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Convergence Behaviour of LMS-Type Algorithms for Adaptive Noise Control in Noisy Doppler Environments (862kB)

Convergence Behaviour of LMS-Type Algorithms for Adaptive Noise Control in Noisy Doppler Environments (862kB)
Convergence Behaviour of LMS-Type Algorithms for Adaptive Noise Control in Noisy Doppler Environments (862kB)
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.
Stewart, R W
c819965d-70b4-4689-8206-e6e444dcbf8e
Weiss, S
a1716781-351d-41d2-8d67-3e3d34f16476
Crawford, D H
f17e4330-3b43-4fc5-a120-cd37a30a1efc
Stewart, R W
c819965d-70b4-4689-8206-e6e444dcbf8e
Weiss, S
a1716781-351d-41d2-8d67-3e3d34f16476
Crawford, D H
f17e4330-3b43-4fc5-a120-cd37a30a1efc

Stewart, R W, Weiss, S and Crawford, D H (1996) Convergence Behaviour of LMS-Type Algorithms for Adaptive Noise Control in Noisy Doppler Environments (862kB). Third International Symposium on Methods and Models in Automation and Robotics.

Record type: Conference or Workshop Item (Other)

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.

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More information

Published date: September 1996
Additional Information: Invited Paper Address: Szczecin, Poland
Venue - Dates: Third International Symposium on Methods and Models in Automation and Robotics, 1996-09-01
Organisations: Electronics & Computer Science

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Local EPrints ID: 251906
URI: https://eprints.soton.ac.uk/id/eprint/251906
PURE UUID: f9704751-04c5-4557-905a-760916c5879c

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Date deposited: 08 Nov 2000
Last modified: 18 Jul 2017 10:08

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