Convergence Analysis of Adaptive Filters Using Normalized Sign-Sign Algorithm

Shin'ichi KOIKE

doi:10.1093/ietfec/e88-a.11.3218

Convergence Analysis of Adaptive Filters Using Normalized Sign-Sign Algorithm

Shin'ichi KOIKE

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This letter develops convergence analysis of normalized sign-sign algorithm (NSSA) for FIR-type adaptive filters, based on an assumption that filter tap weights are Gaussian distributed. We derive a set of difference equations for theoretically calculating transient behavior of filter convergence, when the filter input is a White & Gaussian process. For a colored Gaussian input and a large number of tap weights, approximate difference equations are also proposed. Experiment with simulations and theoretical calculations of filter convergence demonstrates good agreement between simulations and theory, proving the validity of the analysis.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.11 pp.3218-3224

Publication Date: 2005/11/01

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DOI: 10.1093/ietfec/e88-a.11.3218

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Shin'ichi KOIKE, "Convergence Analysis of Adaptive Filters Using Normalized Sign-Sign Algorithm" in IEICE TRANSACTIONS on Fundamentals, vol. E88-A, no. 11, pp. 3218-3224, November 2005, doi: 10.1093/ietfec/e88-a.11.3218.
Abstract: This letter develops convergence analysis of normalized sign-sign algorithm (NSSA) for FIR-type adaptive filters, based on an assumption that filter tap weights are Gaussian distributed. We derive a set of difference equations for theoretically calculating transient behavior of filter convergence, when the filter input is a White & Gaussian process. For a colored Gaussian input and a large number of tap weights, approximate difference equations are also proposed. Experiment with simulations and theoretical calculations of filter convergence demonstrates good agreement between simulations and theory, proving the validity of the analysis.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.11.3218/_p

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@ARTICLE{e88-a_11_3218,
author={Shin'ichi KOIKE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Convergence Analysis of Adaptive Filters Using Normalized Sign-Sign Algorithm},
year={2005},
volume={E88-A},
number={11},
pages={3218-3224},
abstract={This letter develops convergence analysis of normalized sign-sign algorithm (NSSA) for FIR-type adaptive filters, based on an assumption that filter tap weights are Gaussian distributed. We derive a set of difference equations for theoretically calculating transient behavior of filter convergence, when the filter input is a White & Gaussian process. For a colored Gaussian input and a large number of tap weights, approximate difference equations are also proposed. Experiment with simulations and theoretical calculations of filter convergence demonstrates good agreement between simulations and theory, proving the validity of the analysis.},
keywords={},
doi={10.1093/ietfec/e88-a.11.3218},
ISSN={},
month={November},}

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TY - JOUR
TI - Convergence Analysis of Adaptive Filters Using Normalized Sign-Sign Algorithm
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3218
EP - 3224
AU - Shin'ichi KOIKE
PY - 2005
DO - 10.1093/ietfec/e88-a.11.3218
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2005
AB - This letter develops convergence analysis of normalized sign-sign algorithm (NSSA) for FIR-type adaptive filters, based on an assumption that filter tap weights are Gaussian distributed. We derive a set of difference equations for theoretically calculating transient behavior of filter convergence, when the filter input is a White & Gaussian process. For a colored Gaussian input and a large number of tap weights, approximate difference equations are also proposed. Experiment with simulations and theoretical calculations of filter convergence demonstrates good agreement between simulations and theory, proving the validity of the analysis.
ER -