Adaptive even mirror Fourier filtered error LMS algorithm for multichannel nonlinear active noise control

In this paper, the multichannel even mirror Fourier nonlinear (EMFN) filter based filtered-x least mean square (FFLMS) algorithm and filtered-error least mean square (FFELMS) algorithm are proposed for nonlinear active noise control (NANC) applications. The FFLMS algorithm is extended from a single-channel NANC system to a multi-channel NANC system, and the efficient filtered-error structure with the EMFN filter is explored in the developed FFELMS algorithm to reduce the computational complexity without sacrificing its control performance. The computational complexity analyses in comparison with the second-order Volterra filtered-x LMS (VFXLMS), first-order filtered-s LMS (FSLMS) and second-order Legendre filtered-x LMS (LFXLMS) algorithms are provided. The performance of the both FFLMS and FFELMS algorithms are validated through computer simulations. The computer simulations demonstrate that the developed multichannel FFLMS and FFELMS algorithms not only outperform the VFXLMS, FSLMS and LFXLMS algorithms in terms of the noise control performance but also converge faster than the second-order VFXLMS and the second-order LFXLMS algorithms.

[1]  Kunal Kumar Das,et al.  Legendre Neural Network for nonlinear Active Noise Cancellation with nonlinear secondary path , 2011, 2011 International Conference on Multimedia, Signal Processing and Communication Technologies.

[2]  Dayong Zhou,et al.  Efficient adaptive Volterra filters for active nonlinear noise control with a linear secondary-path , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[3]  Xiaojun Qiu,et al.  A recursive least square algorithm for active control of mixed noise , 2015 .

[4]  Jean Jiang,et al.  Filtered-X second-order Volterra adaptive algorithms , 1997 .

[5]  Sen M. Kuo,et al.  Active Noise Control Systems: Algorithms and DSP Implementations , 1996 .

[6]  Ganapati Panda,et al.  Active mitigation of nonlinear noise Processes using a novel filtered-s LMS algorithm , 2004, IEEE Transactions on Speech and Audio Processing.

[7]  Paulo Alexandre Crisóstomo Lopes,et al.  The behavior of the modified FX-LMS algorithm with secondary path modeling errors , 2004, IEEE Signal Processing Letters.

[8]  Dong Chen,et al.  Multichannel active control of nonlinear noise processes using diagonal structure bilinear FXLMS algorithm , 2015, International Conference on Machine Vision.

[9]  Li Tan,et al.  Adaptive second-order Volterra filtered-X RLS algorithms with sequential and partial updates for nonlinear active noise control , 2009, 2009 4th IEEE Conference on Industrial Electronics and Applications.

[10]  Sen M. Kuo,et al.  Nonlinear adaptive bilinear filters for active noise control systems , 2005, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  Paul Strauch,et al.  Active control of nonlinear noise processes in a linear duct , 1998, IEEE Trans. Signal Process..

[12]  Giovanni L. Sicuranza,et al.  Perfect periodic sequences for even mirror Fourier nonlinear filters , 2014, Signal Process..

[13]  Aurobinda Routray,et al.  Filtered-s LMS algorithm for multichannel active control of nonlinear noise processes , 2006, IEEE Transactions on Audio, Speech, and Language Processing.

[14]  Dayong Zhou,et al.  Hybrid filtered error LMS algorithm: another alternative to filtered-x LMS , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[15]  Hideaki Sakai,et al.  Performance comparison between the filtered-error LMS and the filtered-X LMS algorithms [ANC] , 2001, ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196).

[16]  Haiquan Zhao,et al.  Adaptive Volterra filter with continuous lp-norm using a logarithmic cost for nonlinear active noise control , 2016 .

[17]  Nithin V. George,et al.  Partial update even mirror fourier non-linear filters for active noise control , 2015, 2015 23rd European Signal Processing Conference (EUSIPCO).

[18]  Alberto Carini,et al.  Fourier nonlinear filters , 2014, Signal Process..

[19]  Dayong Zhou,et al.  Efficient Adaptive Nonlinear Filters for Nonlinear Active Noise Control , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Giovanni L. Sicuranza,et al.  Perfect periodic sequences for identification of even mirror fourier nonlinear filters , 2014, 2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[21]  Badong Chen,et al.  Improved functional link artificial neural network via convex combination for nonlinear active noise control , 2016, Appl. Soft Comput..

[22]  Li Tan,et al.  On implementation of adaptive bilinear filters for nonlinear active noise control , 2016 .

[23]  Li Tan,et al.  Adaptive Volterra filters for active control of nonlinear noise processes , 2001, IEEE Trans. Signal Process..