Relationship between state-space and ARMAV approaches to modal parameter identification

Relationship between state-space and ARMAV approaches to modal parameter identification

In this paper we study the relationship between state-space and autoregressive moving average vector (ARMAV) approaches for the problem of estimating the modal parameters of a vibrating system. Using only the singular value decomposition of the block Hankel matrix of covariances, it is shown that th...

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Veröffentlicht in:Mechanical systems and signal processing 2008-04, Vol.22 (3), p.611-616
1. Verfasser: LARDIES, Joseph
Format: Artikel
Sprache:eng
Schlagworte:
ARMAV model
Companion matrix
Engineering Sciences
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Measurement and testing methods
Mechanics
Physics
Solid mechanics
State matrix
State-space model
Structural and continuum mechanics
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Zusammenfassung:In this paper we study the relationship between state-space and autoregressive moving average vector (ARMAV) approaches for the problem of estimating the modal parameters of a vibrating system. Using only the singular value decomposition of the block Hankel matrix of covariances, it is shown that these two methods give identical modal parameters in the cases where this block Hankel matrix has full row rank.
ISSN:0888-3270
1096-1216
DOI:10.1016/j.ymssp.2007.10.007