Abstract
In this study, to reduce secondary sound source pollution in the reference signal of active noise control (ANC), a novel ANC algorithm, based on signal reconstruction, is proposed for vehicle interior noise. This algorithm combines the processes of ear-sides noise reconstruction and ANC. First, to reduce non-stationarity and nonlinearity, multi-source noise signals outside the vehicle are decomposed into a finite number of intrinsic mode function (IMF) components by empirical mode decomposition (EMD). Second, the IMFs are reconstructed by the energy-extreme division method into three components: high-frequency, intermediate-frequency and low-frequency. The radial basis function neural network (RBFNN) parameters are adjusted by the proportions of the components. Model training is performed to obtain the high-precision EMD–RBFNN reconstruction model (EMD–NNRM). The reconstructed noise signal is used as the reference signal of the variable step-size least mean square (VSS-LMS) algorithm, to control the passenger ear-sides noise. The effectiveness of the EMD–NNRM is validated using four noise signals from the outside of a vehicle. The interior noise of a high-speed vehicle is processed by the proposed algorithm and the traditional VSS-LMS algorithm for comparison. The reconstruction results show that the mean absolute error is improved by 77.64% compared with the back propagation neural network reconstruction model. Reconstructed passenger ear-sides noise can be utilized for ANC. The active control results suggest that the proposed algorithm can not only effectively suppress the interior noise but can also avoid pollution from secondary sound sources.
















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References
M.T. Akhtar, W. Mitsuhashi, A modified normalized FxLMS algorithm for active control of impulsive noise, in 2010 18th European Signal Processing Conference (IEEE, 2010), pp. 1–5
S.K. Behera, D.P. Das, B. Subudhi, Adaptive nonlinear active noise control algorithm for active headrest with moving error microphones. Appl. Acoust. 123, 9–19 (2017)
N.J. Bershada, F. Wen, H.C. So, Comments on ‘‘Fractional LMS algorithm”. Signal Process. 133, 219–226 (2017)
H.A. Bjaili, M. Moinuddin, A.M. Rushdi, A state-space backpropagation algorithm for nonlinear estimation. Circ. Syst. Signal Process. 38, 3682–3696 (2019)
G. Cerrato, Automotive sound quality—powertrain, road and wind noise. Sound Vib. 43(4), 16–24 (2019)
M.Z. Chen, D.H. Zhou, G.P. Liu, A new particle predictor for fault prediction of nonlinear time-varying systems. Asia-Pac. J. Chem. Eng. 13(3–4), 379–388 (2005)
F.Y. Cui, Study of traffic flow prediction based on BP neural network, Intelligent Systems and Applications, in 2010 2nd International Workshop on Intelligent Systems and Applications (ISA) (IEEE, 2010), pp. 1–4
J. CusidÓCusido, L. Romeral, J.A. Ortega, J.A. Rosero, A.G. Espinosa, Fault detection in induction machines using power spectral density in wavelet decomposition. IEEE Trans. Ind. Electron. 55(2), 633–643 (2008)
Y. Da, G. Xiurun, An improved PSO-based ANN with simulated annealing technique. Neurocomputing 63, 527–533 (2005)
D.P. Das, D.J. Moreau, B.S. Cazzolato, Nonlinear active noise control for headrest using virtual microphone control. Control Eng. Pract. 21(4), 544–555 (2013)
J. Duan, M. Li, T.C. Lim, M.R. Lee, Active control of vehicle transient powertrain noise using a twin-FxLMS algorithm. J. Dyn. Syst. Meas. Control 133(3), 034501 (2011)
J. Duan, M. Li, T.C. Lim, M.R. Lee, M.T. Cheng, W. Vanhaaften, T. Abe, Combined feedforward–feedback active control of road noise inside a vehicle cabin. J. Vib. Acoust. 136(4), 041020 (2014)
J. Duan, M. Li, T.C. Lim, M.R. Lee, F. Vanhaaften, M.T. Cheng, T. Abe, Comparative study of frequency domain filtered-x LMS algorithms applied to vehicle powertrain noise control. Int. J. Veh. Noise Vib. 5(1–2), 36–52 (2009)
J. Duan, M. Li, T.C. Lim, M.R. Lee, W. Vanhaaften, M.T. Cheng, T. Abe, Control of powertrain noise using a frequency domain filtered-x LMS algorithm. SAE Technical Paper. 2009-01-2145 (2009)
N.V. George, G. Panda, Advances in active noise control: a survey, with emphasis on recent nonlinear techniques. Signal Process. 93, 363–377 (2013)
H. Guo, Y.S. Wang, N.N. Liu, R.P. Yu, H. Chen, X.T. Liu, Active interior noise control for rail vehicle using a variable step-size median-LMS algorithm. Mech. Syst. Signal Process. 109, 15–26 (2018)
N.E. Huang, Z. Shen, S.R. Long, M.C. Wu, H.H. Shih, Q. Zheng, H.H. Liu, The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series analysis. Proc. R. Soc. Lond. A 454(1971), 903–995 (1998)
B. Huang, Y. Xiao, J. Sun, G. Wei, A variable step-size FXLMS algorithm for narrowband active noise control. IEEE Trans. Audio Speech Lang. Process. 21(2), 301–312 (2013)
W. Jia, T. Zhang, G. Dong, B. Wang, Y. He, Correlation analysis of car exterior and interior noise tests under different yaw angles with beamforming, in 2016 International Forum on Mechanical, Control and Automation(IFMCA 2016) (Atlantis Press, 2017)
J.G. Jiang, Y. Li, Review of active noise control techniques with emphasis on sound quality enhancement. Appl. Acoust. 136, 139–148 (2018)
F. Kara, Data-driven forward-backward pursuit for sparse signal reconstruction. Circ. Syst. Signal Process. 36(6), 2402–2419 (2017)
S. Khan, I. Naseem, M.A. Malik, R. Togneri, M. Bennamoun, A fractional gradient descent-based rbf neural network. Circ. Syst. Signal Process. 37(12), 5311–5332 (2018)
S.M. Kuo, K. Kuo, W.S. Gan, Active noise control: open problems and challenges, in IEEE International Conference on Green Circuits and Systems (2010), pp. 164–169
J.C. Li, D.L. Zhao, B.F. Ge, K.W. Yang, Y.W. Chen, A link prediction method for heterogeneous networks based on BP neural network. Physica A 495, 1–17 (2018)
S. Liang, M. Ma, S. He, H. Zhang, P. Yuan, Coordinated control method to self-equalize bus headways: an analytical method. Transp. B:Transp. Dyn. 7(1), 1175–1202 (2019)
X.J. Ma, Y. Lu, F.J. Wang, Active structural acoustic control of helicopter interior multifrequency noise using input-output-based hybrid control. J. Sound Vib. 405, 187–207 (2017)
M. Marcellino, J.H. Stock, M.W. Watson, A comparison of direct and iterated multistep AR methods for forecasting macroeconomic time series. J. Econom. 135(1), 499–526 (2006)
J. Moody, C.J. Darken, Fast learning in networks of locally-tuned processing units. Neural Comput. 1(2), 281–294 (1989)
F. Ortolani, D. Comminiello, M. Scarpiniti, A. Uncini, Frequency domain quaternion adaptive filters: algorithms and convergence performance. Signal Process. 136, 69–80 (2017)
D. O’Shaughnessy, Recognition and processing of speech signals using neural networks. Circ. Syst. Signal Process. 38(8), 3454–3481 (2019)
P. Song, Y. He, W. Cui, Statistical property feature extraction based on FRFT for fault diagnosis of analog circuits. Analog Integr. Circ. Sig. Process. 87(3), 427–436 (2016)
J. Tang, J. Qiao, Z. Wu, T. Chai, J. Zhang, W. Yu, Vibration and acoustic frequency spectra for industrial process modeling using selective fusion multi-condition samples and multi-source features. Mech. Syst. Signal Process. 99, 142–168 (2018)
K.W. Tang, S. Subhash, Fast classification networks for signal processing. Circ. Syst. Signal Process. 21(2), 207–224 (2002)
N.L. Thai, X. Wu, J. Na, Y. Guo, N.T. Tin, P.X. Le, Adaptive variable step-size neural controller for nonlinear feedback active noise control systems. Appl. Acoust. 116, 337–347 (2017)
M. Van, H.J. Kang, K.S. Shin, Rolling element bearing fault diagnosis based on non-local means de-noising and empirical mode decomposition. IET Sci. Meas. Technol. 8(6), 571–578 (2014)
Y.S. Wang, T.P. Feng, X.L. Wang, H. Guo, H.Z. Qi, An improved LMS algorithm for active sound-quality control of vehicle interior noise based on auditory masking effect. Mech. Syst. Signal Process. 108, 292–303 (2018)
D. Wang, X. Xu, T. Zhang, Y. Zhu, J. Tong, An EMD-MRLS de-noising method for fiber optic gyro Signal. Optik 183, 971–987 (2019)
B. Widrow, M.F. Hoff, Adaptive switching circuits (No. TR-1553-1). Stanford Univ Ca Stanford Electronics Labs. (1960)
B. Widrow, D. Shur, S. Shaffer, On adaptive inverse control, in 15th Asilomar Conference Circuits, Systems, and Components (1981), pp. 185–189
Z. Wu, N.E. Huang, Ensemble empirical mode decomposition: a noise-assisted data analysis method. Adv. Adapt. Data Anal. 1(01), 1–41 (2009)
D. Yang, X. Wang, Y. Wang, H. Guo, N. Liu, W. Li, A multi-source fusion algorithm for high-accuracy signal reconstruction of vehicle interior noise on passenger ear-sides. Appl. Acoust. 148(5), 75–85 (2019)
S. Zhang, Y.S. Wang, H. Guo, C. Yang, X.L. Wang, N.N. Liu, A normalized frequency-domain block filtered-x LMS algorithm for active vehicle interior noise control. Mech. Syst. Signal Process. 120, 150–165 (2019)
J. Zhang, R. Yan, R.X. Gao, Z. Feng, Performance enhancement of ensemble empirical mode decomposition. Mech. Syst. Signal Process. 24(7), 2104–2123 (2010)
Acknowledgements
This work was supported by the Project of National Natural Science Foundation of China (No. 51675324) and partly supported by the Project of Shanghai Automotive Industry Sci-Tech Development Foundation (No. 1523) and the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, China.
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XW Conceptualization, Methodology. TW Data curation, Writing- Original draft preparation. LS Writing- Reviewing and Editing. YW Supervision. DY Testing, Software, Validation. CY Visualization, Investigation. NL Testing, Software, Validation.
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Wang, X., Wang, T., Su, L. et al. Adaptive Active Vehicle Interior Noise Control Algorithm Based on Nonlinear Signal Reconstruction. Circuits Syst Signal Process 39, 5226–5246 (2020). https://doi.org/10.1007/s00034-020-01410-0
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DOI: https://doi.org/10.1007/s00034-020-01410-0