Signal Propagation in Transmission Lines with Losses Using Fibonacci Wave Functions



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Submitted Sep 14, 2021
Published Oct 6, 2021
10.24018/ejece.2021.5.5.360

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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. S. Hissem, Mamadou Lamine Doumbia, "New Fibonacci Recurrent Systems Applied to Transmission lines Input Impedance and Admittance", IEEE International Conference Advances in Science and Engineering Technology (ASET), March 2019.
     Google Scholar
  2. S. Hissem, Mamadou Lamine Doumbia, "Infinite Spring-Mass Chain Model Using Fibonacci Wave Functions", IEEE International Conference Advances in Science and Engineering Technology (ASET), March 2019.
     Google Scholar
  3. Josha W. Phinney, David J. Perreault and Jeffrey H. Lang, "Synthesis of Lumped Tansmission Line Analogs", 37th IEEE Power Electronics Specialists Conference, June 2006, pp. 2967-2978.
     Google Scholar
  4. Antonije R. Djordjevic, Alenka G. Zajic, Dejan V. Tosic, and Truc Hoang, "A Note on the Modelling Transmission-line Losses", Transactions on microwave theory and technics , Vol. 51, No. 2, pp. 483-486, February 2003.
     Google Scholar
  5. Ana Flavia G. Greco, Joaquim J. Barroso, Jose O. Rossi, "Modelling and Analysis of Ladder-Network Transmission Lines with Capacitive and Inductive Lumped Elements", Journal of Electromagnetic Analysis and Applications, 2013, 5, pp. 213-218.
     Google Scholar
  6. Ana Fl?via G. Greco, Joaquim J. Barroso and Jos? O. Rossi, "Modeling and Analysis of Ladder-Network Transmission Lines with Capacitive and Inductive Lumped Elements", Journal of Electromagnetic Analysis and Applications, 2013, 5, 213-218.
     Google Scholar