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

Mihai Telescu (1) , Noël Tanguy (1) , Pascale Bréhonnet (1) , Pierre Vilbé (1)

1 LEST - Laboratoire d'Electronique et Systèmes de Télécommunications

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.

Mots clés: Gram matrix; Model order reduction; Kautz functions; Resonant systems

Domaines: Micro et nanotechnologies/Microélectronique

Mihai Telescu, Noël Tanguy, Pascale Bréhonnet, Pierre Vilbé. Efficient Gram-matrix computation for irrational resonant systems using Kautz models. Signal Processing, 2007, 87 (12), pp.3234-3240. ⟨10.1016/j.sigpro.2007.06.012⟩. ⟨hal-00174257⟩