The Differentiation by a Wavelet and Its Application to the Estimation of a Transfer Function
Summary :
This paper deals with a set of differential operators for calculating the differentials of an observed signal by the Daubechies wavelet and its application for the estimation of the transfer function of a linear system by using non-stationary step-like signals. The differential operators are constructed by iterative projections of the differential of the scaling function for a multiresolution analysis into a dilation subspace. By the proposed differential operators we can extract the arbitrary order differentials of a signal. We propose a set of identifiable filters constructed by the sum of multiple filters with the first order lag characteristics. Using the above differentials and the identifiable filters we propose an identification method for the transfer function of a linear system. In order to ensure the appropriateness and effectiveness of the proposed method some numerical simulations are presented.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.6 pp.1194-1200
- Publication Date
- 1998/06/25
- Publicized
- Online ISSN
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- Type of Manuscript
- Category
- Digital Signal Processing
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Yasuo TACHIBANA, "The Differentiation by a Wavelet and Its Application to the Estimation of a Transfer Function" in IEICE TRANSACTIONS on Fundamentals,
vol. E81-A, no. 6, pp. 1194-1200, June 1998, doi: .
Abstract: This paper deals with a set of differential operators for calculating the differentials of an observed signal by the Daubechies wavelet and its application for the estimation of the transfer function of a linear system by using non-stationary step-like signals. The differential operators are constructed by iterative projections of the differential of the scaling function for a multiresolution analysis into a dilation subspace. By the proposed differential operators we can extract the arbitrary order differentials of a signal. We propose a set of identifiable filters constructed by the sum of multiple filters with the first order lag characteristics. Using the above differentials and the identifiable filters we propose an identification method for the transfer function of a linear system. In order to ensure the appropriateness and effectiveness of the proposed method some numerical simulations are presented.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_6_1194/_p
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@ARTICLE{e81-a_6_1194,
author={Yasuo TACHIBANA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The Differentiation by a Wavelet and Its Application to the Estimation of a Transfer Function},
year={1998},
volume={E81-A},
number={6},
pages={1194-1200},
abstract={This paper deals with a set of differential operators for calculating the differentials of an observed signal by the Daubechies wavelet and its application for the estimation of the transfer function of a linear system by using non-stationary step-like signals. The differential operators are constructed by iterative projections of the differential of the scaling function for a multiresolution analysis into a dilation subspace. By the proposed differential operators we can extract the arbitrary order differentials of a signal. We propose a set of identifiable filters constructed by the sum of multiple filters with the first order lag characteristics. Using the above differentials and the identifiable filters we propose an identification method for the transfer function of a linear system. In order to ensure the appropriateness and effectiveness of the proposed method some numerical simulations are presented.},
keywords={},
doi={},
ISSN={},
month={June},}
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TY - JOUR
TI - The Differentiation by a Wavelet and Its Application to the Estimation of a Transfer Function
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1194
EP - 1200
AU - Yasuo TACHIBANA
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1998
AB - This paper deals with a set of differential operators for calculating the differentials of an observed signal by the Daubechies wavelet and its application for the estimation of the transfer function of a linear system by using non-stationary step-like signals. The differential operators are constructed by iterative projections of the differential of the scaling function for a multiresolution analysis into a dilation subspace. By the proposed differential operators we can extract the arbitrary order differentials of a signal. We propose a set of identifiable filters constructed by the sum of multiple filters with the first order lag characteristics. Using the above differentials and the identifiable filters we propose an identification method for the transfer function of a linear system. In order to ensure the appropriateness and effectiveness of the proposed method some numerical simulations are presented.
ER -
English
