A COMPARISON OF THE GENERALIZED FOURIER SERIES AND FUNCTIONAL LINKS ARTIFICIAL NEURAL NETWORKS FOR NONLINEAR ACTIVE NOISE CONTROL SYSTEM | Công | TNU Journal of Science and Technology

A COMPARISON OF THE GENERALIZED FOURIER SERIES AND FUNCTIONAL LINKS ARTIFICIAL NEURAL NETWORKS FOR NONLINEAR ACTIVE NOISE CONTROL SYSTEM

About this article

Received: 24/10/22                Revised: 19/12/22                Published: 21/12/22

Authors

Le Dinh Cong Email to author, School of Engineering and Technology, Vinh University

Abstract


The behavior of nonlinearity in the active noise control (ANC) system is not the same. Therefore, in order to increase the efficiency of noise reduction, we need to understand the type of nonlinearity in the ANC system and choose the appropriate model. This paper presents a comparison and evaluation between the even mirror Fourier series (EMF) and the functional links artificial neural networks (FLANN) for the nonlinear ANC system. By analyzing the nonlinear influences that exist in the primary path, the secondary path, and the noise source in the active noise control system, various types of nonlinearity, such as memory nonlinearity, memory-less nonlinearity, and chaotic nonlinearity has been discussed. Furthermore, the modeling capabilities of the expansion functions based on the EMF and FLANN for the types of nonlinearities have been analyzed. The causes for such behavior have also been pointed out. Many computational simulations in different nonlinear scenarios have been carried out to demonstrate the analysis and evaluation of ANC systems based on the EMF and FLANN models.

Keywords


Active noise control; Generalized Fourier series; FLANN; Nonlinear distortion; Adaptive algorithm

References


[1] L. Lu, K. L. Yin, R. C. Lamare, Z. Zheng, Y. Yu, X. Yang, and B. Chen, “A survey on active noise control in the past decade-Part I: Linear systems,” Signal Process., vol. 183, 2021, Art. no. 108039.

[2] L. Lu, K. L.Yin, R. C. Lamare, Z. Zheng, Y. Yu, X. Yang, and B. Chen, “A survey on active noise control in the past decade-Part II: Nonlinear systems,” Signal Process., vol. 181, pp. 1-16, 2021.

[3] T. L. Tan and J. Jiang, “Adaptive Volterra filters for active control of nonlinear noise processes,” IEEE Trans. Signal Processing, vol. 49, pp. 1667-1676, 2001.

[4] H. Zhang and D. Wang, “Deep ANC: A deep learning approach to active noise control,” Neural Networks, vol. 141, pp. 1-10, 2022.

[5] M. C. Huynh and C. Y. Chang, “A novel adaptive neural controller for narrowband active noise control systems,” 8th NAFOSTED Conference on Information and Computer Science (NICS), Hanoi, Vietnam, 2021.

[6] D. P. Das and G. Panda, “Active mitigation of nonlinear noise processes using a novel filtered-s LMS algorithm,” IEEE Trans. Audio, Speech, Lang. Process., vol. 12, pp. 313-322, 2004.

[7] A. Carini and G. L. Sicuranza, “Fourier nonlinear filters,” Signal Process, vol. 94, no.1, pp. 183–94, 2014.

[8] G. L. Sicuranza and A. Carini, “A generalized FLANN filter for nonlinear active noise control,” IEEE Transactions on Audio, Speech, and Language Processing, vol. 19, no. 8, pp. 2412–2417, 2011.

[9] D. C Le, J. Zhang, and D. Li, “Hierarchical partial update generalized functional link artificial neural network filter for nonlinear active noise control,” Digit. Signal Process, vol. 93, pp. 160–171, 2019.

[10] X. Guo, J. Jiang, L. Tan, and S. Du, “Improved adaptive recursive even mirror fourier nonlinear filter for nonlinear active noise control,” Appl. Acoust., vol. 12, pp. 10–19, 2019.

[11] D. C. Le, J. S. Zhang, and J. Zhang, “Low-complexity even mirror fourier adaptive filter for nonlinear active noise control,” Appl Acoust., vol. 197, 2022, Art. no. 108914.

[12] D. Zhou and V. DeBrunner, “Efficient adaptive nonlinear filters for nonlinear active noise control,” IEEE Trans. Circuits Syst.–I: Regular., vol. 54, no. 3, pp. 669-681, 2007.




DOI: https://doi.org/10.34238/tnu-jst.6760

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