A theoretical analysis of the median LMF adaptive algorithm

Tommy Kristensen Bysted, C. Rusu

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    Abstract

    Higher order adaptive algorithms are sensitive to impulse interference. In the case of the LMF (Least Mean Fourth), an easy and effective way to reduce this is to median filter the instantaneous gradient of the LMF algorithm. Although previous published simulations have indicated that this reduces the speed of convergence, no analytical studies have yet been made to prove this. In order to enhance the usability, this paper presents a convergence and steady-state analysis of the median LMF adaptive algorithm. As expected this proves that the median LMF has a slower convergence and a lower steady-state error compared to the LMF.
    Original languageEnglish
    Title of host publicationThe 6th IEEE International Conference on Electronics, Circuits and Systems, 1999. Proceedings of ICECS '99.
    Volume2
    PublisherIEEE
    Publication date1999
    ISBN (Print)0-7803-5682-9
    DOIs
    Publication statusPublished - 1999
    EventThe 6th IEEE International Conference on Electronics, Circuits and Systems -
    Duration: 1 Jan 1999 → …

    Conference

    ConferenceThe 6th IEEE International Conference on Electronics, Circuits and Systems
    Period01/01/1999 → …

    Bibliographical note

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    Cite this

    Bysted, T. K., & Rusu, C. (1999). A theoretical analysis of the median LMF adaptive algorithm. In The 6th IEEE International Conference on Electronics, Circuits and Systems, 1999. Proceedings of ICECS '99. (Vol. 2). IEEE. https://doi.org/10.1109/ICECS.1999.813198