DOI QR코드

DOI QR Code

A Study on the ripple cancellation using two cascading Chebyshev filters

Cascading Chebyshev filter를 이용한 리플 제거에 관한 연구

  • 신승식 (동양미래대학교 전기시스템과)
  • Received : 2012.09.07
  • Accepted : 2012.10.29
  • Published : 2012.11.01

Abstract

This study is focusing on ripple elimination in the band pass filter. There are generally two design methods in IIR filter design, which are a direct method and an indirect one. The indirect design method that designs the digital IIR LPF using the prototype analog LPF is applied to this study. A Butterworth filter and a Chebyshev filter are the typical prototype analog LPFs. This study shows characteristics of the digital IIR LPFs that are transformed from the prototype analog LPFs. The designed Butterworth and Chebyshev IIR LPFs are also designed as the band pass filters by frequency transformation in order to compare with the proposed cascading Chebyshev BPFs. This study shows frequency characteristics between the transformed IIR BPFs and the proposed cascading Chebyshev BPFs as well. The proposed cascading Chebyshev BPF is designed by cascading the different orders of Chebyshev BPFs. The aspect of the cascading filter is offsetting the ripples to descend them while the pass band ripples of the Chebyshev filter are ascending and vice versa. The designed cascading Chebyshev filter shows the flatness and the sharpness, which represent the advantages of Butterworth filter in the pass band and of Chebyshev filter in the transition band respectively. This result verifies the validity of the designed filter.

Keywords

References

  1. Ivan W. Selesnick and C. Sidney Burrus, "Generalized Digital Butterworth Filter Design," IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 46, NO. 6, JUNE 1998
  2. David Bsiez-Lcipez and Victor Jimknez-Fernindez, "Modified Chebyshev Filter Design," IEEE, pp.642-646, 2000
  3. Rong Ye, Qing-Zin Chu, "Extraction of Finite Transmission Zero of General Chebyshev Filter," IEEE International Conference on Microwave and Millimeter Wave Technology Proceedings, pp.272-274, 2004 4th.
  4. Yiping Fan, "Method and system for passband ripple cancellation in cascading filters," Unite States Patent application publication, 2006
  5. John G. Proakis, Dimitris. G, Manolakis, Digital Signal Processing, Prentice Hall Inc., 2006.
  6. Phillips/Nagle, Digital control system analysis and design, Prentice-Hall, 1995.
  7. Vinay K, INGLE, John G. Proakis, Digital Signal Processing using MATLAB 2/E, Thomson, 2007.
  8. Lynn Paul A., Fuerst W, Introductory Digital Signal Processing 2/E, Wiley, 2008.
  9. 방인대 외 3인, "통과대역 평탄도를 개선한 4단 저잡음 능동대역통과 여파기 설계", 대한전기학회 논문지 제 6권, pp.590-589, 2004.6
  10. 강두병, 신승식, "리플저감을 위한 Chebyshev 필터 조합에 관한 연구", 대한전기학회 논문지, 제 61권 제 1호, pp.168-172, 2012.1

Cited by

  1. A Study on the Performance of the Stable Cascading BPF vol.62, pp.12, 2013, https://doi.org/10.5370/KIEE.2013.62.12.1758