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Aldırmaz, “Adaptive fractional Fourier domain filtering,” Signal Processing, vol. 90, no. , 2010), 1188-1196. 46 18 Noise Control, Reduction and Cancellation Solutions Will-be-set-by-IN-TECH in Engineering [34] C. F. Juang and C. T. Lin, “Noisy speech processing by recurrently adaptive fuzzy filters,” IEEE Trans. on Fuzzy Systems, vol. , 2001) 139-152. C. 1. Introduction Generally speaking, the aim of active noise control systems is to control noise at a dominant frequency range and at a specified region in space.

IF estimation requires several times of FrFT algorithm giving rise to extra computational cost to the FrFT-domain adaptation. Finally, the performance of the adaptive fractional Fourier domain LMS-based ANC is tested when the LFM noise signal is embedded into AWGN. , when SNR is 8 dB, the error energy in fractional Fourier domain adaptation scheme is less than 10−1 , whereas if the adaptation is realized in time, the error energy is greater than 1. The fractional Fourier domain adaptation noticeably improves the system performance.

L. Zhou, Q. Z. Zhang, X. D. Li, and W. S. Gan, “Analysis and DSP implementation of an ANC system using a filtered-error neural network,” Journal of Sound and Vibration, vol. 285, (2005), 1-25. [5] S. M. Kuo, S. Mitra, and W. S. Gan, “Active noise control system for headphone applications” IEEE Trans. on Control Syst. , vol. 14, no. , 2006), 331-335. [6] W. S. Gan, R. G. Mitra, and S. M. Kuo,“Adaptive feedback active noise control headset: Implementation, evaluation and its extensions,” IEEE Trans.

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