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A New Design Approach for Nearly Linear Phase Stable IIR Filter using Fractional Derivative 被引量:1

A New Design Approach for Nearly Linear Phase Stable IIR Filter using Fractional Derivative
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摘要 In this paper,a new design method for digital infinite impulse response(IIR)filters with nearly linear-phase response is presented using fractional derivative constraints(FDCs).In the proposed method,design problem of an IIR frlter is constructed as the minimization of phase error between the desired and designed phase response of an allpass filter(APF)such that the designed lowpass filter(LPF)or highpass frlter(HPF)yields less passband(ep),and stopband errors(es)with optimal stopband attenuation(As).In order to have accurate passband(pb)response,FDCs are imposed on appropriate reference frequency,where the optimality of these FDCs are ensured by using a new greedy based sorting mechanism.The simulated results reflect the efficiency of the proposed method in term of improved passband response along with better transition width.However,small reduction in^is observed within the allowable limit,when compared to noin-fractional design approach,but the designed filter remains immune to wordlength(WL)effect. In this paper,a new design method for digital infinite impulse response (IIR) filters with nearly linear-phase response is presented using fractional derivative constraints (FDCs).In the proposed method,design problem of an IIR frlter is constructed as the minimization of phase error between the desired and designed phase response of an allpass filter (APF) such that the designed lowpass filter (LPF) or highpass frlter (HPF) yields less passband (e_p),and stopband errors (e_s) with optimal stopband attenuation (A_s).In order to have accurate passband (pb) response,FDCs are imposed on appropriate reference frequency,where the optimality of these FDCs are ensured by using a new greedy based sorting mechanism.The simulated results reflect the efficiency of the proposed method in term of improved passband response along with better transition width.However,small reduction in^is observed within the allowable limit,when compared to noin-fractional design approach,but the designed filter remains immune to wordlength (WL) effect.
出处 《IEEE/CAA Journal of Automatica Sinica》 EI CSCD 2020年第2期527-538,共12页 自动化学报(英文版)
关键词 Fractional derivative constraint(FDC) infinite impulse response(IIR)filter least squared linear phase QUANTIZATION Fractional derivative constraint(FDC) infinite impulse response(IIR) filter least squared linear phase quantization
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  • 1袁晓,张红雨,虞厥邦.分数导数与数字微分器设计[J].电子学报,2004,32(10):1658-1665. 被引量:47
  • 2蒲亦非,袁晓,廖科,陈忠林,周激流.现代信号分析与处理中分数阶微积分的五种数值实现算法[J].四川大学学报(工程科学版),2005,37(5):118-124. 被引量:31
  • 3Ling-Lai Li Dong-Hua Zhou Ling Wang.Fault Diagnosis of Nonlinear Systems Based on Hybrid PSOSA Optimization Algorithm[J].International Journal of Automation and computing,2007,4(2):183-188. 被引量:1
  • 4K B Oldham,J Spanier.The Fractional Calculus[M].New York:Academic,1974.
  • 5K S Miller,B Ross.An Introduction to the Fractional Calculus and Fractional Differential Equations[M].New York:Wiley,1993.
  • 6J A Tenreiro Machado.Analysis and design of fractional-order digital control systems[J].Systems Analysis Model Simulation,1997,27(2):107-122.
  • 7B M Vinagre,I Podlubny,A Hemandez.Some approximations of fractional order operators used in control theory and applications[J].Fractional Calculus and Applied Analysis,2000,3(3):231-248.
  • 8M Shao,C L Nikias.Signal processing with fractional lower order moment:stable processes and their applications[J].Proceeding of IEEE,1993,81(7):986-1010.
  • 9B Mathieu,P Melchior.A Oustaloup and C Ceyral,Fractional differentiation for edge detection[J].Signal Processing,2003.83(11):2421-2432.
  • 10C Tseng,S Pei.S Hsia.Computation of fractional derivatives using fourier transform and digital FIR differentiator[J].Signal Processing,2000,80(1):151-159.

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