The effect of transfer function estimation errors on the filtered-x LMS algorithm

The filtered-x LMS algorithm, which is commonly implemented in active noise and vibration control systems, requires an estimate of the cancellation path transfer function to maintain algorithm stability. This correspondence considers the effect of errors in this estimate on the stability of the algo...

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 42; no. 4; pp. 950 - 953
Main Authors Snyder, S.D., Hansen, C.H.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.04.1994
Institute of Electrical and Electronics Engineers
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ISSN1053-587X
DOI10.1109/78.285659

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Summary:The filtered-x LMS algorithm, which is commonly implemented in active noise and vibration control systems, requires an estimate of the cancellation path transfer function to maintain algorithm stability. This correspondence considers the effect of errors in this estimate on the stability of the algorithm implemented in the time domain, concluding that while a maximum phase error of /spl plusmn/90/spl deg/ is a bound for stability, there is no simple relationship between error and stability within this region.< >
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ISSN:1053-587X
DOI:10.1109/78.285659