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

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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.
LanguageEnglish
Title of host publicationProceedings of the Third International Symposium on Methods and Models in Automation and Robotics
Number of pages8
Publication statusPublished - Sep 1996
EventThird International Symposium on Methods and Models in Automation and Robotics - Miedzyzdroje, Poland
Duration: 10 Sep 199613 Sep 1996

Conference

ConferenceThird International Symposium on Methods and Models in Automation and Robotics
CountryPoland
CityMiedzyzdroje
Period10/09/9613/09/96

Fingerprint

Acoustic variables control
Doppler effect
Adaptive filters
Adaptive algorithms
Trajectories

Keywords

  • adaptive filtering
  • adaptive noise cancellation techniques
  • active noise cancellation

Cite this

Stewart, R., Weiss, S., & Crawford, D. (1996). Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments. In Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics
Stewart, Robert ; Weiss, Stephan ; Crawford, D. / Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments. Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics. 1996.
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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 = "9",
language = "English",
isbn = "838635917X",
booktitle = "Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics",

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Stewart, R, Weiss, S & Crawford, D 1996, Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments. in Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics. Third International Symposium on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 10/09/96.

Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments. / Stewart, Robert; Weiss, Stephan; Crawford, D.

Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics. 1996.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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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.

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Stewart R, Weiss S, Crawford D. Convergence behaviour of LMS-type algorithms for adaptive noise control in noisy Doppler environments. In Proceedings of the Third International Symposium on Methods and Models in Automation and Robotics. 1996