Title :
Two-dimensional Laplace, Hankel, and Mellin transforms of linear time-varying systems
Author :
Erfani, Shervin ; Bayan, Nima
Author_Institution :
Electr. & Comput. Eng. Dept., Univ. of Windsor Windsor, Windsor, ON, Canada
Abstract :
Application of the two-dimensional Laplace transform (2DLT) and some of its properties with regard to linear time-varying (LTV) system representation are investigated. In particular, the 2DLT characterization leads to a bifrequency representation for LTV systems that exhibit circular symmetry. The equivalence of Hankel and Mellin transforms with 2DLT is shown in an algebraic fashion. For ease of exposition the results are presented for the LTV networks only.
Keywords :
Hankel transforms; Laplace transforms; linear systems; time-varying systems; transfer functions; 2DLT; Hankel transform; LTV system; Mellin transform; algebraic fashion; bifrequency representation; circular symmetry; linear time-varying system; transfer function; two-dimensional Laplace transform; Application software; Calculus; Differential equations; Laplace equations; Linear systems; Network synthesis; Signal processing; Time varying systems; Transfer functions; Transforms;
Conference_Titel :
Circuits and Systems, 2009. MWSCAS '09. 52nd IEEE International Midwest Symposium on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-4479-3
Electronic_ISBN :
1548-3746
DOI :
10.1109/MWSCAS.2009.5235888
