On synthesis of active distributed RC circuits

This correspondence describes the root locus of an active distributed RC circuit that may be used for the synthesis of the magnitude response of a pair of complex conjugate poles. It is shown that the locus of the dominant poles of the system transfer function is a well-defined parabola. Such characteristics may be used for the realization of the magnitude response of a class of parabolic filters with identical distributed networks. A design table based on the dominant poles of this system transfer function is derived, and a technique for estimating the excess phase due to the presence of the nondominant poles is presented. Q sensitivity to variations in gain as well as the circuit step response is included.