Synthesis of Multiport Networks Using Port Decomposition Technique and its Applications


A systematic approach to synthesize multiport ( N-port) network with desired characteristics, for a given network topology, has been proposed. The heart of the algorithm lies with a unique port decomposition technique introduced here, whereby a reduced 2-port network (2PN) is obtained by short-circuiting the remaining N-2 ports of the initial topology. This reduced network is definitely analyzed in terms of its unknown style parameters and can be compared with the known characteristics to supply a subset of design equations. Iteratively proceeding with this approach, one will obtain the desired synthesis equations for any multiport network, even when there exists no plane of symmetry. Utilizing this algorithm, four theorems pertaining to multiport network synthesis are proposed. The first and second theorems establish the synthesis pointers of an arbitrary-phased rat-race and branch-line sort coupler having unequal (or equal) power division at the output ports, with a ring type topology consisting of arbitrary building blocks. The third theorem deals with the synthesis of a five-port network, and the final one provides the look equations for arbitrary phase distinction coupler involving coupled lines.

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