Frequency-domain realization of linear time-varying systems by two-dimensional Laplace transformation

Author

Bayan, Nima ; Erfani, Shervin

Author_Institution

Electr. & Comput. Eng. Dept., Univ. of Windsor, Windsor, ON

fYear

2008

fDate

22-25 June 2008

Firstpage

213

Lastpage

216

Abstract

The objective of this paper is to extend application of Laplace-Carson transform (LCT) to the realization of linear time-varying (LTV) systems. We propose using the unilateral and bilateral two-dimensional Laplace transform (2DLT) for realization of LTV systems, which exhibit a circular symmetry. Application of two-dimensional Laplace and Fourier transforms to LTV systems results in a bifrequency realization. In particular, it is shown that the 2DLT of LTV systems is, in fact, a Hankel transform of order zero.

Keywords

Hankel transforms; Laplace transforms; frequency-domain analysis; linear systems; network analysis; time-varying systems; 2D Laplace transformation; Fourier transforms; Hankel transform; Laplace-Carson transform; bifrequency realization; bilateral 2D Laplace transform; circular symmetry; frequency-domain realization; linear time-varying systems; unilateral 2D Laplace transform; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems and TAISA Conference, 2008. NEWCAS-TAISA 2008. 2008 Joint 6th International IEEE Northeast Workshop on

Conference_Location

Montreal, QC

Print_ISBN

978-1-4244-2331-6

Electronic_ISBN

978-1-4244-2332-3

Type

conf

DOI

10.1109/NEWCAS.2008.4606359

Filename

4606359