From Cauer synthesis to Legendre polynomials — The case of the lossless transmission line
| Autor: | Patrick Lagonotte, Fabien Soulier, Nicolas Dollinger |
|---|---|
| Přispěvatelé: | Laboratoire d'études thermiques (LET), Centre National de la Recherche Scientifique (CNRS)-Ecole Nationale Supérieure de Mécanique et d'Aérotechnique [Poitiers] (ISAE-ENSMA)-Université de Poitiers, PSA Peugeot - Citroën (PSA), PSA Peugeot Citroën (PSA) |
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Lossless compression
Partial differential equation Mathematical analysis [SPI.NRJ]Engineering Sciences [physics]/Electric power Input impedance Expression (mathematics) [SPI]Engineering Sciences [physics] Transmission line Simple (abstract algebra) Applied mathematics Legendre polynomials Impulse response ComputingMilieux_MISCELLANEOUS Mathematics |
| Zdroj: | 4th IFAC Workshop on Time Delay Systems (TDS 2003) 4th IFAC Workshop on Time Delay Systems (TDS 2003), Sep 2003, Rocquencourt, France. pp.391-396, ⟨10.1016/S1474-6670(17)33358-X⟩ |
| DOI: | 10.1016/S1474-6670(17)33358-X⟩ |
| Popis: | In this article, we study a simple Time Delay System (TDS), the short-circuited lossless transmission line. By realizing the Cauer synthesis of the input impedance, we can put in evidence a special expression of the impulse response of this system. Furthermore, we illustrate on this example a particular link between the Cauer synthesis of infinite order systems and the Legendre polynomials. |
| Databáze: | OpenAIRE |
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