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**1 - 1**of**1**### An Order-Recursive Algorithm for Estimating Pole- Zero Models

"... Abstract-This paper deals with the pole-zero estimation of a dis- In this paper, an order-recursive algorithm for the min-crete-time linear system from a measured input-output record. It is imization of (2) is presented which, as its counterpart in shown that the minimization of the squared equation ..."

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Abstract-This paper deals with the pole-zero estimation of a dis- In this paper, an order-recursive algorithm for the min-crete-time linear system from a measured input-output record. It is imization of (2) is presented which, as its counterpart in shown that the minimization of the squared equation error €or a re-cursive (n, n- 1) filter can be implemented by an order-recursive al- r31 for the no input does not construct the Gramian gorithrn using scalar products of records derived from the data. The explicitly. The algorithm is based On general linear vector algorithm is based on the Gram-Schmidt orthogonalization of an in- space considerations involving an intertwined Krylov [6], tertwined Krylov sequence which consists of successively time-shifted [7] sequence and a unitary operator. or circularly time-shifted versions of the input and output records.