TY - GEN

T1 - Signal subspace approximation with applications to system identification

AU - Hasan, Mohammed A

AU - Hasan, Ali A.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - In this paper, a novel approach for parameter identification of linear time invariant (LTI) systems using matrix pencils and ESPRIT-type methods is presented. The relations between Hankel matrices formed from the truncated impulse response and the companion matrix of the poles of the system are fully investigated. Specifically, it is shown that, up to a constant Hankel matrix, every Hankel matrix of finite rank is a power of a companion matrix. Thus, the identification of the system poles reduces directly to solving a generalized eigenvalue problem constructed from two shifted Hankel matrices of the impulse response. Next, we derive an ESPRIT method for the system identification problem. The most significant poles are the solution of an eigenvalue problem of a matrix formed from the singular value decomposition of augmented Hankel matrices of the truncated impulse response of the system. This approach can also be applied for system order reduction. Finally, a generalization for system identification of multi-output multi-input linear systems is provided.

AB - In this paper, a novel approach for parameter identification of linear time invariant (LTI) systems using matrix pencils and ESPRIT-type methods is presented. The relations between Hankel matrices formed from the truncated impulse response and the companion matrix of the poles of the system are fully investigated. Specifically, it is shown that, up to a constant Hankel matrix, every Hankel matrix of finite rank is a power of a companion matrix. Thus, the identification of the system poles reduces directly to solving a generalized eigenvalue problem constructed from two shifted Hankel matrices of the impulse response. Next, we derive an ESPRIT method for the system identification problem. The most significant poles are the solution of an eigenvalue problem of a matrix formed from the singular value decomposition of augmented Hankel matrices of the truncated impulse response of the system. This approach can also be applied for system order reduction. Finally, a generalization for system identification of multi-output multi-input linear systems is provided.

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M3 - Conference contribution

AN - SCOPUS:0032644768

SN - 0780354710

T3 - Proceedings - IEEE International Symposium on Circuits and Systems

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - IEEE

T2 - Proceedings of the 1999 IEEE International Symposium on Circuits and Systems, ISCAS '99

Y2 - 30 May 1999 through 2 June 1999

ER -