Properties of FXLMS-based narrowband active noise control with online secondary-path modeling
IEEE Transactions on Signal Processing
Analysis of frequency mismatch in narrowband active noise control
IEEE Transactions on Audio, Speech, and Language Processing
Analysis of online secondary-path modeling with auxiliary noise scaled by residual noise signal
IEEE Transactions on Audio, Speech, and Language Processing
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In the presence of tonal noise generated by periodic noise source like rotating machines, the filtered-X LMS (FXLMS) algorithm is used for active control of such noises. However, the algorithm is derived under the assumption of slow adaptation limit and the exact analysis of the algorithm is restricted to the case of one real sinusoid in the literature. In this paper, for the general case of arbitrary number of sources, the characteristic polynomial of the equivalent linear system describing the FXLMS algorithm is derived and a method for calculating the stability limit is presented. Also, a related new algorithm free from the above assumption, which is nonlinear with respect to the tap weights, is proposed. Simulation results show that in the early stage of adaptation the new algorithm gives faster decay of errors.