A Design Method of Linear Phase FIR filters with MAXFLAT and MAXSHCUT frequency characteristics

MAXFLAT와 MAXSHCUT 주파수 특성을 갖는 선형 위상 FIR 필터 설계

  • Jeon, Joon-Hyeon (Dept. of Information and Communication Engineering, Dongguk University)
  • 전준현 (동국대학교 정보산업대학 정보통신학과)
  • Published : 2007.05.25

Abstract

In general, the earlier methods for the design of MAXFLAT FIR filters have existent problems due to the approximation algorithms used to approach MAXFLAT(maximally flat) response in the passband and the stopband.. The proposed approach advanced by using of MAXSHCUT(maximally sharp cutoff) condition in this paper clearly overcomes these problems. In this approach, we use a key parameter represented with filter-order and cutoff-frequency parameters for obtaining the lowpass filters with the MAXFLAT and MAXSHCUT characteristics in the frequency domain. Consequently, this design technique leads to new MAXFLAT and MAXSHCUT FIR digital filter, which can achieve sharp-cutoff responses with the stopband attenuation exceeding 100 dB almost everywhere.

일반적으로 기존의 MAXFLAT FIR 필터의 직접 설계 방법들은 통과대역과 저지대역에서 MAXFLAT 응답에 도달하기 위해 추정 알고리즘들을 사용해야 하는 문제들이 반드시 존재한다. 본 논문에서는 MAXSHCUT 조건을 바탕으로 한 향상된 제안된 방식을 사용하였으며, 기존의 문제들을 해결하였다. 제안된 방식에서는 MAXFLAT 와 MAXSHCUT을 갖는 FIR 저역통과 필터가 임의의 차단주파수에서 설계되도록 필터 차수와 차단주파수 파라메터들로 표현된 핵심 파라메터를 사용 하였다. 결론적으로 제안된 설계 기술은 MAXFLAT 와 MAXSHCUT을 갖는 FIR 저역통과 필터 실현이 가능하며, 설계된 필터들은 모두 100dB 가 넘는 MAXSHCUT을 갖는 것을 알 수가 있다.

Keywords

References

  1. Joonhyeon Jeon and Jaekyoon Kim, 'New linear phase QMF filter design for sub-band coding,' Electronics letters, Vol.27, No.4, pp.319-320, 1991 https://doi.org/10.1049/el:19910201
  2. T. W. Parks, and J. H. McClellan, 'Chebyshev approximation for nonrecursive digital filters with linear phase,' IEEE Trans Circuit Theory, Vol.19, No.2, pp.189-194.1972 https://doi.org/10.1109/TCT.1972.1083419
  3. O. Hemnann. 'On the approximation problem in nonrecursive digital filter design.' IEEE Trans Circuit Theory Vol.18, pp.411-413. 1971 https://doi.org/10.1109/TCT.1971.1083275
  4. S. Samadi, A. Nishihara and H. Iwakura. 'Universal maximally flat low-pass FIR systems,' IEEE Trans. Signal Processing Vol.21, pp.1956-1964, 2000 https://doi.org/10.1109/78.847782
  5. Yukio MORI and Naoyuki AlKAWA. 'A closed form transfer function of low delay bandpass FIR filters with maximally flat characteristics in the passband and the transmission zeros in the stopband.' ICICS-PCM 2006, pp.1884-1888, 2003 https://doi.org/10.1109/ICICS.2003.1292794
  6. A. Ogata, N. Aikawa and M. Sato. 'A design method of low delay bandpass filters.' BEE Proc. 2000 ISCAS'OO, Geneva, Switzerland, 2000 https://doi.org/10.1109/ISCAS.2000.857034
  7. 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 Vol.1, pp.I-405 -08, 2002 https://doi.org/10.1109/ISCAS.2002.1009863