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 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.
N. Dikhaminjia et al., "Fast Approximation of Sine and Cosine Hyperbolic Functions for the Calculation of the Transmission Matrix of a Multiconductor Transmission Line," IEEE Transactions on Electromagnetic Compatibility, vol. 57, no. 6, pp. 1698-1704, Institute of Electrical and Electronics Engineers (IEEE), Dec 2015.
The definitive version is available at https://doi.org/10.1109/TEMC.2015.2470176
Electrical and Computer Engineering
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)
Article - Journal
© 2015 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 Dec 2015