A New Technique for the General and Simple Design of MAXFLAT FIR filters

MAXFLAT FIR 필터의 일반적이고 간편한 설계를 위한 새로운 기술

  • 전준현 (동국대학교 서울캠퍼스 공과대학 컴퓨터정보통신공학부 정보통신공학)
  • Received : 2010.01.27
  • Accepted : 2010.04.02
  • Published : 2010.04.30

Abstract

In this paper, a general and explicit technique is presented for determining the filter coefficients of maximally flat (MAXFLAT) FIR filter with the magnitude response exactly passing through a prescribed cutoff point. This technique is based on a general formula (i.e. impulse response) with an arbitrary cutoff point and permits direct computation of the coefficients of this filter type with a specified cutoff point. The technique provides an explicit method for choosing the order of flatness of the filter with the specified cutoff point. Also, in the paper, it is shown to give a computationally efficient and accurate solution to the design of the filters with the desired cutoff point.

본 논문에서는 요구되어진 차단주파수를 갖는 MAXFLAT FIR필터 설계를 위하여 일반적이고 뚜렷한 방식을 제안하였다. 제안된 기술은 요구된 차단주파수를 갖는 필터계수를 계산에 의해 직접 구할 수 있는 임의의 차단주파수를 갖는 임펄스응답의 일반 공식과 필터의 평탄 차수를 결정하기 위하여 논리적으로도 분명한 공식을 제공한다. 또한 실험 결과 제안된 기술이 요구된 차단주파수를 갖는 MAXFLAT(maximally flat) FIR 필터 설계에 있어서 계산적으로 효율적이고 정확한 방식이라는 것이 입증되었다.

Keywords

References

  1. J. L. Sullivan and J. W. Adams, "A new nonlinear optimization algorithm for asymmetric FIR digital filters," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), 2, pp.541-544, 1994.
  2. I. W. Selesnick and C. Sidney Bums, "Maximally flat low-pass FIR filters with reduced delay," IEEE Trans. Circuits and Systems II 45, pp.53-68, 1998. https://doi.org/10.1109/82.659456
  3. N. Aikawa and M. Sato. "A design method of low delay lowpass FIR digital filters with maximally flat characteristics in the passband and the transition zero in the stopband," ISCAS'02, 1, pp.I-405-08, 2002.
  4. O. Hemnann. "On the approximation problem in nonrecursive digital filter design." IEEE Trans Circuit Theory 18 pp.411-413. 1971.
  5. J.A. Miller, " Maximally flat nonrecursive digital filters," Electron. Lett. Vol.8, pp.157-158, Mar., 1972. https://doi.org/10.1049/el:19720115
  6. P. Thajchayapong, M. Puangpool and S. Banjongjit, "Maximally flat f.i.r filters with prescribed cut-off frequency," Electron. Lett. Vol.16, pp.514-515, June, 1980. https://doi.org/10.1049/el:19800359
  7. L. R. Rajagopal and S. C. Dutta Roy, " Design of Maximally-flat FIR filters using the bernstain Poynomial," IEEE Trans.on circuits and system, Vol.cas-34, No.12, pp.1587-1590, Dec., 1987.
  8. 전준현, "MAXFLAT와 MAXSHCUT 주파수특성을 갖는 선형위상 FIR 필터 설계", 대한전자공학회논문지, SP.44, No.3, pp.370-377, May, 2007.
  9. 전준현, "제로위상을 갖는 광대역저역통과 MAXFLAT FIR 필터설계를 위한 새로운 폐쇄형전달함수" 한국통신학회논문지, Vol.32, No.7, pp.658-666, August, 2007.
  10. L.S. Gradshteyn and I. M. Ryzhik, " Integrals, Series and Products" Academic Press, 1980.