On the equivalence of z-domain and s-domain: The inverse of convolution integral and its application to systems identification

Author

Obregón-Pulido, Guillermo ; Nuño, Emmanuel ; De-La-Mora, Alberto

Author_Institution

Electron. Dept., Univ. of Guadalajara (UDG), Guadalajara, Mexico

fYear

2010

fDate

14-17 March 2010

Firstpage

259

Lastpage

262

Abstract

In this work we present an equation that obtains the Laplace transform of a time function from its z-transform. This equation is the integral representation of the inversion of the well know convolution integral, which obtains the z-transform using the Laplace transform. The paper also presents the application of the presented method to obtain the estimation of continuous systems through their discrete time samples.

Keywords

Laplace transforms; Z transforms; continuous systems; convolution; discrete time systems; equivalence classes; Laplace transform; continuous systems; convolution integral; discrete time samples; integral representation; s-domain equivalence; systems identification; time function; z-domain equivalence; z-transform; Continuous time systems; Control system synthesis; Convolution; Frequency domain analysis; Integral equations; Laplace equations; Mathematical model; Signal processing; Signal synthesis; System identification;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Technology (ICIT), 2010 IEEE International Conference on

Conference_Location

Vi a del Mar

Print_ISBN

978-1-4244-5695-6

Electronic_ISBN

978-1-4244-5696-3

Type

conf

DOI

10.1109/ICIT.2010.5472689

Filename

5472689