Coupling Matrix Synthesis of Nonreciprocal Lossless Two-Port Networks using Gyrators and Inverters

TL;DR

This paper introduces a novel coupling matrix synthesis method for nonreciprocal lossless two-port networks using complex inverters, gyrators, and similarity transformations, simplifying implementation and expanding design options.

Contribution

It presents a new synthesis technique employing complex inverters and transformations to design nonreciprocal networks with simplified components.

Findings

Successfully synthesizes nonreciprocal networks with complex inverters and gyrators.

Transforms complex inverters into real components for practical implementation.

Provides a detailed example demonstrating the synthesis process.

Abstract

A coupling matrix technique is presented for the synthesis of nonreciprocal lossless two-port networks. This technique introduces complex inverters to build the nonreciprocal transversal network corresponding to the nonreciprocal coupling matrix. It subsequently transforms this matrix into canonical topologies through complex similarity transformations. The complex inverters in the final topology are transformed into real inverters and gyrators for implementation simplicity. A second-order example is then given to illustrate the proposed technique. Possible implementations of the gyrators involved in the final design are also discussed.