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Estimation of the linear-phase IIR filter order based on FIR prototype with prescribed group delay

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EN
Abstrakty
EN
Known methods for IIR digital filters design require specification of filter order. In case of direct methods applied for filters with the prescribed linear phase response, the order cannot be derived from the specified filter parameters. The authors propose a procedure for filter order estimation, based on design of the FIR filter prototype, with the same design parameters. Two examples demonstrate application of the proposed procedure for filter design tasks. Comparison of the filter order obtained by the discussed approach with the real value has been also presented.
Twórcy
autor
  • Institute of Electronics, Silesian University of Technology, Gliwice, Poland
  • Institute of Electronics, Silesian University of Technology, Gliwice, Poland
Bibliografia
  • [1] Jiang , H. K. Kwan, “IIR digital filter design with new stability constraint based on argument principle,” IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 56, no. 3, pp. 583-593, Mar. 2009.
  • [2] M.C. Lang, “Least-squares design of IIR filters with prescribed magnitude and phase responses and a pole radius constraint”, IEEE Trans. on Signal Processing, Vol.48, no.11, pp.3109-3121, Nov. 2000.
  • [3] B.W.K. Ling, C.Z Wu, K.L. Teo, V. Rehbock, “Global optimal design of IIR filters via constraint transcription and filled function methods”, Circuits, Systems and Signal Processing. Vol. 32, no.3, pp. 1313-1334, 2013.
  • [4] W.S. Lu, S.C. Pei, C.C. Tseng, “A weighted least-squares method for the design of stable 1-D and 2-D IIR digital filters”, IEEE Trans. on Signal Processing, Vol.46, no.1, pp.1-10, January 1998.
  • [5] W.-S. Lu “An argument-principle based stability criterion and application to the design of IIR digital filters,” in Proc. IEEE International Symposium on Circuits and Systems, Island of Kos, Greece, 2006, pp. 4431-4434.
  • [6] Tarczyński, G.D. Cain, E. Hermanowicz, M. Rojewski, „A WISE method for designing IIR filters”, IEEE Trans. on Signal Processing, Vol.49, no.7, pp.1421-1432, July 2001.
  • [7] X.P. Lai, Z.P. Lin, “Minimax design of IIR digital filters using a sequential constrained least-squares method”, IEEE Trans. Signal Processing, 2010, Vol. 58, no. 7, July 2010, pp. 3901-3906.
  • [8] J. Konopacki, “Design of infinite impulse response digital filters - selected problems”, Zeszyty Naukowe Politechniki Slaskiej, seria Elektronika Z. 231, Gliwice 2009 (in Polish).
  • [9] J. Konopacki, K. Mościńska, „A procedure for quasi-equiripple linear-phase IIR filters design”, International Journal of Electronics and Telecommunications, 56 (4), 393-398 (2010).
  • [10] Beliczynski, J. Kale, and G. D. Cain, “Approximation of FIR by IIR digital filters: An algorithm based on balanced model reduction”, IEEE Trans. Signal Processing, Vol. 40, pp. 532-542, Mar. 1992.
  • [11] Chen, B.S., Chiou, B.W., And Peng, S.C.: “Minimum sensitivity IIR filter design using principal component approach”, IEE Proc. G: Circuits, Devices Syst., Vol. 138, no. 5. pp. 586-590, Oct. 1992.
  • [12] Chen, B.-S., Peng, S.-C, And Chiou, B.-W. “IIR filter design via optimal Hankel norm approximation”, IEE Proc. G: Circuits, Devices Syst., Vol. 139, no. 4. pp. 474-482, Aug. 1991.
  • [13] S. Holford, P. Agathoklis, “The use of model reduction techniques for designing IIR filters with linear phase in the passband”, IEEE Trans. Signal Processing, Vol. 44, no. 10, Oct. 1996, pp. 2396-2404.
  • [14] Kale, J. Gryka, G.D. Cain, B. Beliczynski, “FIR filter order reduction: balanced model truncation and Hankel-norm optimal approximation”, IEE Proc. - Vis. Image Signal Process., Vol. 141, no. 3, pp. 168-174, June 1994.
  • [15] K. Lau, V. Sreeram, Y. H. Leung, and K. L. Teo, “Design of low order approximately linear phase IIR filters”, in Proc. IEEE Symp. Advances Digital Filtering Signal Process., Victoria, BC, Canada, June 1998, PP. 92-95.
  • [16] L. Li, L. Xie, W.-Y. Yong, and Y. C. Soh, “Frequency weighted optimal order reduction of digital filters”, Signal Process., vol. 75, pp. 65-77, Jan. 1999.
  • [17] V. Sreeram and P. Agathoklis, “Design of linear-phase IIR filters via impulse-response gramians”, IEEE Trans. Signal Processing, Vol. 40, pp. 389-394, Feb. 1992.
  • [18] H. Brandenstein and R. Unbehauen, “Least-squares approximation of FIR by IIR digital filters”, IEEE Trans. Signal Process., vol. 46, no 1, pp. 21-30, January 1998.
  • [19] H. Brandenstein and R. Unbehauen, “Weighted least-squares approximation of FIR by IIR digital filters”, IEEE Trans. Signal Process., vol. 49, no. 3, pp. 558-568, March 2001.
  • [20] Betser and E. Zeheb, „Reduced order IIR approximation to FIR digital filters,” IEEE Trans. Signal Processing, Vol. 39, pp. 2540-2544, Nov. 1991.
  • [21] C. Fung and C. W. Kok, „Mixed-domain reduced order IIR approximation for FIR filter”, EUSIPCO 2004, pp. 121-124, Sep. 2004.
  • [22] H. Zhao and H. K. Kwan, „A quick design of 1-D stable IIR filters using finite impulse response fitting”, Proc. Intern. Conf. on Communication Circuits and Systems, ICCCAS 2006, pp.176-180, June 2006.
  • [23] H. K. Kwan, A. Jiang, “Recent Advances in FIR Approximation by IIR Digital Filters”, Proc. Intem. Conf. on Communication Circuits and Systems, ICCCAS 2006, pp. 185-190, June 2006.
  • [24] J. Konopacki, K. Moscinska, “Design of FIR filters with prescribed group delay in passband”, 12th National Electronics Conference, KKE 2013, Darłówko Wschodnie, 10-13 June 2013, pp. 213-218 (in Polish).
  • [25] X. P. Lai, “Optimal design of nonlinear-phase FIR filters with prescribed phase error”, IEEE Trans. Signal Process., Vol. 57, no. 9, pp. 3399-3410, Sep. 2009.
  • [26] Y. C. Lim, J.-H. Lee, C. K. Che, and R.-H. Yang, “A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design”, IEEE Transactions on Signal Processing, vol. 40, no. 3, pp. 551-558, Mar. 1992.
  • [27] T. Matsunaga, M. Yoshida, and I. Ikehara, “Design of IIR digital filters in the complex domain by transforming the desired response”, IEEE Transactions on Signal Processing, vol. 52, no. 7, pp. 1975-1982, Jul. 2004.
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Bibliografia
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