1. Combined step size affine-projection-like exponential hyperbolic sine algorithm for robust active noise control.
- Author
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Zhou, Yang, Zhao, Haiquan, Liu, Dongxu, and Zhang, Hongwei
- Subjects
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ACTIVE noise control , *NOISE control , *SINE function , *HYPERBOLIC functions , *COMPUTATIONAL complexity - Abstract
Traditional active noise control (ANC) algorithms suffer from significant performance degradation when dealing with impulsive noise. Although some robust algorithms based on the maximum correntropy criterion (MCC) have been developed to improve the performance, they still have unsatisfactory noise reduction performance due to the steady-state misalignment. Therefore, we propose a filtered-x affine-projection-like exponential hyperbolic sine (FxAPLEHS) algorithm for feedforward ANC systems, inspired by the fast convergence property of the affine-projection-like (APL) algorithm. Here, the optimal step-size parameter of the proposed algorithm is derived mathematically from the a posteriori error via considering the time-varying step-size bound, which aims to enhance the performance of the algorithm in terms of convergence and steady-state misalignment. Moreover, to further improve the overall performance of the FxAPLEHS algorithm, a combined step-size FxAPLEHS (CSS-FxAPLEHS) algorithm is designed, which constructs a step-size mixing parameter using a modified sigmoidal activation function that is indirectly updated with the objective of minimizing the L 1 -norm of the error. The superiority of the proposed algorithms is verified through numerical simulations in symmetric α -stable (S α S) noise and multi-tone noise mixed with S α S noise environments, respectively. In addition, validation simulations based on a real single-channel duct ANC system model further demonstrate the superiority of the proposed algorithms in terms of convergence speed and noise reduction ratio. • The FxAPLEHS algorithm based ANC technique is proposed. • The CSS-FxAPLEHS algorithm to improve noise reduction performance is also proposed. • The computational complexity analysis of the proposed algorithm is carried out. • The proposed algorithms offer enhanced robust ANC performance. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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