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Minimum-gyrator synthesis of n-ports

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1 Author(s)

The minimum number of gyrators needed for the synthesis of a general nonbilateraln-port of prescribed scattering matrixShas long been unknown although a lower bound isr/2, whereris the rank (necessarily even) of the skew part ofS, that is, rank(S-S'). The synthesis procedure for losslessn-ports, due to Belevitch, reaches the lower boundr/2. For a generaln-port, however, the best known result isnand is not related tor. This paper shows that a generaln-port is synthesizable withr/2gyrators. A numerical example is given in the Appendix.

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Circuit Theory, IEEE Transactions on  (Volume:19 ,  Issue: 4 )