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An algorithm for unit-norm equation error system identification based on the method of multipliers

It is known that the unit-norm constraint for equation-error based system identification is superior to the monic constraint since it produces consistent estimates for white measurement noise and also presents better approximation properties in reduced-order cases. Here, a new algorithm for unit-nor...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2003-12, Vol.51 (12), p.3080-3085
Main Author: Lopez-Valcarce, R.
Format: Article
Language:English
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Summary:It is known that the unit-norm constraint for equation-error based system identification is superior to the monic constraint since it produces consistent estimates for white measurement noise and also presents better approximation properties in reduced-order cases. Here, a new algorithm for unit-norm equation-error adaptive filtering is proposed. This scheme is inspired by the constrained optimization technique known as the method of multipliers. An analysis of stationary points and mean convergence properties is developed.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2003.819012