Title :
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
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;
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
DOI :
10.1109/ICIT.2010.5472689
