IEICE TRANSACTIONS on Fundamentals
On the Necessity of Estimating the Transfer Level in an Allpass-FIR ADF by the Use of Lyapunov Criteria
Summary :
In this paper we present an analysis based on the indirect Lyapunov criteria, that is used to study the convergence of an infinite impulse response (IIR) adaptive digital filter (ADF) based on estimation of the allpass system. The analysis is then extended to investigate the necessity of directly estimating the transfer level of the unknown system. We consider two cases of modeling the ADF. In the first system, the allpass section of the ADF estimates only the real poles of the unknown system while in the second system, both real and complex poles the allpass section are estimated. From the analysis and computer simulation, we realize that the poles of the ADF converge selectively to the poles of the unknown system, depending on the sign of the step size of adaptation. Using these results we proposed a new method to control the convergence of the poles the IIR ADF based on estimation of the allpass system.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.5 pp.888-894
- Publication Date
- 2000/05/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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James OKELLO, Shin'ichi ARITA, Yoshio ITOH, Yutaka FUKUI, Masaki KOBAYASHI, "On the Necessity of Estimating the Transfer Level in an Allpass-FIR ADF by the Use of Lyapunov Criteria" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 5, pp. 888-894, May 2000, doi: .
Abstract: In this paper we present an analysis based on the indirect Lyapunov criteria, that is used to study the convergence of an infinite impulse response (IIR) adaptive digital filter (ADF) based on estimation of the allpass system. The analysis is then extended to investigate the necessity of directly estimating the transfer level of the unknown system. We consider two cases of modeling the ADF. In the first system, the allpass section of the ADF estimates only the real poles of the unknown system while in the second system, both real and complex poles the allpass section are estimated. From the analysis and computer simulation, we realize that the poles of the ADF converge selectively to the poles of the unknown system, depending on the sign of the step size of adaptation. Using these results we proposed a new method to control the convergence of the poles the IIR ADF based on estimation of the allpass system.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_5_888/_p
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@ARTICLE{e83-a_5_888,
author={James OKELLO, Shin'ichi ARITA, Yoshio ITOH, Yutaka FUKUI, Masaki KOBAYASHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Necessity of Estimating the Transfer Level in an Allpass-FIR ADF by the Use of Lyapunov Criteria},
year={2000},
volume={E83-A},
number={5},
pages={888-894},
abstract={In this paper we present an analysis based on the indirect Lyapunov criteria, that is used to study the convergence of an infinite impulse response (IIR) adaptive digital filter (ADF) based on estimation of the allpass system. The analysis is then extended to investigate the necessity of directly estimating the transfer level of the unknown system. We consider two cases of modeling the ADF. In the first system, the allpass section of the ADF estimates only the real poles of the unknown system while in the second system, both real and complex poles the allpass section are estimated. From the analysis and computer simulation, we realize that the poles of the ADF converge selectively to the poles of the unknown system, depending on the sign of the step size of adaptation. Using these results we proposed a new method to control the convergence of the poles the IIR ADF based on estimation of the allpass system.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - On the Necessity of Estimating the Transfer Level in an Allpass-FIR ADF by the Use of Lyapunov Criteria
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 888
EP - 894
AU - James OKELLO
AU - Shin'ichi ARITA
AU - Yoshio ITOH
AU - Yutaka FUKUI
AU - Masaki KOBAYASHI
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2000
AB - In this paper we present an analysis based on the indirect Lyapunov criteria, that is used to study the convergence of an infinite impulse response (IIR) adaptive digital filter (ADF) based on estimation of the allpass system. The analysis is then extended to investigate the necessity of directly estimating the transfer level of the unknown system. We consider two cases of modeling the ADF. In the first system, the allpass section of the ADF estimates only the real poles of the unknown system while in the second system, both real and complex poles the allpass section are estimated. From the analysis and computer simulation, we realize that the poles of the ADF converge selectively to the poles of the unknown system, depending on the sign of the step size of adaptation. Using these results we proposed a new method to control the convergence of the poles the IIR ADF based on estimation of the allpass system.
ER -
English
