This paper takes into consideration a number of different ladder networks showing links with the so-called Golden Ratio φ = 1.6180339⋯ , which is embedded into the Fibonacci sequence. Discreteness and periodicity in electronic ladder networks seem to appear as the main features able to include Fibonacci numbers. For instance, in the telecommunication environment, transmission lines can be studied with a given approximation by simplified discrete ladder networks made by a sequence of passive identical cells, such as R-R; R-C; R-L; C-R; L-R; L-C; C-L; directly and electrically coupled each other. In this context, the so called Golden Ratio frequently appears in particular conditions, without a specific reason, at least to our best knowledge, and its presence, so far, still does represent a sort of mystery. © 2014 IEEE.

D'Amico, A., Falconi, C., Bertsch, M., Ferri, G., Lojacono, R., Mazzotta, M., et al. (2014). The presence of the Fibonacci numbers in passive ladder networks: The case of forbidden bands. IEEE ANTENNAS & PROPAGATION MAGAZINE, 56(5), 275-287 [10.1109/MAP.2014.6971968].

The presence of the Fibonacci numbers in passive ladder networks: The case of forbidden bands

D'AMICO, ARNALDO;FALCONI, CHRISTIAN;BERTSCH, MICHIEL;LOJACONO, ROBERTO;
2014

Abstract

This paper takes into consideration a number of different ladder networks showing links with the so-called Golden Ratio φ = 1.6180339⋯ , which is embedded into the Fibonacci sequence. Discreteness and periodicity in electronic ladder networks seem to appear as the main features able to include Fibonacci numbers. For instance, in the telecommunication environment, transmission lines can be studied with a given approximation by simplified discrete ladder networks made by a sequence of passive identical cells, such as R-R; R-C; R-L; C-R; L-R; L-C; C-L; directly and electrically coupled each other. In this context, the so called Golden Ratio frequently appears in particular conditions, without a specific reason, at least to our best knowledge, and its presence, so far, still does represent a sort of mystery. © 2014 IEEE.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/01 - Elettronica
Settore MAT/05
English
Con Impact Factor ISI
Gold; Ladder networks; Number theory, Fibonacci numbers; Fibonacci sequences; Forbidden band; Golden ratio; Particular condition, Ladders
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D'Amico, A., Falconi, C., Bertsch, M., Ferri, G., Lojacono, R., Mazzotta, M., et al. (2014). The presence of the Fibonacci numbers in passive ladder networks: The case of forbidden bands. IEEE ANTENNAS & PROPAGATION MAGAZINE, 56(5), 275-287 [10.1109/MAP.2014.6971968].
D'Amico, A; Falconi, C; Bertsch, M; Ferri, G; Lojacono, R; Mazzotta, M; Santonico, M; Pennazza, G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/120955
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