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1. From Cauer synthesis to Legendre polynomials — The case of the lossless transmission line

Author

Soulier, Fabien, Dollinger, Nicolas, and Lagonotte, Patrick

Abstract

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.

Published
2003
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