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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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.8 pp.1815-1821

- Publication Date
- 2001/08/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)

- Category
- Digital Filter

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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

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@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},}

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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 -