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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/7243
Title: Design of Bandpass and Bandstop Infinite Impulse Response Filters Using Fractional Derivative
Authors: Agrawal N.
Kumar A.
Bajaj V.
Singh, Girish Kumar
Published in: IEEE Transactions on Industrial Electronics
Abstract: In this paper, a new design method for digital bandpass and bandstop infinite impulse response filters with nearly linear-phase response is proposed. In this method, the phase response of an all-pass filter is optimized in the frequency domain to yield less passband error Erp and stopband error Ers with optimal stopband attenuation As. To achieve high accuracy in passband and stopband regions, fractional derivative (FD) constraints are evaluated in the respective regions, and the filter coefficients are computed using the Lagrange multiplier method. The behavior of fidelity parameters measured in terms of Erp, Ers, and phase error Erph is multimodel w.r.t. FD values. Therefore, modern heuristic technique, known as cuckoo search optimization is used for determining the optimal value of FDs and reference frequency simultaneously to minimize the fitness function, which is constructed as a sum of the squared error in passband and stopband. The designed filter yields up to 60% reduction in Erp and Erph in the case of bandpass filter. Meanwhile, the response of filter is not degraded due to the finite word length effect. © 2018 IEEE.
Citation: IEEE Transactions on Industrial Electronics (2019), 66(2): 1285-1295
URI: https://doi.org/10.1109/TIE.2018.2831184
http://repository.iitr.ac.in/handle/123456789/7243
Issue Date: 2019
Publisher: Institute of Electrical and Electronics Engineers Inc.
Keywords: Bandpass filter (BPF)
bandstop filter (BSF)
fractional derivatives (FDs)
infinite impulse response (IIR) filter
least squared
linear phase
quantization
ISSN: 2780046
Author Scopus IDs: 57197023804
57215268681
57209289122
57193351909
Author Affiliations: Agrawal, N., Electronics and Communication Engineering Department, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design and Manufacturing Jabalpur, Jabalpur, Madhya Pradesh 482005, India
Kumar, A., Electronics and Communication Engineering Department, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design and Manufacturing Jabalpur, Jabalpur, Madhya Pradesh 482005, India
Bajaj, V., Electronics and Communication Engineering Department, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design and Manufacturing Jabalpur, Jabalpur, Madhya Pradesh 482005, India
Singh, G.K., Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Funding Details: He is a currently a Professor in the Electri-cal Engineering Department, the Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India. He has coordinated a number of research projects sponsored by the CSIR and UGC, Government of India. His academic and research interests include design and analysis of electrical machines and biomedical signal processing.
Corresponding Author: Agrawal, N.; Electronics and Communication Engineering Department, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design and Manufacturing JabalpurIndia; email: nikhil.agrawal@iiitdmj.ac.in
Appears in Collections:Journal Publications [EE]

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