✦ LIBER ✦

Order reduction of z-transfer functions via multipoint Jordan continued-fraction expansion

✍ Scribed by Ying-Chin Lee; Chyi Hwang; Leang S. Shieh

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 479 KB
Volume: 329
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(92)90056-m

No coin nor oath required. For personal study only.

✦ Synopsis

The order reduction problem of z-transfer functions is solved by usinq the multipoint Jordan continued-fraction expansion (MJCFE) technique. An eficient algorithm thut does not require the use of' complex a(qebra is presented for obtaining an MJCFE from (I stable z-transfer .finction with expansion points selected from the unit circle and/or the positive real axis of the z-plane. The reduced-order models are exactly the multipoint Pude upproximants of'the ori~qinal system and, therefore, they mutch the (weighted) time-moments of the impulse response and preserve the ,frequency responses of the system at some characteristic .frequencies, such as gain crossover frequency, phase crossover frequency, bandwidth, etc.

📜 SIMILAR VOLUMES

Stable simplification of z-transfer func

Stable simplification of z-transfer functions by squared magnitude continued-fraction expansion

✍ Chyi Hwang; Chen-Chin Suen 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 525 KB

A ,full computer-oriented procedure is presented for sirnplijying the rational ztransfer function of a stable and minimum-phase discrete-time system. The simpltjication is based on truncating the u-domain (where u = z + z -') squared magnitude continued-jraction expansion and using the factorization