Open AccessSignal Propagation in Nth LC Ladder Network Using Fibonacci Wave Functions
Author(s) -
Simon Hissem,
Mamadou Lamine Doumbia
Publication year - 2019
Publication title -
european journal of electrical engineering and computer science
Language(s) - English
Resource type - Journals
ISSN - 2736-5751
DOI - 10.24018/ejece.2019.3.6.155
Subject(s) - fibonacci number , lossless compression , resistive touchscreen , resistor , physics , voltage , electrical network , mathematics , mathematical analysis , topology (electrical circuits) , electrical engineering , algorithm , quantum mechanics , discrete mathematics , combinatorics , engineering , data compression
In this paper, new general model for an infinite LC ladder network using Fibonacci wave functions (FWF) is introduced. This general model is derived from a first order resistive-capacitive (RC) or resistive-inductive (RL) circuit. The order Fibonacci wave function of an LC ladder denominator and numerator coefficients are determined from Pascal’s triangle new general form. The coefficients follow specific distribution pattern with respect to the golden ratio. The LC ladder network model can be developed to any order for each inductor current or flux and for each capacitor voltage or charge. Based on this new proposed method, nth order FWF general models were created and their signal propagation behaviors were compared with nth order RC and LC electrical circuits modeled with Matlab-Simulink. These models can be used to represent and analyze lossless transmission lines and other applications such as particles interaction behavior in quantum mechanics, sound propagation model.