NDLI: Accurate integer-order rational approximation of fractional-order low-pass Butterworth filter using a metaheuristic optimisation approach

Content Provider	IET Digital Library
Author	Mahata, Shibendu Saha, Suman Kumar Kar, Rajib Mandal, Durbadal
Abstract	This study presents a new approach to design fractional-order low-pass Butterworth filters (FOLPBF) in terms of integer-order rational approximations meeting an accurate magnitude response. A parameter-independent, metaheuristic optimisation algorithm called colliding bodies optimisation (CBO) is used for this purpose. The CBO-based optimisation routine determines the optimal values of the coefficients for the proposed integer-order models for the (1 + α), where, 0 < α < 1, order FOLPBFs. The performance of the proposed filter is examined concerning the passband and the stopband characteristics, solution quality robustness, and the convergence rate. The generic nature of the proposed design approach is also demonstrated. The roll-off characteristics of the proposed higher orders of FOLPBFs exhibit accurate stopband attenuation behaviour. The proposed designs also achieve the best magnitude responses as compared with state-of-the-art designs published in the recent literature. The proposed models can be practically implemented without using any fractance devices.
Starting Page	581
Ending Page	589
Page Count	9
ISSN	17519675
Volume Number	12
e-ISSN	17519683
Issue Number	Issue 5, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/12/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2017.0229
Journal	IET Signal Processing
Publisher Date	2018-01-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Accurate Integer-order Rational Approximation Accurate Magnitude Response Accurate Stopband Attenuation Behaviour Approximation Theory Band-pass Filter Butterworth Filter CBO-based Optimisation Routine Colliding Bodies Optimisation Convergence of Numerical Method Convergence Rate Filtering Method in Signal Processing FOLPBF Fractional-order Low-pass Butterworth Filter Integer-order Model Interpolation And Function Approximation Low-pass Filter Metaheuristic Optimisation Approach Numerical Analysis Optimisation Optimisation Technique Parameter-independent Optimisation Algorithm Passband Characteristic Signal Processing Theory Solution Quality Robustness Stopband Characteristic
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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