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

• Published in: Signal processing Vol. 93; no. 1; pp. 332 - 337
• Main Authors: Telescu, M., Iassamen, N., Cloastre, P., Tanguy, N.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.01.2013; Elsevier
• Subjects: Applied sciences; Detection, estimation, filtering, equalization, prediction; Discrete Laguerre functions; Engineering Sciences; Exact sciences and technology; Information, signal and communications theory; Least square approximation; Micro and nanotechnologies; Microelectronics; Model order reduction; Signal and communications theory; Signal, noise; Telecommunications and information theory; Least square approximation; Discrete Laguerre functions; Model order reduction; Laguerre function; Time series; Laguerre series; Laguerre polynomial; Algorithm; Modeling; Discrete function; Least squares method; Discrete time; Signal processing; System identification; Reduced order model; discrete Laguerre functions; least-squares approximation; model order reduction
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2012.07.006

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.