Orthogonal decomposition of derivatives and antiderivatives for easy evaluation of extended Gram matrix

Mihai Telescu (1) , Pascale Bréhonnet (1) , Noël Tanguy (1) , Pierre Vilbé (1) , Léon-Claude Calvez (1)

1 LEST - Laboratoire d'Electronique et Systèmes de Télécommunications

Simple and efficient algorithms for orthogonal decomposition of derivatives and antiderivatives of a function with rational Laplace transform are proposed. Based on a new theorem related to Routh alpha-beta expansion, they enable direct evaluation of the extended Gram matrix which has proved to be very useful in model-reduction applications.

Mots clés: Orthogonal representation; Gram matrix; Routh algorithm; Model-order reduction

Domaines: Micro et nanotechnologies/Microélectronique

Mihai Telescu, Pascale Bréhonnet, Noël Tanguy, Pierre Vilbé, Léon-Claude Calvez. Orthogonal decomposition of derivatives and antiderivatives for easy evaluation of extended Gram matrix. Signal Processing, 2006, 86 (11), pp.3486-3489. ⟨10.1016/j.sigpro.2006.06.007⟩. ⟨hal-00174253⟩