Passive closed-form expression of RLCG transmission lines

Author

Tanji, Y. ; Ushida, A. ; Nakhla, M.S.

Author_Institution

Dept. of Reliability-based Inf. Syst. Eng., Kagawa Univ., Takamatsu, Japan

Volume

3

fYear

2002

fDate

2002

Abstract

The closed-form expression of multi-conductor lossy transmission lines is presented. The model is analytically derived from a set of telegrapher´s equations. Previous works for modeling the transmission lines have relied on some approximation procedures, for example, Pade approximation, Krylov subspace method, and so on. Thus, these methods never give the exact poles and residues. In this paper, a macromodel consisting of the exact poles and residues is presented. Further, it is proven that the passivity of the macromodel is preserved.

Keywords

circuit CAD; high-frequency transmission lines; integrated circuit interconnections; integrated circuit modelling; multiconductor transmission lines; poles and zeros; Krylov subspace method; Pade approximation; RLCG transmission lines; analytically derived model; approximation procedures; capacitance; conductance matrices per unit length; exact poles; inductance; macromodel passivity; multi-conductor lossy transmission lines; nonnegative definite symmetric matrices; passive closed-form expressions; residues; resistance; telegrapher equations; transmission line modeling; Closed-form solution; Digital integrated circuits; Equations; Frequency; Integrated circuit interconnections; Multiconductor transmission lines; RLC circuits; Transmission line matrix methods; Transmission line theory; Transmission lines;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2002. ISCAS 2002. IEEE International Symposium on

Print_ISBN

0-7803-7448-7

Type

conf

DOI

10.1109/ISCAS.2002.1010344

Filename

1010344