In the case of a network with symmetrical image impedances, such as a chain of an even number of identical L sections, the expression reduces to,
32.
Where a port of image impedance " Z " iT faces another " Z " iT, the section is called a ? section.
33.
It should be borne in mind that the characteristics of the filter predicted by the image method are only accurate if the section is terminated with its image impedance.
34.
It should be born in mind that the characteristics of the filter predicted by the image method are only accurate if the section is terminated with its image impedance.
35.
Note that there is no requirement for the filter to be symmetrical internally, only that the end sections have the same image impedance facing into identical terminating impedances.
36.
Another feature of m-type filters that also applies in the general case is that a half section will have the original k-type image impedance on one side only.
37.
However, the image impedance of a half-section of such a filter ( on the shunt side ) is not the same and is designated " Z " i?m.
38.
Rather than enumerate the behaviour ( transfer function, attenuation function, delay function and so on ) of a specific circuit, instead a requirement for the image impedance itself was developed.
39.
In those early days, filter theory was based on image impedance concepts, or image filter theory, which was a design approach developed from the well-established studies of transmission lines.
40.
In this definition, the image impedance of a network is the input impedance of an infinitely long chain of cascaded identical networks ( with the ports arranged so that like impedance faces like ).
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