Abstract
The filtered-x algorithm is the most popular technology used in active noise control (ANC) system to update the controllers. This paper proposes an adaptive combined normalized filtered-x least mean square (FxNLMS) algorithm and filtered-x affine projection (FxAP) algorithm to balance the convergence speed and noise reduction performance in ANC. The new algorithm requires only single ANC system, which uses a sigmoid function to adaptively combine FxNLMS algorithm and FxAP algorithm, and a coupling factor designed by gradient descent is used to update the filter weights. The simulation experiment results in stationary and nonstationary scenarios demonstrate the better performance of the proposed algorithm as compared with the conventional algorithms.
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References
Kuo, S.M., Morgan, D.R.: Active Noise Control Systems: Algorithms and DSP Im-plementations. Wiley, New York (1996)
Hinamoto, Y., Sakai, H.: A filtered-X LMS algorithm for sinusoidal reference signals—effects of frequency mismatch. IEEE Signal Process. Lett. 14(4), 259–262 (2007)
Kuo, S.M., Mitra, S., Gan, W.S.: Active noise control system for headphone applications. IEEE Trans. Control Syst. Technol. 14(2), 331–335 (2006)
Carmona, J.C., Alvarado, V.M.: Active noise control of a duct using robust control theory. IEEE Trans. Control Syst. Technol. 8(6), 930–938 (2000)
Song, P., Zhao, H.: Filtered-x least mean square/fourth (FXLMS/F) algorithm for active noise control. Mech. Syst. Signal Process. 120, 69–82 (2019)
Guo, J.F., Yang, F.R., Yang, J.: Convergence analysis of the conventional filtered-x affine projection algorithm for active noise control. Signal Process. 170 (2020)
Kim, S.E., Kong, S.J., Song, W.J.: An affine projection algorithm with evolving order. IEEE Signal Process. Lett. 16(11), 937–940 (2009)
Kim, D. W., Lee, M., Park, P.: A robust active noise control system with step size scaler in impulsive noise environments. In: 2019 Chinese Control Conference, pp. 3358–3362 (2019)
ArenasGarcia, J., AzpicuetaRuiz, L.A., Silva, M.T.M., Nascimento, V.H., Sayed, A.H.: Combinations of adaptive filters: performance and convergence properties. IEEE Signal Process. Mag. 33(1), 120–140 (2016)
Choi, J.H., Kim, S.H., Kim, S.W.: Adaptive combination of affine projection and NLMS algorithms”. Signal Process. 100, 64–70 (2014)
Wang, H., Sun, H., Sun, Y., Wu, M., Yang, J.: A narrowband active noise control system with a frequency estimation algorithm based on parallel adaptive notch filter. Signal Process. 154, 108–119 (2019)
Choi, J.H., Kim, S.H., Kim, S.W.: Adaptive combination of affine projection and NLMS algorithms. Signal Process. 100, 64–70 (2014)
Yang, F.R., Guo, J.F., Yang, J.: Stochastic Analysis of the Filtered-x LMS Algorithm for Active Noise Control. IEEE/ACM Trans. Audio Speech Lang. Process. 28, 2252–2266 (2020)
Bouchard, M.: Multichannel affine and fast affine projection algorithms for active noise control and acoustic equalization systems. IEEE Trans. Audio Speech Lang. Process. 11(1), 54–60 (2003)
Huang, F., Zhang, J., Zhang, S.: Combined-step-size affine projection sign algorithm for robust adaptive filtering in impulsive interference environments. IEEE Trans. Circuits Syst. II Express Briefs 63(5), 493–497 (2016)
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Wang, X., Ou, S., Pang, Y. (2022). Adaptive Combination of Filtered-X NLMS and Affine Projection Algorithms for Active Noise Control. In: Fang, L., Povey, D., Zhai, G., Mei, T., Wang, R. (eds) Artificial Intelligence. CICAI 2022. Lecture Notes in Computer Science(), vol 13606. Springer, Cham. https://doi.org/10.1007/978-3-031-20503-3_2
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