Next Article in Journal
An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets
Next Article in Special Issue
A Versatile Stochastic Duel Game
Previous Article in Journal
An Evolving Partial Consensus Fuzzy Collaborative Forecasting Approach
Previous Article in Special Issue
A Versatile Queuing System For Sharing Economy Platform Operations
Open AccessArticle

Numerical Inverse Transformation Methods for Z-Transform

1
MTA-BME Information Systems Research Group, 1117 Budapest, Hungary
2
Department of Networked Systems and Services, Technical University of Budapest, 1117 Budapest, Hungary
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 556; https://doi.org/10.3390/math8040556
Received: 12 March 2020 / Revised: 1 April 2020 / Accepted: 3 April 2020 / Published: 10 April 2020
(This article belongs to the Special Issue Queue and Stochastic Models for Operations Research)
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. View Full-Text
Keywords: inverse Z-transformation; numerical analysis; contour integral; finite order approximation; matrix geometric distribution inverse Z-transformation; numerical analysis; contour integral; finite order approximation; matrix geometric distribution
Show Figures

Figure 1

MDPI and ACS Style

Horváth, I.; Mészáros, A.; Telek, M. Numerical Inverse Transformation Methods for Z-Transform. Mathematics 2020, 8, 556.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop