Explicit form for impedance of cauer networks

Abstract

In this paper a new procedure is established to obtain in closed form the poles and zeros of the impedance function of a first Cauer Network. The technique involves the continued fraction representation of the corresponding Laplace transform as a rational function whose numerators and denominators can be represented by tridiagonal determinants.

Keywords:

• Continued fractions
• S-fractions
• Eigenvalues and eigenvectors
• Tridiagonal determinants

C.R. Category::

• G 1.3