Numerical Inverse Transformation Methods for Z-Transform

Numerical Inverse Transformation Methods for Z-Transform

Numerical inverse Z-transformation (NIZT) methods have been efficiently used in engineering practice for a long time. In this paper, we compare the abilities of the most widely used NIZT methods, and propose a new variant of a classic NIZT method based on contour integral approximation, which is eff...

Full description

Bibliographic Details
Main Authors: Illés Horváth, András Mészáros, Miklós Telek
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
inverse Z-transformation
numerical analysis
contour integral
finite order approximation
matrix geometric distribution
Online Access:https://www.mdpi.com/2227-7390/8/4/556
Description
Summary:Numerical inverse Z-transformation (NIZT) methods have been efficiently used in engineering practice for a long time. In this paper, we compare the abilities of the most widely used NIZT methods, and propose a new variant of a classic NIZT method based on contour integral approximation, which is efficient when the point of interest (at which the value of the function is needed) is smaller than the order of the NIZT method. We also introduce a vastly different NIZT method based on concentrated matrix geometric (CMG) distributions that tackles the limitations of many of the classic methods when the point of interest is larger than the order of the NIZT method.
ISSN:2227-7390

Similar Items