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Signal estimation for second-order vector difference equations

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2 Author(s)
A. Iskanderani ; University of Michigan, Ann Arbor, MI, USA ; N. McClamroch

This note considers a linear estimation problem for a stochastic process viewed as the output signal of a linear second-order vector difference equation (VDE) driven by a white-noise input. An innovations approach is applied directly to develop the one-stage prediction estimator and associated error covariances. It is shown that the estimator can be expressed as a second-order recursion that preserves the mathematical structure of the given signal model with innovations feedback loops. It is also shown that the innovations can be computed through a first-order recursion in terms of one-stage prediction estimates and the measurements.

Published in:

IEEE Transactions on Automatic Control  (Volume:30 ,  Issue: 8 )