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

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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 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

Keywords

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

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