NLMS Noise cancellation
no vote
Acoustic Noise Cancellation. The adaptive filtering algorithms whose derivations are based on the Wiener filter theoryhave their origin in a statistical formulation of the problem. In contrast to this, the methodof least-squares approaches the problem of filter optimization from a deterministic pointof view. As mentioned before, in the Wiener filter theory, the desired filter is obtained byminimizing the MSE, that is, a statistical quantity. In the method of least-squares, on theother hand, the performance index is the sum of weighted error squares for the given data,that is, a deterministic quantity. A consequence of this deterministic approach is that the least-squares-basedalgorithms, in general, converge much faster than the LMS-based algorithms. They arealso insensitive to the power spectral density of the input signal. The price that is paidfor achieving this improved convergence performance is higher computational complexityand poorer numerical stability.