Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments

Robert Stewart; Stephan Weiss; D. Crawford

Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments

Robert Stewart, Stephan Weiss, D. Crawford

Electronic And Electrical Engineering

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Abstract

This paper discusses the convergence and tracking behaviour of LMS-type algorithms in a certain type of environment, which is characterisded by a Doppler shift in frequency between the two signals available to the algorithm and rapid variations in signal power. We show the linear time-varying characteristics of the underlying system and derive optimum trajectories to which we can compare the adaptation and tracking ability of first order LMS and NLMS adaptive filters. We also present simulations using higher filter orders and real world noise, for which particular emphasis is put on the presence of observation noise. An excursion into the theory of non-stationary convergence and tracking of adaptive algorithms provides justification for the observed behaviour of the algorithms.

Original language	English
Title of host publication	Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics
Number of pages	8
Publication status	Published - Sep 1996
Event	Third International Symposium on Methods and Models in Automation and Robotics - Miedzyzdroje, Poland Duration: 10 Sep 1996 → 13 Sep 1996

Conference

Conference	Third International Symposium on Methods and Models in Automation and Robotics
Country/Territory	Poland
City	Miedzyzdroje
Period	10/09/96 → 13/09/96

Keywords

adaptive filtering
adaptive noise cancellation techniques
active noise cancellation

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Stewart96aAccepted author manuscript, 156 KB

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title = "Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments",

abstract = "This paper discusses the convergence and tracking behaviour of LMS-type algorithms in a certain type of environment, which is characterisded by a Doppler shift in frequency between the two signals available to the algorithm and rapid variations in signal power. We show the linear time-varying characteristics of the underlying system and derive optimum trajectories to which we can compare the adaptation and tracking ability of first order LMS and NLMS adaptive filters. We also present simulations using higher filter orders and real world noise, for which particular emphasis is put on the presence of observation noise. An excursion into the theory of non-stationary convergence and tracking of adaptive algorithms provides justification for the observed behaviour of the algorithms.",

keywords = "adaptive filtering, adaptive noise cancellation techniques , active noise cancellation",

author = "Robert Stewart and Stephan Weiss and D. Crawford",

year = "1996",

month = sep,

language = "English",

isbn = "838635917X",

booktitle = "Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics",

note = "Third International Symposium on Methods and Models in Automation and Robotics ; Conference date: 10-09-1996 Through 13-09-1996",

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T1 - Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments

AU - Stewart, Robert

AU - Weiss, Stephan

AU - Crawford, D.

PY - 1996/9

Y1 - 1996/9

N2 - This paper discusses the convergence and tracking behaviour of LMS-type algorithms in a certain type of environment, which is characterisded by a Doppler shift in frequency between the two signals available to the algorithm and rapid variations in signal power. We show the linear time-varying characteristics of the underlying system and derive optimum trajectories to which we can compare the adaptation and tracking ability of first order LMS and NLMS adaptive filters. We also present simulations using higher filter orders and real world noise, for which particular emphasis is put on the presence of observation noise. An excursion into the theory of non-stationary convergence and tracking of adaptive algorithms provides justification for the observed behaviour of the algorithms.

AB - This paper discusses the convergence and tracking behaviour of LMS-type algorithms in a certain type of environment, which is characterisded by a Doppler shift in frequency between the two signals available to the algorithm and rapid variations in signal power. We show the linear time-varying characteristics of the underlying system and derive optimum trajectories to which we can compare the adaptation and tracking ability of first order LMS and NLMS adaptive filters. We also present simulations using higher filter orders and real world noise, for which particular emphasis is put on the presence of observation noise. An excursion into the theory of non-stationary convergence and tracking of adaptive algorithms provides justification for the observed behaviour of the algorithms.

KW - adaptive filtering

KW - adaptive noise cancellation techniques

KW - active noise cancellation

UR - http://www.bookfinder.com/author/s-domek/

M3 - Conference contribution book

SN - 838635917X

BT - Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics

T2 - Third International Symposium on Methods and Models in Automation and Robotics

Y2 - 10 September 1996 through 13 September 1996

ER -

Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments

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Keywords

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