Signal Propagation in Transmission Lines with Losses Using Fibonacci Wave Functions

Signal Propagation in Transmission Lines with Losses Using Fibonacci Wave Functions



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In this paper, the general model for an infinite LC ladder network using Fibonacci wave functions that were applied to lossless transmission lines will be extended to transmission lines including losses. The general model that was derived from a first order system transfer function representing a simple RC or RL circuit will be used to model and analyze transmission lines presenting losses. The LC ladder network model can be applied to any order for each inductor current with its parasitic rc  resistor and for each capacitor voltage with its parasitic rL  resistor. The extension of the proposed general model to transmission lines with losses is subject to Heaviside condition for both resistors rc  and rL .

Keywords: Fibonacci wave functions, Heaviside, LC ladder, losses, Pascal’s triangle, Transmissions lines
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[1]
Hissem, S. and Doumbia, M.L. 2021. Signal Propagation in Transmission Lines with Losses Using Fibonacci Wave Functions. European Journal of Electrical Engineering and Computer Science. 5, 5 (Oct. 2021), 32–38. DOI:https://doi.org/10.24018/ejece.2021.5.5.360.

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 Simon Hissem
 Google Scholar |   EJECE Journal
 Mamadou Lamine Doumbia
 Google Scholar |   EJECE Journal