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Estimation of filter order for prescribed, reduced group delay FIR filter design

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
FIR filters are often applied, as they possess many advantages, including linear-phase response and well elaborated design methods. However, group delay introduced by FIR filters is usually large. The reduction of group delay can be obtained by restriction of the linear phase requirement only to the passband. One of the problems that appear while designing FIR filters with a prescribed value of group delay is the choice of the filter order. In the paper a formula for filter order calculation for the given filter parameters and dedicated for equiripple or quasi-equiripple approximation of the magnitude response has been derived based on experiments. Numerous examples that explain how to use the derived formula have been included.
Rocznik
Strony
209–--216
Opis fizyczny
Bibliogr. 25, wykr., tab.
Twórcy
autor
  • Faculty of Automatic Control, Electronics and Computer Sciences, Silesian University of Technology, 16 Akademicka St., 44-100 Gliwice, Poland
  • Faculty of Automatic Control, Electronics and Computer Sciences, Silesian University of Technology, 16 Akademicka St., 44-100 Gliwice, Poland
Bibliografia
  • [1] G. Apaydin, “Realization of reduced-delay finite impulse response filters for audio applications”, Digital Signal Processing 20 (3), 620-629 (2010).
  • [2] T. Stathaki and I. Fotinopoulos, “Equiripple minimum phase FIR filter design from linear phase systems using root moments”, IEEE Trans. on Circuits and Systems II - Analog and Digital Signal Processing 48 (6), 580-587 (2001).
  • [3] G. Calvagno, G.M. Cortelazzo, and G.A. Mian, “A technique for multiple criterion approximation of FIR filters in magnitude and group delay”, IEEE Trans. on Signal Processing 43 (2), 393-400 (1995).
  • [4] V. Vondra, F. Wajer, J. Hal´amek, and D. van Ormondt, “Influence of digital audio filters on image reconstruction in MRI”, Magn. Reson. Mater. Biol. Phys. Med. 6, 70-76 (1998).
  • [5] M.R. Bai, Y. Lin, and J. Lai, “Reduction of electronic delay in active noise control systems - a multirate signal processing approach”, Electronic 111, 916-924 (2002).
  • [6] C. Wu, D. Gao, and K.L. Teo, “A direct optimization method for low group delay FIR filter design”, Signal Processing 93 (7), 1764-1772 (2013).
  • [7] X.P. Lai, “Optimal design of nonlinear-phase FIR filters with prescribed phase error”, IEEE Trans. Signal Process. 57 (9), 3399-3410 (2009).
  • [8] O. Herrmann, L.R. Rabiner, and D.S.K. Chan, “Practical design rules for optimum finite impulse response low-pass digital filters”, Bell Syst. Tech. J. 52 (6), 769-799 (1973).
  • [9] L.R. Rabiner, “Approximate design relationships for low-pass FIR digital filters”, IEEE Trans. Audio Electroacoust. 21, 456-460 (1973).
  • [10] J.F. Kaiser, “Nonrecursive digital filter design using I0-sinh window function”, Proc. IEEE Int. Symp. Circuits and Systems 1, 20-23 (1974).
  • [11] K. Ichige, M. Iwaki, and R. Ishii, “Accurate estimation of minimum filter length for optimum FIR digital filters”, IEEE Trans. Circuits Syst. II, 47 (10) 1008-1016 (2000).
  • [12] H. Brandenstein and R. Unbehauen, “Weighted least-squares approximation of FIR by IIR digital filters”, IEEE Trans. Signal Process. 49 (3), 558-568 (2001).
  • [13] S. Holford and P. Agathoklis, “The use of model reduction techniques for designing IIR filters with linear phase in the passband”, IEEE Trans. Signal Processing 44 (10), 2396-2404 (1996).
  • [14] Y. Liu and Z. Lin, “Optimal design of frequency-response masking filters with reduced group delays”, IEEE Trans. on Circuits and Systems I - Regular Papers 55 (6), 1560-1570 (2008).
  • [15] L. Svensson and H. Johansson, “Frequency-response masking FIR filters with short delay”, Proc. IEEE Int. Symp. Circuits Syst. III, 233-236 (2002).
  • [16] B.C. Garai, P. Das, and A.K. Mishra, “Group delay reduction in FIR digital filters”, Signal Processing 91 (8), 1812-1825 (2011).
  • [17] A. Antoniou, Digital Filters: Analysis, Design and Applications, McGraw-Hill, London, 1993.
  • [18] S.K. Mitra and J.F. Kaiser, Handbook for Digital Signal Processing, John Wiley & Sons, New York, 1993.
  • [19] L.R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing, Prentice Hall Inter, London, 1975.
  • [20] C.B. Rorabaugh, Digital Filter Designers Handbook, McGraw- Hill, London, 1993.
  • [21] X.P. Lai and Z.P. Lin, “Minimax design of IIR digital filters using a sequential constrained least-squares method”, IEEE Trans. Signal Processing 58 (7), 3901-3906 (2010).
  • [22] L.J. Karam and J.H. McClellan, “Complex Chebyshev approximation for FIR filter design”, IEEE Trans. on Circuits and Systems II 42 (3), 207-216 (1995).
  • [23] J. Konopacki and K. Mościńska, “A procedure for quasiequiripple linear-phase IIR filters design”, Int. J. Electronics and Telecommunications 56 (4), 393-398 (2010).
  • [24] Analog Devices, AD7722 16-bit, 195kSPS CMOS, Sigma- Delta ADC, Technical Specification, 2003.
  • [25] A.V. Oppenheim and R.W. Schafer, Discrete-Time Signal Processing, Prentice-Hall, New Jersey, 1989.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a64afa26-6278-40a4-aa72-3c65a1c236b5
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