Symbolic analysis of large-scale microwave networks

A new and efficient method of symbolic analysis of the interconnection of microwave networks which are characterised by the wave-scatter matrices is presented. By taking advantage of unique topological properties of the networks, a rather simplified SFG (referred to as compact SFG (signal flow graph)) is introduced with which the effective symbolic products combination can be determined with great simplicity and clarity so that large-scale microwave networks can be treated. An augmented network principle is also derived so that all the elements of the wave-scatter matrix of the connected network can be obtained in one implementation