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Additional resources for Noise Control, Reduction and Cancellation Solutions in Engineering
The tap-weights w a (n ) of the fractional Fourier domain adaptive ﬁlter are updated iteratively by (13) wa (n + 1) = wa (n ) + μxa,p (n )e∗ (n ). The FrFT parameter a should be estimated and kept updated during the adaptation process. 12 by LMS and NLMS algorithms without introducing the secondary path effects S(z). 12(a) shows the chirp-type primary noise in time domain. This signal is transformed to a sinusoidal signal by taking FrFT at the appropriate order. Then, adaptation procedure is employed.
15] W. S. Gan, Q. Z. Zhang, and Y. Zhou, “Adaptive recurrent fuzzy neural networks for active noise control,” Journal of Sound and Vibration, vol. 296, (2006), 935-948. Adaptive Fractional Fourier Filtering in Active Noise Control Adaptive Fractional Fourier Domain Filtering in Domain Active Noise Control 45 17  X. Liu X. Li, Q. Z. Zhang, Y. Zhou, and W. S. Gan, “A nonlinear ANC system with a SPSA-based recurrent fuzzy neural network controller,” Lecture Notes in Computer Science, vol. 4491, 2007.
Zhang, Y. Zhou, and W. S. Gan, “A nonlinear ANC system with a SPSA-based recurrent fuzzy neural network controller,” Lecture Notes in Computer Science, vol. 4491, 2007.  Q. Z. Zhang and W. S. Gan, “Active noise control using a simpliﬁed fuzzy neural network,” Journal of Sound and Vibration, vol. 272,(2004), 437-449.  Q. Z. Zhang and W. S. Gan, A model predictive algorithm for active noise control with online secondary path modelling, Journal of Sound and Vibration, vol. 270, (2004), 1056-1066.