# Loop-shaping techniques applied to the least-mean-squares algorithm

@article{Moir2011LoopshapingTA, title={Loop-shaping techniques applied to the least-mean-squares algorithm}, author={Tom J. Moir}, journal={Signal, Image and Video Processing}, year={2011}, volume={5}, pages={231-243} }

The least-mean-squares (LMS) algorithm is analysed as a feedback control system. It is shown that despite the fact that LMS is a time-variant system that in fact it behaves much as a linear time-invariant (LTI) closed-loop control system. Therefore, it is possible to treat the LMS algorithm as a control system in the classical sense and define properties such as bandwidth to determine how fast a response (and hence convergence) is maximally possible. Similarly, the steady-state error response…

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