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Extra resources for Adaptive Filtering Applications
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X (n ), and the B (z) is excited by an internally generated reference signal u (n ). Both ANC ﬁlters W (z) and B (z) are adapted by FxLMS algorithms. The residual error signal eo (n ) is given in Eq. (41) and as explained earlier, the ﬁrst term is desired error signal for the adaptation of W (z) and second term is desired error signal for B (z). To achieve cancellation [ideally eo (n ) = 0], W (z) needs to be excited by the input correlated with d(n ) [the reference signal x (n ) is indeed that input], and B (z) needs to be excited by the input correlated with v(n ) [such input is not available directly and needs to be generated internally].