Fast Approximation of Sine and Cosine Hyperbolic Functions for the Calculation of the Transmission Matrix of a Multiconductor Transmission Line

Abstract

A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S-parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the approximate solution of sine and cosine hyperbolic complex value matrix functions. The stability of the proposed algorithm is shown and convergence theorem is proved. In the last section, different numerical simulations are made and compared with the already existing algorithm in terms of calculation time given.

Department(s)

Electrical and Computer Engineering

Research Center/Lab(s)

Center for High Performance Computing Research

Second Research Center/Lab

Electromagnetic Compatibility (EMC) Laboratory

Keywords and Phrases

Algorithms; Approximation algorithms; Scattering parameters; Approximate solution; Calculation time; Convergence theorem; Fast approximation; Multi-conductor transmission lines; Recurrent relation; Stable algorithms; Transmission matrix; Hyperbolic functions; ABCD parameters; MATLAB; RLGC parameters; sine and cosine hyperbolic functions

International Standard Serial Number (ISSN)

0018-9375

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Dec 2015

Link to Full Text

Share

 
COinS