed to be University, Bhubaneswar. E-mail: [email protected]