Frequency Scaling
The prototype filter is scaled to the frequency required with the following transformation:
where ωc' is the value of the frequency parameter (e.g. cut-off frequency) for the prototype and ωc is the desired value. So if ωc' = 1 then the transfer function of the filter is transformed as:
It can readily be seen that to achieve this, the non-resistive components of the filter must be transformed by:
and,
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