2006
DOI: 10.1109/tsa.2005.854089
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Analysis of the filtered-X LMS algorithm and a related new algorithm for active control of multitonal noise

Abstract: In the presence of tonal noise generated by periodic noise source like rotating machines, the filtered-X LMS (FXLMS) algorithm is used for active control of such noises. However, the algorithm is derived under the assumption of slow adaptation limit and the exact analysis of the algorithm is restricted to the case of one real sinusoid in the literature. In this paper, for the general case of arbitrary number of sources, the characteristic polynomial of the equivalent linear system describing the FXLMS algorith… Show more

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Cited by 42 publications
(24 citation statements)
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“…Despite of the exact efficient implementations, the number of multiplications is still large compared with FxLMS. Meanwhile, we are aware of that, due to the delay of secondary path in the context of ANC, we always assume that the weight changes little in the intervals of the secondary path length, which is a reasonable assumption for sufficiently small step-size [1,[23][24][25]. Thus it is possible to utilize this regular assumption to further reduce the complexity of MFxAPSA-EEI.…”
Section: The Proposed Nfxapsamentioning
confidence: 99%
“…Despite of the exact efficient implementations, the number of multiplications is still large compared with FxLMS. Meanwhile, we are aware of that, due to the delay of secondary path in the context of ANC, we always assume that the weight changes little in the intervals of the secondary path length, which is a reasonable assumption for sufficiently small step-size [1,[23][24][25]. Thus it is possible to utilize this regular assumption to further reduce the complexity of MFxAPSA-EEI.…”
Section: The Proposed Nfxapsamentioning
confidence: 99%
“…It should be noted that the adaptation methods presented here for the implementation of ANC q and ANC ν are based on simple FXLMS for the sake of simplicity and quick experimentation. For the tonal active noise control part ANC q , the analysis and methods described in [9][10][11][12] can be incorporated. The proposed method can also be extended to accommodate multiple reference microphones in which case the reduced reference signal set procedure developed in [19] can lessen the controller dimension and computational complexity.…”
Section: Generation Of Antinoisementioning
confidence: 99%
“…The idea of using a parallel bank of control filters, each handling a subset of the sinusoids is presented and analyzed. The more general case of active noise control of nonharmonically related sinusiods is analysed in a novel manner in [10] by employing a characteristic equation derived from an equivalent state-space model. A faster converging version of the FXLMS algorithm is also derived.…”
Section: Introductionmentioning
confidence: 99%
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“…In another work [27] of designing ANC headset, filtered-x least means square algorithm (FXLMS), which introduces secondary path for synthesizing the reference signal, was implemented. One of the study [28] based on FXLMS analysed the algorithm and extended the new algorithm to reduce the multi-tonal noise. Similar work was developed in [29] and evaluated with narrowband and broadband noise against the instability in convergence of adaptation algorithm.…”
mentioning
confidence: 99%