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Title: Hybrid method for designing digital FIR filters based on fractional derivative constraints
Authors: Baderia K.
Kumar A.
Singh, Girish Kumar
Published in: ISA Transactions
Abstract: In this manuscript, a hybrid approach based on Lagrange multiplier method and cuckoo search (CS) optimization technique is proposed for the design of linear phase finite impulse response (FIR) filters using fractional derivative constraints. In the proposed method, FIR filter is designed by optimizing the integral squares in passband and stopband from ideal response such that the fractional derivatives of designed filter response become zero at a given frequency point. Lagrange multiplier method is exploited for finding the optimized filter coefficients. Optimal value of fractional derivative constraints for optimized filter coefficients are determined by minimizing the objective function constructed using a sum of maximum passband ripple and maximum stopband ripple in frequency domain using CS algorithm. Performance of the proposed method is evaluated by passband error (?p), stopband error (?s), stopband attenuation (As), maximum passband ripple (MPR), maximum stopband ripple (MSR) and CPU time. A comparative study of the performance of particle swarm optimization (PSO) and artificial bee colony (ABC) for designing FIR filters using the proposed method is also made. © 2015 ISA.
Citation: ISA Transactions (2015), 58(): 493-508
Issue Date: 2015
Publisher: ISA - Instrumentation, Systems, and Automation Society
Keywords: ABC
Cuckoo search
Fractional derivative constraints
ISSN: 190578
Author Scopus IDs: 56656462700
Author Affiliations: Baderia, K., PDPM, Indian Institute of Information Technology Design and Manufacturing, Jabalpur, MP, 482005, India
Kumar, A., PDPM, Indian Institute of Information Technology Design and Manufacturing, Jabalpur, MP, 482005, India
Kumar Singh, G., Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, 247667, India
Corresponding Author: Baderia, K.; PDPM, Indian Institute of Information Technology Design and ManufacturingIndia; email:
Appears in Collections:Journal Publications [EE]

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