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 선형 이산시간 상태공간 시스템에 대한 계수 양자화 오류 측정 방법을 제안합니다. 제안된 상태공간 시스템의 측정값은 계수 편차로 인한 출력 오차 분산의 정확한 평가에서 파생되므로 실제 출력 오차 분산과 일치합니다. 본 논문의 측정값은 시스템의 제어 가능성과 관측 가능성 그래미안, 상태 공분산 행렬로 표현됩니다. 계수 변동의 분산이 매우 작은 경우 제안된 측정은 상태공간 시스템의 기존 통계 민감도와 동일합니다. 본 논문에서는 또한 최소 측정 구조를 합성하는 방법을 제안한다. 수치적 예는 제안된 척도가 실제 출력 오차 분산과 매우 잘 일치하고, 최소 척도 구조가 계수 양자화로 인해 주파수 특성이 매우 적게 저하됨을 보여줍니다.
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부
Shumon SAITO, Masayuki KAWAMATA, "A Measure of Coefficient Quantization Errors for Linear Discrete-Time State-Space Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 8, pp. 1815-1821, August 2001, doi: .
Abstract: This paper proposes a measure of coefficient quantization errors for linear discrete-time state-space systems. The proposed measure of state-space systems agrees with the actual output error variance since it is derived from the exact evaluation of the output error variance due to coefficient deviation. The measure in this paper is represented by the controllability and the observability gramians and the state covariance matrix of the system. When the variance of coefficient variations is very small, the proposed measure is identical to the conventional statistical sensitivity of state-space systems. This paper also proposes a method of synthesizing minimum measure structures. Numerical examples show that the proposed measure is in very good agreement with the actual output error variance, and that minimum measure structures have a very small degradation of the frequency characteristic due to coefficient quantization.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_8_1815/_p
부
@ARTICLE{e84-a_8_1815,
author={Shumon SAITO, Masayuki KAWAMATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Measure of Coefficient Quantization Errors for Linear Discrete-Time State-Space Systems},
year={2001},
volume={E84-A},
number={8},
pages={1815-1821},
abstract={This paper proposes a measure of coefficient quantization errors for linear discrete-time state-space systems. The proposed measure of state-space systems agrees with the actual output error variance since it is derived from the exact evaluation of the output error variance due to coefficient deviation. The measure in this paper is represented by the controllability and the observability gramians and the state covariance matrix of the system. When the variance of coefficient variations is very small, the proposed measure is identical to the conventional statistical sensitivity of state-space systems. This paper also proposes a method of synthesizing minimum measure structures. Numerical examples show that the proposed measure is in very good agreement with the actual output error variance, and that minimum measure structures have a very small degradation of the frequency characteristic due to coefficient quantization.},
keywords={},
doi={},
ISSN={},
month={August},}
부
TY - JOUR
TI - A Measure of Coefficient Quantization Errors for Linear Discrete-Time State-Space Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1815
EP - 1821
AU - Shumon SAITO
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 measure of coefficient quantization errors for linear discrete-time state-space systems. The proposed measure of state-space systems agrees with the actual output error variance since it is derived from the exact evaluation of the output error variance due to coefficient deviation. The measure in this paper is represented by the controllability and the observability gramians and the state covariance matrix of the system. When the variance of coefficient variations is very small, the proposed measure is identical to the conventional statistical sensitivity of state-space systems. This paper also proposes a method of synthesizing minimum measure structures. Numerical examples show that the proposed measure is in very good agreement with the actual output error variance, and that minimum measure structures have a very small degradation of the frequency characteristic due to coefficient quantization.
ER -