Loop-shaping techniques applied to the least-mean-squares algorithm |
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Authors: | T J Moir |
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Affiliation: | 1. School of Engineering and Advanced Technology, Massey University at Albany, Auckland, New Zealand
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Abstract: | 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
to a deterministic noise-free input can also be calculated. Moreover, it is then shown that classical control-based loop-shaping
techniques can be used to improve the performance of the algorithm. |
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