A simple algorithm for stable order reduction of z-domain Laguerre models

Discrete-time Laguerre series are a well known and efficient tool in system identification and modeling. This paper presents a simple solution for stable and accurate order reduction of systems described by a Laguerre model.

► Discrete Laguerre series are useful tools to approximate signals or systems.
► A fast “compression” of the Laguerre model to a low order rational fraction.
► A very simple algorithm based on least squares optimization.
► The reduced models are provably stable.