Journal of the Institute of Electronics Engineers of Korea SP (대한전자공학회논문지SP)

The Institute of Electronics and Information Engineers (대한전자공학회)
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Design of Closed-Form QMF Filters with Maximally Flat and Half-Band Characteristics in the Frequency Domain

주파수 영역에서 최대평탄과 하프대역 특성을 갖는 폐쇄형 QMF 필터들의 설계

  • Jeon, Joon-Hyeon (Dept. of Information and Communication Engineering, Dongguk University)
  • 전준현 (동국대학교 정보산업대학 정보통신학과)
  • Published : 2007.07.25
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Abstract

Two kinds of QMF(Quadrature Mirror Filter) pairs are used in JPEG2000 standard, which don't have QMF distortions. However, the QMF pairs have the main disadvantages such that there are gentle roll-off rate, ripples in the passband and unequal band decomposition. In this paper, Maxflat(maximally flat) QMF pairs with a half-band gain are proposed for overcoming these problems. Maxflat QMF pairs are realized due to generalized closed-form formulas, and the filters have maximally flat response in the passband/stopband as well as sharp roll-off rate in the transition band. Comparing proposed filters and JPEG2000's filters in frequency domain, it is found that proposed filters have better performance JPEG2000's filters. Moreover, Maxflat QMF pairs show stopband-attenuation exceeding 200 dB almost everywhere.

JPEG2000 국제표준에서는 QMF 왜곡을 갖지 않는 2가지 필터 쌍(pare)을 제시하였다. 그러나 사용된 QMF 필터들은 완만한 롤오프율을 갖을 뿐만 아니라 통과대역에서 리플(ripple)이 존재하고 비동등대역분할 구조를 갖는 치명적인 단점이 있다. 따라서 본 논문에서는 최대평탄 및 가파른 롤오프율(roll-off rate) 응답특성을 갖는 일반화된 폐쇠형 공식을 이용하여 하프대역 이득의 최대평탄 QMF 필터들을 제시하였다. 기존의 JPEG2000의 QMF 필터들과 제안된 최대평탄 QMF 필터들의 주파수 응답을 비교한 결과 제안된 QMF 필터들은 통과대역에서 리플이 없고, 개선된 롤오프율(roll-off rate) 및 중첩대역폭을 갖는 것을 확인하였다. 더욱이 제안된 최대 평탄 QMF 필터들은 저지대역 감쇠가 최대 200dB를 초과하는 응답 특성을 나타내었다.

Keywords

References

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