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Antimetric electrical network : ウィキペディア英語版 | Antimetric electrical network
An antimetric electrical network is an electrical network that exhibits anti-symmetrical electrical properties. The term is often encountered in filter theory, but it applies to general electrical network analysis. Antimetric is the diametrical opposite of symmetric; it does not merely mean "asymmetric" (i.e., "lacking symmetry"). It is possible for networks to be symmetric or antimetric in their electrical properties without being physically or topologically symmetric or antimetric. ==Definition==
References to symmetry and antimetry of a network usually refer to the input impedances〔input impedance. The input impedance of a port is the impedance measured across that network port with nothing connected to it externally and all other ports terminated with a defined impedance.〕 of a two-port network when correctly terminated.〔"correctly terminated". This will most usually mean termination with the system nominal impedance which, in turn, is usually chosen to equal the nominal characteristic impedance of the system transmission lines. This is the impedance the circuit is expected to be connected to in operation and impedance matching is of some importance in telecommunications. In some design contexts a more theoretical impedance is considered such as image impedance.〕 A symmetric network will have two equal input impedances, ''Z''i1 and ''Z''i2. For an antimetric network, the two impedances must be the dual of each other with respect to some nominal impedance ''R''0. That is,〔Matthaei, Young, Jones, ''Microwave Filters, Impedance-Matching Networks, and Coupling Structures'', pp. 70–72, McGraw-Hill, 1964.〕 : It is necessary for antimetry that the terminating impedances are also the dual of each other, but in many practical cases the two terminating impedances are resistors and are both equal to the nominal impedance ''R''0. Hence, they are both symmetric and antimetric at the same time.〔
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