Skip to main content
SpringerLink
Log in

Design of IIR digital notch filters

  • Published:
Circuits, Systems and Signal Processing Aims and scope Submit manuscript

Abstract

A method is presented for the design of notch filters with specified notch frequency Ω0 and 3-dB rejection bandwidthB t, using a first-order real all-pass filter, wherein the only coefficient is used to control the notch frequency. To control the bandwidth, use is made of a new amplitude change function (ACF), and it is shown that given notch filter specifications can be exactly met thereby. Also, using the ACF, it is shown that stability of the second-order notch filter designs can be improved along with the noise gain.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Carney, Design of digital notch filter with tracking requirements,IEEE Trans. Space Electronics Telemetry, SET-9, pp. 109–114, 1963.

    Google Scholar 

  2. T. Classen and W. Mecklenbrauker, Extension of a method for sharpening the response of digital filters based on the amplitude change function,IEEE Trans. Acoust. Speech and Signal Process, vol. ASSP-27, no. 5, pp. 559–560, Oct. 1979.

    Google Scholar 

  3. A. G. Constantinides, Digital notch filters,Electronics Letters, vol. 5, no. 9, pp. 198–199, May 1969.

    Google Scholar 

  4. S. C. Dutta Roy, S. B. Jain, and B. Kumar, Design of digital FIR notch filters,IEE Proc. Vision Image and Signal Processing, vol.141, no. 5, Oct. 1994.

  5. M. H. Er, Designing notch filter with controlled null width,Signal Processing, Elsevier, Amsterdam, vol. 24, pp. 319–329, 1991.

    Google Scholar 

  6. K. Hirano, S. Nishimura, and S. K. Mitra, Design of digital notch filters,IEEE Trans. Communications, vol. COM-22, no. 7, pp. 964–970, July 1975.

    Google Scholar 

  7. J. F. Kaiser and R. W. Hamming, Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter,IEEE Trans. Acoust. Speech Signal Process, vol. ASSP-25, pp. 415–422, Oct. 1977.

    Google Scholar 

  8. J. J. Kormylo and V. K. Jain, Two-pass recursive digital filter with zero phase shift,IEEE Trans. Acoust. Speech Signal Process, vol. ASSP-22, no. 5, pp. 384–387, Oct. 1974.

    Google Scholar 

  9. P. A. Regalia, S. K. Mitra, and P. P. Vaidyanathan, The digital all pass filter: A versatile signal processing building block,Proc. IEEE, vol. 76, no. 1, pp. 19–37, Jan. 1988.

    Google Scholar 

  10. Tian-Hu Yu, S. K. Mitra, and H. Babic, Design of linear phase FIR notch filters,Sadhana, vol. 15, part 3, pp. 133–155, Nov. 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology, 110016, Hauz Khas, New Delhi, India

    Y. V. Joshi & S. C. Dutta Roy

Authors
  1. Y. V. Joshi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. C. Dutta Roy
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Joshi, Y.V., Dutta Roy, S.C. Design of IIR digital notch filters. Circuits Systems and Signal Process 16, 415–427 (1997). https://doi.org/10.1007/BF01198059

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01198059

Keywords

Search

Navigation