## High Pass Corner Frequency Translation

### Changing to a High Pass Corner Frequency

 A change in the corner frequency requires that the impedances of each inductor and capacitor be changed from the prototype's values by a factor equal to the change in frequency. The factor is where fc is the desired corner frequency. This translation is somewhat more complex than the low pass frequency translation. Here each element that was a capacitor in the prototype becomes an inductor and each inductor becomes a capacitor.

### The Translations:

 With multiple translations in store, make the resistance translations first. This is because some of the filters require inductors to translate to capacitors and conversely as does this high pass translation. Some filters require inductors to translate into a resonant circuit and it would be a difficult chore to determine the original prototypical component's nature. To translate from the capacitance values which may have undergone a resistance translation first, perform this mathematical manipulation: where CP is the prototype capacitance and LN is the inductance after the translation. To translate from the inductance values which may have undergone a resistance translation first, perform this mathematical manipulation: where LP is the prototype inductance and CN is the capacitance after the translation.