Almost-sure convergence of the non-homogeneous dnlms algorithm with decreasing step size

Sang Sik Ahn; Peter J. Voltz

doi:10.1109/ICASSP.1994.390005

Almost-sure convergence of the non-homogeneous dnlms algorithm with decreasing step size

Sang Sik Ahn, Peter J. Voltz

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

In several practical applications of the LMS algorithm, including certain VLSI implementations, the coefficient adaptation can be performed only after some fixed delay. The resulting algorithm is known as the delayed LMS (DLMS) algorithm in the literature. In this paper we consider a normalized version of this algorithm with a decreasing step size, μ(n), and discuss the almost sure convergence of the non-homogeneous algorithm, assuming a mixing input condition and the satisfaction of a certain law of large numbers.

Original language	English (US)
Article number	390005
Pages (from-to)	III401-III404
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	3
DOIs	https://doi.org/10.1109/ICASSP.1994.390005
State	Published - 1994
Event	Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) - Adelaide, Aust Duration: Apr 19 1994 → Apr 22 1994

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

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10.1109/ICASSP.1994.390005

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title = "Almost-sure convergence of the non-homogeneous dnlms algorithm with decreasing step size",

abstract = "In several practical applications of the LMS algorithm, including certain VLSI implementations, the coefficient adaptation can be performed only after some fixed delay. The resulting algorithm is known as the delayed LMS (DLMS) algorithm in the literature. In this paper we consider a normalized version of this algorithm with a decreasing step size, μ(n), and discuss the almost sure convergence of the non-homogeneous algorithm, assuming a mixing input condition and the satisfaction of a certain law of large numbers.",

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year = "1994",

doi = "10.1109/ICASSP.1994.390005",

language = "English (US)",

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journal = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

issn = "1520-6149",

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note = "Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6) ; Conference date: 19-04-1994 Through 22-04-1994",

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AU - Ahn, Sang Sik

AU - Voltz, Peter J.

PY - 1994

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N2 - In several practical applications of the LMS algorithm, including certain VLSI implementations, the coefficient adaptation can be performed only after some fixed delay. The resulting algorithm is known as the delayed LMS (DLMS) algorithm in the literature. In this paper we consider a normalized version of this algorithm with a decreasing step size, μ(n), and discuss the almost sure convergence of the non-homogeneous algorithm, assuming a mixing input condition and the satisfaction of a certain law of large numbers.

AB - In several practical applications of the LMS algorithm, including certain VLSI implementations, the coefficient adaptation can be performed only after some fixed delay. The resulting algorithm is known as the delayed LMS (DLMS) algorithm in the literature. In this paper we consider a normalized version of this algorithm with a decreasing step size, μ(n), and discuss the almost sure convergence of the non-homogeneous algorithm, assuming a mixing input condition and the satisfaction of a certain law of large numbers.

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JO - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

JF - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

M1 - 390005

T2 - Proceedings of the 1994 IEEE International Conference on Acoustics, Speech and Signal Processing. Part 2 (of 6)

Y2 - 19 April 1994 through 22 April 1994

ER -

Almost-sure convergence of the non-homogeneous dnlms algorithm with decreasing step size

Abstract

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