The minimal order of rational transfer function realization from its z-domain samples

Autor:	M. N. Prakash, A. T. Fam
Rok vydání:	1985
Předmět:	Finite impulse response Control and Systems Engineering Mathematical analysis Minimal realization Applied mathematics Closed-loop pole Realization (systems) Transfer function Infinite impulse response Digital filter Linear filter Computer Science Applications Mathematics
Zdroj:	International Journal of Control. 42:901-911
ISSN:	1366-5820 0020-7179
DOI:	10.1080/00207178508933403
Popis:	We present here a new method for realization of minimal-order proper rational transfer functions from z-domain samples. A criterion for determining the minimal order of the transfer function is given. The theory is developed first for strictly proper rational transfer functions and then extended to the case of transfer functions with a direct-coupling term. The theory is valid for arbitrary z-domain samples. The special case of uniform frequency response samples is shown to allow a computationally efficient derivation of the realization. Examples are given to illustrate the theory. The theory developed here has many applications, such as modelling of communication channels, identification of systems from frequency measurements and infinite impulse response filter design.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2fbf3ce4edaacdf988470a9173e4ab18 https://doi.org/10.1080/00207178508933403 Zobrazit plný text záznamu