Degenerate Chebyshev Approximation Of The Recursive Digital Filter Group Delay Response

• Autorzy: Micic, A. , Lekic, P. , Spalevic, P. , Petrovic, V.

Warianty tytułu

PL

Zmodyfikowana aproksymacja Czebyszewa uwzględniająca opóźnienie w filtrach cyfrowych

• Języki publikacji: EN

Abstrakty

EN

Multiple-pole transfer functions approximating a constant group delay in a degenerate minimax sense is presented in this paper. The introduction of constraints at the origin and at extremes of the group delay near the cutoff frequency, has improved passband and stopband performances significantly, while by using the multiple pole transfer function, the less sensitivity to the filter coefficients change is achieved simultaneously.

PL

Zaprezentowano wielobiegunową funkcję transferu uwzględniającą grupowe opóźnienie w filtrach cyfrowych. Wprowadzenie wymuszenia znacznie poprawia parametry zarówno w paśmie przenoszenia jak i zaporowym. Uzyskano też mniejszą wrażliwość na zmianę parametrów filtru.

Słowa kluczowe

PL

filtr Czebyszewa; filtry cyfrowe

EN

Chebyshev approximation; multiple pole transfer function

• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2012
• Tom: R. 88, nr 5b
• Strony: 218-221
• Opis fizyczny: Bibliogr. 15 poz., schem.

Twórcy

autor

Micic, A.

autor

Lekic, P.

autor

Spalevic, P.

autor

Petrovic, V.

• Faculty of Mechanical Engineering,University of Nis, Serbia

Bibliografia

• [1] J. Thiran, "Equal-ripple delay recursive digital filters", in IEEE Trans on Circuit Theory, Vol. 18, Issue 6 pp. 664-669, November 1971.
• [2] A. Deczky, "Recursive digital filters having equiripple group delay", in IEEE Trans on Circuits and Systems, Vol. 21, Issue 1, pp. 131-136 January 1974.
• [3] V. Stojanovic, A. Micic, "Multiple-pole transfer function for recursive digital filter design" , in AEU Int. J. Electron. Commun., Vol. 46, pp. 431-434 November 1992.
• [4] V. Stojanovic, A. Micic, "Multiple-pole transfer function with equiripple group delay and magnitude for recursive filter design", AEU Int. J. Electron. Commun., Vol. 47 pp. 114-118, February 1993.
• [5] G. Mollova, R. Unbehauen, "Design of Recursive Filters with Constant Group Delay and Chebyshev Attenuation ", in Proc. 23rd Int. Conference on Acoustic, Speech, And Signal Processing - ICASSP’98, May 12-15, 1998, Seattle, WA, USA v.3, pp.1257-1260.
• [6] G. Mollova "Digital Filters Design with Arbitrary Magnitude and Phase Specifications", in Contents of Proceedings Electronics, Book 2, pp.65-70. 1998.
• [7] L. Rabiner, B. Gold Theory and application of digital signal processing, Prentice-Hall, INC. Englewood Cliffs, New Jersey, 1975.
• [8] J. Kaiser, "Design methods for digital filters", Proc. of the first allerton conference on Circuit And System Theory, 1963.
• [9] V. Cappelini, A. Constantinides, P. Emiliani Digital filters and their applications, Academic press, London, 1978.
• [10] 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, pp. 2396-2404, Oct. 1996 .
• [11] B. Weisburn, T. Parks, B. Shenoy, "Error criteria for filter design", Proc. of the IEEE International Conference on Acoustics, Speech, And Signal Processing, Vol. 3, page III: 5658211;568, IEEE ICASSP-94, Adelaide, Australia, April 198211, 22 1994.
• [12] XI Zhang, K. Suzuki, T. Yoshikawa, "Complex Chebyshev approximation for IIR digital filters based on eigen-value problem" IIEEE Trans. on Circuit and II: Analog And Digital Signal Processing, Vol. 47, No. 12, pp.1429-1436, December 2000.
• [13] J. Bandler, M. Rizk, H. Tromp, "Efficient calculation of exact group delay sensitivities", , IEEE Trans. on Microwave Theory and Techniques, Vol. MTT-24,No.4, pp. 188-194, April 1976.
• [14] G. Allen, , "Perturbation effects on filters having multiple poles", Acoustics, Speech, Snd signal Processing, IEEE International Conference on, 1994, ICASSP-94 vol. 6, pp. 589-592,19-22 April 1994
• [15] A. Deczky Equiripple and minimax (Chebyshev) approximations for recursive digital filters , Addison-Wesley, 1989.