Affine Combination of the Filtered-x LMS/F Algorithms for Active Control

Publisher:
Springer
Publication Type:
Conference Proceeding
Citation:
Vibration Engineering for a Sustainable Future: Active and Passive Noise and Vibration Control,, 2021, 1, pp. 313-320
Issue Date:
2021-01-01
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The filtered-x least mean square algorithm is extensively employed for active control, which exhibits a trade-off between convergence speed and the steady-state control performance. In this paper, an affine combination strategy of the filtered-x least mean square and fourth algorithms is proposed, which can be regarded as a generalized convex combination. Unlike the convex combination, the combining parameter in this linear combination is not constrained to lie in a specific interval and plays a vital role in deciding the overall system performance. An adaptation rule is developed for updating the combining parameter. The proposed affine combination strategy is used to control white noise and multitone noise. The simulation results demonstrate that the proposed algorithm provides faster convergence and improved steady-state control performance. Furthermore, the proposed affine combination is also robust with an imperfect secondary path model.
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