Waveform relaxation analysis of RLCG transmission lines

Author

Chang, Fung-Yuel

Author_Institution

IBM Gen. Technol. Div., Hopewell Junction, NJ, USA

Volume

37

Issue

11

fYear

1990

fDate

11/1/1990 12:00:00 AM

Firstpage

1394

Lastpage

1415

Abstract

F.H. Branin´s method of characteristics (1967) has been extended for the transient analysis of transmission lines with constant RLCG parameters. It has been further generalized for iterative waveform relaxation analysis. The sequence of waveforms relaxation generated by the iteration process has been identified as the series expansion of the transmission-line response functions. By incorporating the fast Fourier transform in the waveform analysis, a phenomenal two-order reduction of CPU time and one-order savings in computer memory have been achieved. Examples of RLCG lines driven by bipolar logic gates are given to illustrate the advantage of waveform relaxation over the discrete time simulation

Keywords

fast Fourier transforms; iterative methods; transient response; transmission line theory; FFT; RLCG transmission lines; constant RLCG parameters; fast Fourier transform; iteration process; series expansion; transient analysis; transmission-line response functions; waveform relaxation analysis; Analytical models; Circuit simulation; Computational modeling; Computer simulation; Distributed parameter circuits; Electrocardiography; Fast Fourier transforms; Transient analysis; Transmission line theory; Transmission lines;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.62414

Filename

62414