The L/sup 2/-optimal time-delay rational Laplace model revisited

P. Vilbe (1) , S. Azou (1) , Pascale Bréhonnet (1) , L.C. Calvez (1)

1 LEST - Laboratoire d'Electronique et Systèmes de Télécommunications

An optimization technique is provided for the approximation of the pure time delay. Owing to a near-optimal starting point, the integral square error is reduced through a few iterations of a Gauss-Newton process. Compact implementation and robustness should encourage a large use in various engineering domains.

Mots clés: Delay effects; Least squares approximation; Gaussian processes; Mathematical model; Laplace equations; Robustness; Electronic circuits; Software tools; Transient response; Transient analysis

Domaines: Traitement du signal et de l'image [eess.SP]

P. Vilbe, S. Azou, Pascale Bréhonnet, L.C. Calvez. The L/sup 2/-optimal time-delay rational Laplace model revisited. IEEE Transactions on Circuits and Systems Part 1 Fundamental Theory and Applications, 1999, 46 (4), pp.505 - 512. ⟨10.1109/81.754853⟩. ⟨hal-01508754⟩