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Iterative optimization algorithm of infinite impulse response digital filters'design with low group-delay


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Iterative optimization algorithm of infinite impulse response digital filters'design with low group-delay
Yang Yan1Xu Pingping2
1.Department of Electronic and Electrical Engineering,Bengbu College,Bengbu 233030,China; 2.National Mobile Communications Research Lab,Southeast University,Nanjing 210096,China
iterative optimization algorithm group delay filter design nearly linear-phase constrained optimization infinite impulse response
An improved iterative optimization algorithm(IIOA)is proposed to reduce the large group delay of bandpass for infinite impulse response(IIR)digital filters with nearly linear-phase.When initial group delay values are fixed the group-delay is minimized by the IIOA mentioned here with constraining the maximum passband ripple and minimax stopband attenuation.The second-order sections of filter are described by a set of linear inequality which is used in optimization algorithm.To avoid the abnormal transition band,the scale is set 1.In the experiment the 10-order and 18-order IIR low-pass filters are designed with the 0.266 dB and 0.232 dB maximum passband ripple and 36.132 dB and 49.97 dB,minimum stopband attenuation respectively.The experimental results show the group delay obtained here are decreased by 32.2% and 26% through this algorithm compared with the literature method.At the same time transition band gains are decreased by 10.5% and 17.6%.


[1] Lu W S.An argument-principle based stability criterion and application to the design of IIR digital filters[C]//Proceedings of IEEE International Symposium on Circuits and Systems.British Columbia,Canada:Department of Electronis and Computer Engineer-ing,2006.
Zhang Xuzhen,Ma Hongmei,Xue Pengqian.IIR digital filters design based on improved PSO algorithm[J].Computer Engineering and Design,2011,32(8):2853-2856.
Chen Bingshi.IIR digital filters design based on modified seeker optimization algorithm[J].Journal of Chongqing University of Posts and Telecommuni-cations,2013,25(4):445-449.
Xu Hong,Li Gang,Huang Chaogeng.Parametric approach to IIR digital filter design[J].Chinese Journal of Electronics,2012,40(4):847-854.
Tan Xiao,Liu Zihanli Lingyu.Parameter optimization of IIR digital filter based on adaptive simulated annealing genetic algorithms[J].Journal of Sichuan University of Science and Engineering:Natural Science Editton,2011,24(4):426-411.
[7]Antoniou A.Digital signal processing:signals,systems,and filters[M].New York:McGraw-Hill,2005.
[8]Guindon D,Shpak J,Antoniou A.Design methodology for nearly linear-phase recursive digital filters by constrained optimization[J].IEEE Trans Circuits Syst I,2010,7(57):1719-1731.
[9]Padma K,Sameena Z,Ankita S.16-order IIR filter design using vedic mathematic technique[J].IJEIR,2014,3(2):138-141.
[10]Lai X,Lin Z.Minimax design of IIR digital filters using a sequential constrained least-squares method[J].IEEE Trans Signal Process,2010,58(7):3901-3906.
[11]Lai X,Lin Z.Minimax phase error design of IIR digital filters with prescribed magnitude and phase responses[J].IEEE Trans Signal Process,2012,60(2):980-986.
[12]Lai Z.Lin Z,Kwan H K.A sequential minimization procedure for minimax design of IIR filters based on second-order factor updates[J].IEEE Trans Circuits Syst-II:Exp.Briefs,2011,1(58):51-55.
[13]Ko N.Design of recursive delay equalizers by constrained optimization[D].Vancouver Canada:Department of Electronics and Computer Engineering University of Victoria,2001.
[14]Nuri O.A new IIR filter initialization technique for low-cut(high-pass)filtering of seismic records[J].Bulletin of the Seismological Society of America,2014,104(4):1685-1695.
[15]Lang M C.Least-squares design of IIR filters with prescribed magnitude and phase responses and a pole radius constraint[J].IEEE Trans Signal Process,2000,48(11):3109-3121.
[16]Lu W S,Hinmoto T.Optimal design of IIR digital filters with robust stability using conic-quadratic-programming updates[J].IEEE Trans Signal Process,2003,51(6):1581-1592.
Liu Guangzu,Wang Jianxin,Xue Wen.Timing recovery loop filter for digital communication systems[J].Journal of Nanjing University of Science and Technology,2012,36(3):453-458.
[18]Kale I,Gryka A J,Cain G.D.Belicaynski B.FIR filter order reduction:Balanced model truncation and Hankel-norm optimal approximation[J].IEEE Proc Vis Image Signal Process,1994,6(141):168-174.


Last Update: 2016-06-30