Numerical Inverse Transformation Methods for Z-Transform

Mathematics

András Mészáros¹  Miklós Telek¹  Illés Horváth² 

[1] Department of Networked Systems and Services, Technical University of Budapest, 1117 Budapest, Hungary;MTA-BME Information Systems Research Group, 1117 Budapest, Hungary;

关键词: inverse Z-transformation;    numerical analysis;    contour integral;    finite order approximation;    matrix geometric distribution;   

DOI  :  10.3390/math8040556

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown