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Iterative impedance
Iterative impedance is the input impedance of an infinite chain of identical networks. It is related to the image impedance used in filter design, but has a simpler, more straightforward definition.
==Definition==
Iterative impedance is the input impedance of one port of a two-port network when the other port is connected to an infinite chain of identical networks.〔Iyer, p. 340〕 Equivalently, iterative impedance is that impedance that when connected to port 2 of a two-port network is equal to the impedance measured at port 1. This can be seen to be equivalent by considering the infinite chain of identical networks connected to port 2 in the first definition. If the original network is removed then port 1 of the second network will present the same iterative impedance as before since port 2 of the second netork still has an infinite chain of networks connected to it. Thus the whole infinite chain can be replaced with a single lumped impedance equal to the iterative impedance, which is the condition for the second definition.〔Bakshi & Bakshi, pp. 9.4-9.5〕
In general, the iterative impedance of port 1 is not equal to the iterative impedance of port 2. They will be equal if the network is symmetrical, however physically symmetry is not a necessary condition for the impedances to be equal.〔Bird, p. 594〕
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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