The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
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A Design Method for Third-Band FIR Filters of Equi-Ripple Passband

균일 리플 통과대역 응답을 갖는 1/3 밴드 FIR 필터의 설계

  • Published : 2005.09.01
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Abstract

In FIR (Finite Impulse Response) filter applications, Nth-band FIR digital filters are known to be important due to their reduced computational requirements. The conventional methods for designing FIR filters use iterative approaches such as the well-known Parks-Mcclellan algorithm. the Parks-Mcclellan algorithm is also used to design Nth-band FIR digital filters. But a disadvantage of the Parks-McClellan algorithm Is that it needs a good amount of design time. This paper describes a direct design method for third-band FIR Filters using Chebyshev polynomial, which provide a reduction in design time over indirect methods such as the Parks-McClellan algorithm. The response of the resulting filter is equi-ripple in passband. The proposed method of design produces a passband response that is equi-ripple to within a minuscule error, compare to that of the Parks-McClellan algorithm.

Keywords

References

  1. Y. C. Jenq, 'On FIR digital filter implementations for interpolation', IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 29, Issue 2, pp. 315-317, Apr. 1981 https://doi.org/10.1109/TASSP.1981.1163550
  2. P. P. Vaidyanathan and Truong Nguyen, 'A 'trick' for the design of FIR half-band filters', IEEE Transactions on Circuits and Systems, vol. 34, Issue 3, pp. 297-300, Mar. 1987 https://doi.org/10.1109/TCS.1987.1086124
  3. S. Oraintara, T. Q. Nguyen, 'A simple mapping between Mth-band FIR filters using cosine modulation', IEEE Signal Processing Letters, vol. 10, Issue 5, pp.125-128, May. 2003 https://doi.org/10.1109/LSP.2003.810021
  4. Y. Wisutmethangoon, T. Q. Nguyen, 'A method for design of Mth-band filters', IEEE Transactions on Signal Processing, vol. 47, Issue 6, pp. 1669-1678, June. 1999 https://doi.org/10.1109/78.765138
  5. P. Chevillat, G. Ungerboeck, G. 'Optimum FIR Transmitter and Receiver Filters for Data Transmission Over Band-Limited Channels', IEEE Transactions on Communications, vol. 30, Issue 8, pp. 1909-1915, Aug. 1982 https://doi.org/10.1109/TCOM.1982.1095661
  6. F. Mintzer, 'On half-band, third-band, and Nth-band FIR filters and their design', IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 30, Issue 5, pp. 734-738, Oct. 1982 https://doi.org/10.1109/TASSP.1982.1163950
  7. J, M. Nohrden and T. Q. Nguyen, 'Constraints on the cutoff frequencies of Mth-band linear-phase FIR filters', IEEE Transactions on Signal Processing, vol. 43, Issue 10, pp.2401-2405, Oct. 1995 https://doi.org/10.1109/78.469850
  8. R. E. Crochiere and L. R. Rabiner, 'Multirate Digital Signal Processing', Englewood Cliffs, NJ: Prentice-Hall, 1983
  9. J. H. McClellan, T. W. Parks, and L. R. Rabiner, 'A computer program for designing optimum FIR linear phase digital filters', IEEE Transactions on Audio and Electroacoustics, vol. 21, Issue 6, pp. 506-526, Dec. 1973 https://doi.org/10.1109/TAU.1973.1162525
  10. M. Vlcek, P. Zahradnik, R. Unbehauen, 'Analytical design of FIR filters', IEEE Transactions on Signal Processing, vol. 48, Issue 9, pp. 2705-2709, Sept. 2000 https://doi.org/10.1109/78.863090
  11. A. N. Willson and H. J. Orchard, 'A design method for half-band FIR filters', IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, vol. 46, Issue 1, pp.95-101, Jan. 1999 https://doi.org/10.1109/81.739257
  12. W. H. Press et al., Numerical Recipes. Cambridge, U.K.: Cambridge, Univ. Press, 1986, pp. 148-149