Goran Zoran Stancic, Sasa Vasilije Nikolic, Dragan Dimitrije Mancic, Igor Dusan Jovanovic

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This paper describes a new procedure for design of complementary IIR digital filters based on group delay approximation. The filters are realized as parallel sum of two all-pass filters, a structure for which low complexity implementations exist. Problem with phase warping which is inevitable if filter design is made through phase approximation will be removed using proposed method. Adequate initial solution is also proposed. Realized amplitude characteristics of complementary filters will be approximately equriripple. The design examples illustrate that the proposed algorithm is very efficient in term of computation time and number of iterations.

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P.A. Regalia, S.K. Mitra and P.P. Vaidynathan: "The Digital All-Pass Filter: A Versatile Signal Processing Building Block", Proceedings of the IEEE, vol. 76, No. 1, January 1988, pp. 19-37.

P.P. Vaidyanathan, S.K. Mitra and Y. Neuvo: "A New Approach To the realization of Low Sensitivity IIR Digital Filters", IEEE Trans. on Acoust., Speech and Sig. Proc., vol. ASSP-34, 1986, pp. 350-361.

P.P. Vaidyanathan, P.A. Regalia and S. K. Mitra: "Design of Doubly Complementary IIR Digital Filters Using a Single Complex Allpass Filters with Multirate Applications", IEEE Trans. on Circuits and Systems, vol. CAS-34, No. 4, 1987, pp. 378-389.

B.M. Djurich and G.Z. Stancich: "Selective digital filters with linear phase", Int. J. Electron. Commun. (AEU), vol. 56, No. 2, 2002, pp. 131-134.

M. Lang: "Allpass filter design and applications", IEEE Trans. Sign. Process., vol. 46, 1998, pp. 2505-2514.

A. N. Willson and H. J. Orchard: "Insights into Digital Filters Made as the Sum of Two Allpass Functions", IEEE Trans. on Circuits and Systems, vol. 42, No.3, 1995, pp. 129-137.

Huang Jia-Sheu and S. Lowson: "Design of IIR digital filters using all-pass networks", ECCTD, 1997, pp. 529-532.

M. Lang, M. and T.I. Laakso: "Simple and robust method for the design of allpass filters using least--squares phase error criterion", IEEE Trans. Circ.& Sys., vol. 41, 1994, pp. 40-48.

B.D. Raković and B.M. Djurić: "Chebyshev approximation of a constant group delay with constraints at the origin" IEEE Trans. on Circuit and Systems, vol. CT-19, 1972, pp. 466-475.

Ivan Selesnick: "Low-pass filters realizable as all-pass sums: design via a new flat delay filter", IEEE Trans. on Circuits and Systems - II: Analog and Digital Signal Processing, vol. 46, No. 1, 1999, pp. 40-50.

P.P. Vaidyanathan: "Some properties of IIR power-symetric filters", ICASSP 2007, pp. III 1449--III 1452.

Z. Jing: "A new method for digital allpass filter design", IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, Nov. 1987, pp. 1557-1564.

C.K. Chen and J.H. Lee: "Design of digital allpass filters using a weighted least squares approach", IEEE Trans. Circuits Syst. II, vol. 41, May 1994, pp. 346-350.

M. Ikehara, H. Tanaka and H. Huroda: "Design of IIR digital filters using allpass networks", IEEE Trans. Circuits Syst. II, vol. 41, March 1994, pp. 231-235.

X. Zhang and H. Iwakura: "Design of IIR digital filters based on eigenvalue problem", IEEE Trans. Signal Processing, vol. 44, June 1996, pp. 1325-1333.

X. Zhang and H. Iwakura: "Design of IIR Digital Allpass Filters Based on Eigenvalue Problem", IEEE Trans. Signal Processing, vol. 47, No. 2, Feb. 1999, pp. 554-559.

T. Nguyen, T. Laakso and R. Koilpillai: "Eigenfilter approach for the design of allpass filters approximating a given phase response", IEEE Trans. Signal Processing, vol. 42, No. 9, Sep. 1994, pp. 2257-2263.


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