Design and simulation of miniaturized communication systems employing symmetrical lossless two-ports constructed with two kinds of elements

In this paper, a semi-analytic method is presented to describe symmetrical lossless networks with two kinds of elements, namely, distributed and lumped elements in cascade connection. In terms of the independently chosen parameters, element values of the lossless symmetrical networks are given by explicit formulas up to nine elements. It is expected that the results presented in this paper will find immediate usage in performance assessment, design and simulation of analog/digital wireless communication systems placed on MMICs or VLSI chips.