The connection between the two can further be seen by noting an alternative, but equivalent, definition of image impedance.
22.
The predicted characteristics of the filter are calculated assuming that the filter is terminated with its own image impedances at each end.
23.
An alternative technique to determine the image impedance of port 1 is to measure the short-circuit impedance " Z"
24.
Antimetrical, in this context, means that the filter image impedances and terminations at each end are the dual of each other.
25.
Given that the filter does not contain any resistive elements, the image impedance in the pass band of the filter is purely imaginary.
26.
Because the L section is not symmetrical, it has different image impedances ( \ scriptstyle Z _ \ mathrm i ) on each side.
27.
In the L-circuit example for iterative impedance, the square-rooted term is equal to the image impedance of a half section.
28.
The purpose of the shunt resistors, R 2, is to bring the image impedance of the filter back to the original design R 0.
29.
They are a generalisation of the m-type filter in that a transform is applied that modifies the transfer function while keeping the image impedance unchanged.
30.
Conversely, it is possible to analyse a transmission line with lumped components, such as one utilising loading coils, in terms of an image impedance filter.
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