Performance Analysis of the Normalized LMS Algorithm for Complex-Domain Adaptive Filters in the Presence of Impulse Noise at Filter Input

Shin'ichi KOIKE

doi:10.1093/ietfec/e89-a.9.2422

Performance Analysis of the Normalized LMS Algorithm for Complex-Domain Adaptive Filters in the Presence of Impulse Noise at Filter Input

Shin'ichi KOIKE

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This letter develops theoretical analysis of the normalized LMS algorithm (NLMSA) for use in complex-domain adaptive filters in the presence of impulse noise at filter input. We propose a new "stochastic" model for such impulse noise, and assume that filter reference input process is a white process, e.g., digital QAM data, White & Gaussian process, etc. In the analysis, we derive a simple difference equation for mean square tap weight misalignment (MSTWM). Experiment is carried out to demonstrate effectiveness of the NLMSA in robust filtering in the presence of the impulse noise at the filter input. Good agreement between simulated and theoretically calculated filter convergence, in a transient phase as well as in a steady-state, proves the validity of the analysis.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.9 pp.2422-2428

Publication Date: 2006/09/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.9.2422

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Shin'ichi KOIKE, "Performance Analysis of the Normalized LMS Algorithm for Complex-Domain Adaptive Filters in the Presence of Impulse Noise at Filter Input" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 9, pp. 2422-2428, September 2006, doi: 10.1093/ietfec/e89-a.9.2422.
Abstract: This letter develops theoretical analysis of the normalized LMS algorithm (NLMSA) for use in complex-domain adaptive filters in the presence of impulse noise at filter input. We propose a new "stochastic" model for such impulse noise, and assume that filter reference input process is a white process, e.g., digital QAM data, White & Gaussian process, etc. In the analysis, we derive a simple difference equation for mean square tap weight misalignment (MSTWM). Experiment is carried out to demonstrate effectiveness of the NLMSA in robust filtering in the presence of the impulse noise at the filter input. Good agreement between simulated and theoretically calculated filter convergence, in a transient phase as well as in a steady-state, proves the validity of the analysis.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.9.2422/_p

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@ARTICLE{e89-a_9_2422,
author={Shin'ichi KOIKE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Performance Analysis of the Normalized LMS Algorithm for Complex-Domain Adaptive Filters in the Presence of Impulse Noise at Filter Input},
year={2006},
volume={E89-A},
number={9},
pages={2422-2428},
abstract={This letter develops theoretical analysis of the normalized LMS algorithm (NLMSA) for use in complex-domain adaptive filters in the presence of impulse noise at filter input. We propose a new "stochastic" model for such impulse noise, and assume that filter reference input process is a white process, e.g., digital QAM data, White & Gaussian process, etc. In the analysis, we derive a simple difference equation for mean square tap weight misalignment (MSTWM). Experiment is carried out to demonstrate effectiveness of the NLMSA in robust filtering in the presence of the impulse noise at the filter input. Good agreement between simulated and theoretically calculated filter convergence, in a transient phase as well as in a steady-state, proves the validity of the analysis.},
keywords={},
doi={10.1093/ietfec/e89-a.9.2422},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Performance Analysis of the Normalized LMS Algorithm for Complex-Domain Adaptive Filters in the Presence of Impulse Noise at Filter Input
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2422
EP - 2428
AU - Shin'ichi KOIKE
PY - 2006
DO - 10.1093/ietfec/e89-a.9.2422
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2006
AB - This letter develops theoretical analysis of the normalized LMS algorithm (NLMSA) for use in complex-domain adaptive filters in the presence of impulse noise at filter input. We propose a new "stochastic" model for such impulse noise, and assume that filter reference input process is a white process, e.g., digital QAM data, White & Gaussian process, etc. In the analysis, we derive a simple difference equation for mean square tap weight misalignment (MSTWM). Experiment is carried out to demonstrate effectiveness of the NLMSA in robust filtering in the presence of the impulse noise at the filter input. Good agreement between simulated and theoretically calculated filter convergence, in a transient phase as well as in a steady-state, proves the validity of the analysis.
ER -