The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 디지털 필터의 균형 구현과 최소 반올림 잡음 구현을 기반으로 하는 가변 IIR 디지털 필터의 설계 방법을 제안합니다. 제안된 방법을 통해 매우 정확한 가변 디지털 필터를 쉽게 도출할 수 있다. XNUMX차 디지털 필터의 두 구현에 대한 계수 행렬은 프로토타입 구현에서 직접 얻습니다. 가변 디지털 필터의 필터 계수는 구현에 대한 주파수 변환을 통해 얻을 수 있습니다. 필터 계수는 계수를 조정하기 위한 계산 횟수를 줄이기 위한 목적으로 잘린 테일러 계열로 표시됩니다. 그러나 제안된 필터는 균형 잡힌 구현과 최소 반올림 잡음 구현이 주파수 변환 하에서 불변하는 매우 낮은 계수 감도를 갖기 때문에 계수 잘림에 대해 매우 정확한 가변 특성을 갖습니다. 또한 제안된 필터의 동적 범위는 주파수 변환에 대해 거의 일정합니다. 제안된 방법으로 설계된 가변 디지털 필터의 효율성을 수치적 예를 통해 보여준다.
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부
Hisashi MATSUKAWA, Masayuki KAWAMATA, "Design of Variable Digital Filters Based on State-Space Realizations" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 8, pp. 1822-1830, August 2001, doi: .
Abstract: This paper proposes a design method of variable IIR digital filters based on balanced realizations and minimum round-off noise realizations of digital filters. Highly accurate variable digital filters are easily derived by the proposed method. The coefficient matrices of both realizations of second-order digital filters are obtained directly from prototype realizations. The filter coefficients of variable digital filters can be obtained by frequency transformations to the realizations. The filter coefficients are presented as truncated Taylor series for the purpose of reducing a number of calculations to tune the coefficients. However the proposed filters have highly accurate variable characteristics against the coefficient truncation since balanced realizations and minimum round-off noise realizations have very low coefficient sensitivities, which are invariant under the frequency transformations. Moreover, the dynamic ranges of the proposed filters are almost constant against the frequency transformations. Numerical examples show the effectiveness of the variable digital filters designed by the proposed method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_8_1822/_p
부
@ARTICLE{e84-a_8_1822,
author={Hisashi MATSUKAWA, Masayuki KAWAMATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design of Variable Digital Filters Based on State-Space Realizations},
year={2001},
volume={E84-A},
number={8},
pages={1822-1830},
abstract={This paper proposes a design method of variable IIR digital filters based on balanced realizations and minimum round-off noise realizations of digital filters. Highly accurate variable digital filters are easily derived by the proposed method. The coefficient matrices of both realizations of second-order digital filters are obtained directly from prototype realizations. The filter coefficients of variable digital filters can be obtained by frequency transformations to the realizations. The filter coefficients are presented as truncated Taylor series for the purpose of reducing a number of calculations to tune the coefficients. However the proposed filters have highly accurate variable characteristics against the coefficient truncation since balanced realizations and minimum round-off noise realizations have very low coefficient sensitivities, which are invariant under the frequency transformations. Moreover, the dynamic ranges of the proposed filters are almost constant against the frequency transformations. Numerical examples show the effectiveness of the variable digital filters designed by the proposed method.},
keywords={},
doi={},
ISSN={},
month={August},}
부
TY - JOUR
TI - Design of Variable Digital Filters Based on State-Space Realizations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1822
EP - 1830
AU - Hisashi MATSUKAWA
AU - Masayuki KAWAMATA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2001
AB - This paper proposes a design method of variable IIR digital filters based on balanced realizations and minimum round-off noise realizations of digital filters. Highly accurate variable digital filters are easily derived by the proposed method. The coefficient matrices of both realizations of second-order digital filters are obtained directly from prototype realizations. The filter coefficients of variable digital filters can be obtained by frequency transformations to the realizations. The filter coefficients are presented as truncated Taylor series for the purpose of reducing a number of calculations to tune the coefficients. However the proposed filters have highly accurate variable characteristics against the coefficient truncation since balanced realizations and minimum round-off noise realizations have very low coefficient sensitivities, which are invariant under the frequency transformations. Moreover, the dynamic ranges of the proposed filters are almost constant against the frequency transformations. Numerical examples show the effectiveness of the variable digital filters designed by the proposed method.
ER -