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Erschienen in:

13.01.2024

Insights into the Filtered-x LMS Algorithm in the Presence of Frequency Mismatch

verfasst von: Jian Liu, Huawei Chen

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 5/2024

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Abstract

The performance of a narrowband active noise control (NANC) system can be significantly degraded due to the frequency mismatch (FM). In this paper, the statistical performance of a typical FxLMS-based NANC system in the presence of FM is analyzed in detail. Difference equations governing the system dynamics and closed-form steady-state mean-square error expressions are derived and discussed. The stochastic analysis results reveal that the FM introduces small troublesome sinusoids into the NANC system. The controller has to track these sinusoids to minimize the residual noise, which leads to a serious performance deterioration. As a by-product, the optimal step sizes that minimize the effect of a relatively small FM are also derived. The findings significantly enrich our understanding of the stochastic behavior of the FxLMS algorithm in the presence of FM and also provide some useful information for NANC system design. Extensive simulations are conducted to confirm the validity of the analytical findings.

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Metadaten
Titel
Insights into the Filtered-x LMS Algorithm in the Presence of Frequency Mismatch
verfasst von
Jian Liu
Huawei Chen
Publikationsdatum
13.01.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 5/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-023-02578-x