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Newton based adaptive algorithms are among the algorithms which are known to exhibit a higher convergence speed in comparison to the least mean square (LMS) algorithms. In this paper we propose a simplified Newton based adaptive algorithm for an adaptive infinite impulse response (IIR) filter implemented using cascades of second order allpass filters and a finite impulse response (FIR) filter. The proposed Newton based algorithm avoids the complexity that may arise in the direct differentiation of the mean square error. The analysis and simulation results presented for the algorithm, show that the property of convergence of the poles of the IIR ADF to those of the unknown system will be maintained for both white and colored input signal. Computer simulation results confirm an increase in convergence speed in comparison to the LMS algorithm.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E82-A No.7 pp.1305-1313

- Publication Date
- 1999/07/25

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Digital Signal Processing

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James OKELLO, Yoshio ITOH, Yutaka FUKUI, Masaki KOBAYASHI, "A Newton Based Adaptive Algorithm for IIR ADF Using Allpass and FIR Filter" in IEICE TRANSACTIONS on Fundamentals,
vol. E82-A, no. 7, pp. 1305-1313, July 1999, doi: .

Abstract: Newton based adaptive algorithms are among the algorithms which are known to exhibit a higher convergence speed in comparison to the least mean square (LMS) algorithms. In this paper we propose a simplified Newton based adaptive algorithm for an adaptive infinite impulse response (IIR) filter implemented using cascades of second order allpass filters and a finite impulse response (FIR) filter. The proposed Newton based algorithm avoids the complexity that may arise in the direct differentiation of the mean square error. The analysis and simulation results presented for the algorithm, show that the property of convergence of the poles of the IIR ADF to those of the unknown system will be maintained for both white and colored input signal. Computer simulation results confirm an increase in convergence speed in comparison to the LMS algorithm.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e82-a_7_1305/_p

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@ARTICLE{e82-a_7_1305,

author={James OKELLO, Yoshio ITOH, Yutaka FUKUI, Masaki KOBAYASHI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={A Newton Based Adaptive Algorithm for IIR ADF Using Allpass and FIR Filter},

year={1999},

volume={E82-A},

number={7},

pages={1305-1313},

abstract={Newton based adaptive algorithms are among the algorithms which are known to exhibit a higher convergence speed in comparison to the least mean square (LMS) algorithms. In this paper we propose a simplified Newton based adaptive algorithm for an adaptive infinite impulse response (IIR) filter implemented using cascades of second order allpass filters and a finite impulse response (FIR) filter. The proposed Newton based algorithm avoids the complexity that may arise in the direct differentiation of the mean square error. The analysis and simulation results presented for the algorithm, show that the property of convergence of the poles of the IIR ADF to those of the unknown system will be maintained for both white and colored input signal. Computer simulation results confirm an increase in convergence speed in comparison to the LMS algorithm.},

keywords={},

doi={},

ISSN={},

month={July},}

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TY - JOUR

TI - A Newton Based Adaptive Algorithm for IIR ADF Using Allpass and FIR Filter

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 1305

EP - 1313

AU - James OKELLO

AU - Yoshio ITOH

AU - Yutaka FUKUI

AU - Masaki KOBAYASHI

PY - 1999

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E82-A

IS - 7

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - July 1999

AB - Newton based adaptive algorithms are among the algorithms which are known to exhibit a higher convergence speed in comparison to the least mean square (LMS) algorithms. In this paper we propose a simplified Newton based adaptive algorithm for an adaptive infinite impulse response (IIR) filter implemented using cascades of second order allpass filters and a finite impulse response (FIR) filter. The proposed Newton based algorithm avoids the complexity that may arise in the direct differentiation of the mean square error. The analysis and simulation results presented for the algorithm, show that the property of convergence of the poles of the IIR ADF to those of the unknown system will be maintained for both white and colored input signal. Computer simulation results confirm an increase in convergence speed in comparison to the LMS algorithm.

ER -