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

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 com...

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Vydáno v:IEEE transactions on electromagnetic compatibility Ročník 57; číslo 6; s. 1698 - 1704
Hlavní autoři: Dikhaminjia, Nana, Rogava, Jemal, Tsiklauri, Mikheil, Zvonkin, Mikhail, Jun Fan, Drewniak, James L.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.12.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
ABCD parameters
Accuracy
Algorithms
Approximation
Approximation algorithms
Approximation methods
Convergence
Electromagnetic compatibility
Estimation
Geometry
Hyperbolic functions
Mathematical analysis
Mathematical models
MATLAB
RLGC parameters
Scattering parameters
sine and cosine hyperbolic functions
transmission lines
Trigonometric functions
scattering parameters
ABCD parameters
MATLAB
sine and cosine hyperbolic functions
transmission lines
RLGC parameters
ISSN:0018-9375, 1558-187X
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Shrnutí: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.
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ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2015.2470176