Model complexity reduction using Laguerre filters (original) (raw)

Bilateral decomposition of a time function into laguerre series. Application to LTI system identification

1998

This paper deals with the estimation of linear time invariant (LTI) systems using Laguerrien models. The Laguerre functions used in this paper are presented in their general form, ie using two exponential factors. The main contribution of this paper is the development of an algorithm which performs the decomposition of a signal into Laguerre series for negative as well as positive time domains. These two decompositions are then aggregated to form a unique bilateral expansion.

Laguerre-Based Bandlimited Reduced-Order Modeling

IEEE Transactions on Microwave Theory and Techniques, 2004

... [12] L. Knockaert, “On orthonormal Müntz–Laguerre filters,” IEEE Trans. ... [18] Y. Chahlaoui and P. Van Dooren, “A collection of benchmark exam-ples for model reduction of linear time invariant dynamical systems,” SLICOT, Leuven-Heverlee, Belgium, Working Note 2002-2, Feb. ...