Advertisement

IIR Digital Filter Synthesis Based on Bilinear Transformation of Analog Prototypes

  • Vančo LitovskiEmail author
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 596)

Abstract

Digital signal processing means dealing with discretized signals expressed as numbers in a form convenient for electronic implementation of the mathematical operations. Digital filtering is its important part.

References

  1. 1.
    Antoniou A (1983) Digital filters: analysis and design. McGraw-Hill Inc, New YorkzbMATHGoogle Scholar
  2. 2.
    Litwin L (2000) FIR and IIR digital filters. The effects of finite bit precision. IEEE Potentials 19(4):28–31CrossRefGoogle Scholar
  3. 3.
    Quélhas MF, Petraglia A, Petraglia MR (2004) Efficient group delay equalization of discrete-time IIR filters. In: Proceedings of the XII European signal processing conference, EUSIPCO-2004, Vienna, Austria, vol 1, pp 125–128Google Scholar
  4. 4.
    Mollowa GS, Unbehauen R (1998) Design of recursive filters with constant group delay and chebyshev stopband attenuation. In: Proceedings No. 3 of the IEEE international conference on acoustics, speech and signal processing, ICASSP ‘98, Seattle, WA, Art. No. 681673, pp 1257–1260Google Scholar
  5. 5.
    Mirković D, Litovski IV, Litovski VB (2015) On the synthesis and realization of selective linear phase IIR filters. In: Proceedings of 2nd international conference on electrical, electronic and computing engineering, IcETRAN 2015, Silver Lake, Serbia, ELI1.3.1-6Google Scholar
  6. 6.
    Rabey J (2009) Low power design essentials. Springer Science+Business Media, LLC, New YorkCrossRefGoogle Scholar
  7. 7.
    Mirković D, Petković P, Litovski V (2014) A second order s-to-z transform and its implementation to IIR filter design. COMPEL Int J Comput Math Electr Electron Eng 33(5):1831–1843CrossRefGoogle Scholar
  8. 8.
    Kaiser JF (1996) Digital filters. In: Kuo FF, Kaiser JF (eds) (1996) System analysis by digital computer. Wiley, New YorkGoogle Scholar
  9. 9.
    Hongyan C, Lisheng W (2012) Software and hardware implementation of IIR based on Matlab&Acceldsp. In: Proceedings of the 2nd international conference on computer application and system modeling. Atlantis Press, Paris, France, pp 1411–1415Google Scholar
  10. 10.
    Nelatury SR (2007) Additional correction to the impulse invariance method for the design of IIR digital filters. Digit Signal Proc 17(2):530–540CrossRefGoogle Scholar
  11. 11.
    Németh JG, Kollár I. (2000) Step-invariant transform from z- to s-domain, A general framework. In: Proceedings of the 17th IEEE instrumentation and measurement technology conference, IMTC/2000, Baltimore, MD, vol 2, pp 902–907Google Scholar
  12. 12.
    Paarmann LD (1998) Mapping from the s-domain to the z-domain via magnitude-invariance method. Sig Process 69(3):219–228CrossRefGoogle Scholar
  13. 13.
    Paarmann LD (2006) Mapping from the s-domain to the z-domain via phase-invariance method. Sig Process 86(2):223–229CrossRefGoogle Scholar
  14. 14.
    Shi R, Wang S, Zhao J (2012) An unsplit complex-frequency-shifted PML based on matched z-transform for FDTD modelling of seismic wave equations. J Geophys Eng 9(2):218–229CrossRefGoogle Scholar
  15. 15.
    Park W, Park KS, Koh HM (2008) Active control of large structures using a bilinear pole-shifting transform with H control method. Eng Struct 30(11):3336–3344MathSciNetCrossRefGoogle Scholar
  16. 16.
    Krantz SG (1999) Rouché’s theorem, §5.3.1 in “Handbook of Complex Variables”. Birkhäuser Publication Co., Boston, MA, p 74CrossRefGoogle Scholar
  17. 17.
  18. 18.

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Elektronski FakultetNišSerbia

Personalised recommendations