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261–264, April 19-24, 2009. Akhtar, M. T. & Mitsuhashi, W. (2011). Improving performance of hybrid active noise control systems for uncorrelated narrowband disturbances. IEEE Transactions Audio Speech Language Processing, 2011, (in press). Bao, C. & Sas, P. & Brussel, H. V. (1993a). Comparison of two online identiﬁcation algorithms for active noise control. Proceedings of Recent Advances in Active Control of Sound ˝ Vibration, 1993, pp. 38U-51. Bao, C. & Sas, P. & Brussel, H. V. (1993b). Adaptive active control of noise in 3-D reverberant enclosure.
6. Block diagram of conventional hybrid ANC system with combination of feedforward ANC W (z) and feedback ANC B (z). Thus the reference signal u (n ) comprises two parts; estimates of disturbances d(n ) and v(n ). Since objective of the feedback ANC B (z) is to cancel only uncorrelated primary noise v(n ), the presence of dˆ(n ) (which may be broadband and unpredictable in general) gives a corrupted reference signal for B (z). Thus, both W (z) and B (z) are adapted using inappropriate error signals and may converge slowly.
Using this internally generated reference signal1 , the output g(n ) of feedback ANC B (z) is computed as where g(n ) = b T (n )u (n ). (10) b (n ) = [ b0 (n ), b1 (n ), · · · , b Lb −1 (n )] T (11) is the tap-weight vector for B (z), u (n ) = [ u (n ), u (n − 1), · · · , u (n − L b + 1)] T (12) is the corresponding reference signal vector for u (n ), and L b is the tap-weight length of B (z). Finally the FxLMS algorithm for updating B (z) is given as b (n + 1) = b (n ) + μ b eb (n )uˆ s (n ) (13) where μ b is the step size parameter for B (z), and ﬁltered-reference signal vector uˆ s (n ) = [ uˆ s (n ), uˆ s (n − 1), · · · , uˆ s (n − L b + 1)] T is generated as uˆ s (n ) = sˆ(n ) ∗ u (n ).
Adaptive Filtering Applications by Edited by: Lino Garcia