On the Use of Nonsymmetric Lattice Sections in Network Synthesis

This paper considers necessary and sufficient conditions for the canonic realization of a reactance function
Z(s)
in terms of cascaded nonsymmetric LC lattice sections defined in the paper. These conditions are stated in terms of the requirement that if
Z'(s)
is the derivative of
Z(s)
with respect to
s
, then
j\omega^{2} Z'(j\omega) Z'(\omega) = Z (\omega) Z(j\omega)
must have a real positive root
\omega = \omega_0
. Extensions of these conditions to one-port, RLC networks are also considered.