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This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.9 pp.1900-1910

- Publication Date
- 1999/09/25

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Digital Signal Processing

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Yasuo TACHIBANA, Yoshinori SUZUKI, "Parameters and System Order Estimation Using Differential Filters and Resultant" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 9, pp. 1900-1910, September 1999, doi: .

Abstract: This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_9_1900/_p

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@ARTICLE{e82-a_9_1900,

author={Yasuo TACHIBANA, Yoshinori SUZUKI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Parameters and System Order Estimation Using Differential Filters and Resultant},

year={1999},

volume={E82-A},

number={9},

pages={1900-1910},

abstract={This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.},

keywords={},

doi={},

ISSN={},

month={September},}

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TY - JOUR

TI - Parameters and System Order Estimation Using Differential Filters and Resultant

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1900

EP - 1910

AU - Yasuo TACHIBANA

AU - Yoshinori SUZUKI

PY - 1999

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E82-A

IS - 9

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - September 1999

AB - This paper deals with a method of estimating the parameters and the order of a linear system using differential digital filters and the resultant. From the observed signals of the input and output of an objective system, we extract the differential signals from the zero order to an appropriate high order with the same phase characteristics, using several digital filters. On the assumption that the system order is known, we estimate the parameters of the transfer function and evaluate the estimation error bounds. We propose a criterion function generated by the product of the highest order coefficients and the resultant of the numerator and denominator of the estimated transfer function. Applying this criterion function, we can estimate the order of the objective system. The threshold corresponding to this criterion function is evaluated from the deviation in the frequency characteristics of the used differential filters and the error bound of the estimated parameters. In order to demonstrate the propriety of the proposed method, some numerical simulations are presented.

ER -