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Signal Propagation in Nth LC Ladder Network Using Fibonacci Wave Functions

Author

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  • Simon Hissem

    (Université du Québec à Trois-Rivières)

  • Mamadou Lamine Doumbia

    (Université du Québec à Trois-Rivières, Trois-Rivières, Québec, Canada.)

Abstract

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.

Suggested Citation

  • Simon Hissem & Mamadou Lamine Doumbia, 2019. "Signal Propagation in Nth LC Ladder Network Using Fibonacci Wave Functions," European Journal of Electrical Engineering and Computer Science, European Open Science, vol. 3(6), November.
    • Handle: RePEc:epw:ejece0:v:3:y:2019:i:6:id:19155
    DOI: 10.24018/ejece.2019.3.6.155
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