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In this paper, we analyze the convergence and steady-state behavior of the least mean-square (LMS) adaptive filtering algorithm for a finite-length phase-splitting hybrid-type decision feedback equalizer (H-DFE). With some approximations, we derive an iterative expression for the excess mean-square error (MSE) of the H-DFE, which is composed of three statistically dependent excess MSEs; that is, the excess MSEs of the feedforward filter (FFF), intersymbol interference predictive feedback filter (ISI-FBF), and noise predictive feedback filter (NP-FBF) taps. Computer simulation and analytical results show that the average eigenvalue of the input signal for the NP-FBF taps of the H-DFE is time-varying, whereas those for the FFF and ISI-FBF taps are fixed. Nevertheless, the H-DFE can be implemented with fixed step sizes that ensure the convergence of the LMS algorithm without performance degradation from the standpoint of convergence speed, as well as steady-state performance for digital subscriber line (xDSL) applications.

- Publication
- IEICE TRANSACTIONS on Communications Vol.E85-B No.12 pp.2764-2775

- Publication Date
- 2002/12/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- PAPER

- Category
- Fundamental Theories

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Kyu-Min KANG, Gi-Hong IM, "Convergence and Steady-State Behavior of a Hybrid Decision Feedback Equalizer" in IEICE TRANSACTIONS on Communications,
vol. E85-B, no. 12, pp. 2764-2775, December 2002, doi: .

Abstract: In this paper, we analyze the convergence and steady-state behavior of the least mean-square (LMS) adaptive filtering algorithm for a finite-length phase-splitting hybrid-type decision feedback equalizer (H-DFE). With some approximations, we derive an iterative expression for the excess mean-square error (MSE) of the H-DFE, which is composed of three statistically dependent excess MSEs; that is, the excess MSEs of the feedforward filter (FFF), intersymbol interference predictive feedback filter (ISI-FBF), and noise predictive feedback filter (NP-FBF) taps. Computer simulation and analytical results show that the average eigenvalue of the input signal for the NP-FBF taps of the H-DFE is time-varying, whereas those for the FFF and ISI-FBF taps are fixed. Nevertheless, the H-DFE can be implemented with fixed step sizes that ensure the convergence of the LMS algorithm without performance degradation from the standpoint of convergence speed, as well as steady-state performance for digital subscriber line (xDSL) applications.

URL: https://global.ieice.org/en_transactions/communications/10.1587/e85-b_12_2764/_p

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@ARTICLE{e85-b_12_2764,

author={Kyu-Min KANG, Gi-Hong IM, },

journal={IEICE TRANSACTIONS on Communications},

title={Convergence and Steady-State Behavior of a Hybrid Decision Feedback Equalizer},

year={2002},

volume={E85-B},

number={12},

pages={2764-2775},

abstract={In this paper, we analyze the convergence and steady-state behavior of the least mean-square (LMS) adaptive filtering algorithm for a finite-length phase-splitting hybrid-type decision feedback equalizer (H-DFE). With some approximations, we derive an iterative expression for the excess mean-square error (MSE) of the H-DFE, which is composed of three statistically dependent excess MSEs; that is, the excess MSEs of the feedforward filter (FFF), intersymbol interference predictive feedback filter (ISI-FBF), and noise predictive feedback filter (NP-FBF) taps. Computer simulation and analytical results show that the average eigenvalue of the input signal for the NP-FBF taps of the H-DFE is time-varying, whereas those for the FFF and ISI-FBF taps are fixed. Nevertheless, the H-DFE can be implemented with fixed step sizes that ensure the convergence of the LMS algorithm without performance degradation from the standpoint of convergence speed, as well as steady-state performance for digital subscriber line (xDSL) applications.},

keywords={},

doi={},

ISSN={},

month={December},}

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TY - JOUR

TI - Convergence and Steady-State Behavior of a Hybrid Decision Feedback Equalizer

T2 - IEICE TRANSACTIONS on Communications

SP - 2764

EP - 2775

AU - Kyu-Min KANG

AU - Gi-Hong IM

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Communications

SN -

VL - E85-B

IS - 12

JA - IEICE TRANSACTIONS on Communications

Y1 - December 2002

AB - In this paper, we analyze the convergence and steady-state behavior of the least mean-square (LMS) adaptive filtering algorithm for a finite-length phase-splitting hybrid-type decision feedback equalizer (H-DFE). With some approximations, we derive an iterative expression for the excess mean-square error (MSE) of the H-DFE, which is composed of three statistically dependent excess MSEs; that is, the excess MSEs of the feedforward filter (FFF), intersymbol interference predictive feedback filter (ISI-FBF), and noise predictive feedback filter (NP-FBF) taps. Computer simulation and analytical results show that the average eigenvalue of the input signal for the NP-FBF taps of the H-DFE is time-varying, whereas those for the FFF and ISI-FBF taps are fixed. Nevertheless, the H-DFE can be implemented with fixed step sizes that ensure the convergence of the LMS algorithm without performance degradation from the standpoint of convergence speed, as well as steady-state performance for digital subscriber line (xDSL) applications.

ER -