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Frequency transformation
Frequency transformation and bilinear z-transformation are two methods to convert a low pass prototype which has the corner angular frequency at 1 rad/s to another types of analog filter or digital filter respectively as shown in the Table I. Where ωc is the corner angular frequency of the desired low pass (Lp) and high pass (Hp), ωU and ωL are the upper and lower angular frequency of the desired band pass (Bp) and band stop filter (Bs).In the case of Notch filter, w0 is a center frequency and Q is a quality factor.

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