Fast communication: Efficient Gram-matrix computation for irrational resonant systems using Kautz models

Authors:
M. Telescu;N. Tanguy;P. Bréhonnet;P. Vilbé
Affiliations:
LEST-UMR CNRS 6165, Université de Bretagne Occidentale, 6 av. Le Gorgeu C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, 6 av. Le Gorgeu C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, 6 av. Le Gorgeu C.S. 93837, 29238 Brest Cedex 3, France;LEST-UMR CNRS 6165, Université de Bretagne Occidentale, 6 av. Le Gorgeu C.S. 93837, 29238 Brest Cedex 3, France
Venue:
Signal Processing
Year:
2007

Citing 3
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Abstract

We present a new method for evaluating the Gram matrix containing the inner products of repeated integrals and derivatives of irrational transfer functions via a Kautz model. The technique is particularly interesting for describing resonant systems and it has an immediate application in model order reduction.