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               Mapping for Lumped Element Filters

Mapping for Lumped Element Filters

Inductor and capacitor lowpass prototype elements are transformed into the following elements when the passband is mapped from the prototype:

An example is given below. Notice the middle element: while it is a finite transmission zero in the form of an LC-resonator in the lowpass prototype, it transforms into a “fourth-order section” after the bandpass mapping. These sections bring realizability problems so they are usually replaced by two shunt LC-resonators.

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