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Steady-State Properties of a CORDIC-Based Adaptive ARMA Lattice Filter

Shin'ichi SHIRAISHI,Miki HASEYAMA,Hideo KITAJIMA

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This paper analyzes the steady-state properties of a CORDIC-based adaptive ARMA lattice filter. In our previous study, the convergence properties of the filter in the non-steady state were clarified; however, its behavior in the steady state was not discussed. Therefore, we develop a distinct analysis technique based on a Markov chain in order to investigate the steady-state properties of the filter. By using the proposed technique, the relationship between step size and coefficient estimation error is revealed.

Publication: IEICE TRANSACTIONS on FundamentalsVol.E89-A No.12 pp.3724-3729

Publication Date: 2006/12/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.12.3724

Type of Manuscript: LETTER

Category: Digital Signal Processing

Authors

Shin'ichi SHIRAISHI
Miki HASEYAMA
Hideo KITAJIMA

Keyword

steady-state properties, adaptive lattice filter, ARMA lattice filter, CORDIC

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Shin'ichi SHIRAISHI, Miki HASEYAMA, Hideo KITAJIMA, "Steady-State Properties of a CORDIC-Based Adaptive ARMA Lattice Filter" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 12, pp. 3724-3729, December 2006, doi:10.1093/ietfec/e89-a.12.3724.
Abstract:This paper analyzes the steady-state properties of a CORDIC-based adaptive ARMA lattice filter. In our previous study, the convergence properties of the filter in the non-steady state were clarified; however, its behavior in the steady state was not discussed. Therefore, we develop a distinct analysis technique based on a Markov chain in order to investigate the steady-state properties of the filter. By using the proposed technique, the relationship between step size and coefficient estimation error is revealed.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.12.3724/_p

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@ARTICLE{e89-a_12_3724,
author={Shin'ichi SHIRAISHI, Miki HASEYAMA, Hideo KITAJIMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Steady-State Properties of a CORDIC-Based Adaptive ARMA Lattice Filter},
year={2006},
volume={E89-A},
number={12},
pages={3724-3729},
abstract={This paper analyzes the steady-state properties of a CORDIC-based adaptive ARMA lattice filter. In our previous study, the convergence properties of the filter in the non-steady state were clarified; however, its behavior in the steady state was not discussed. Therefore, we develop a distinct analysis technique based on a Markov chain in order to investigate the steady-state properties of the filter. By using the proposed technique, the relationship between step size and coefficient estimation error is revealed.},
keywords={},
doi={10.1093/ietfec/e89-a.12.3724},
ISSN={1745-1337},
month={December},}

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TY - JOUR
TI - Steady-State Properties of a CORDIC-Based Adaptive ARMA Lattice Filter
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3724
EP - 3729
AU - Shin'ichi SHIRAISHI
AU - Miki HASEYAMA
AU - Hideo KITAJIMA
PY - 2006
DO -10.1093/ietfec/e89-a.12.3724
JO - IEICE TRANSACTIONS on Fundamentals
SN -1745-1337
VL - E89-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2006
AB -This paper analyzes the steady-state properties of a CORDIC-based adaptive ARMA lattice filter. In our previous study, the convergence properties of the filter in the non-steady state were clarified; however, its behavior in the steady state was not discussed. Therefore, we develop a distinct analysis technique based on a Markov chain in order to investigate the steady-state properties of the filter. By using the proposed technique, the relationship between step size and coefficient estimation error is revealed.
ER -