Normalised Least Mean Squares Filter (NLMS)
The main drawback of the "pure" LMS algorithm is that it is sensitive to the scaling of its input . This makes it very hard (if not impossible) to choose a learning rate that guarantees stability of the algorithm (Haykin 2002). The Normalised least mean squares filter (NLMS) is a variant of the LMS algorithm that solves this problem by normalising with the power of the input. The NLMS algorithm can be summarised as:
| Parameters: | filter order |
| step size | |
| Initialization: | |
| Computation: | For |
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