Low-pass to high-pass transformation Assignment Help

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Low-pass to high-pass transformation Provided G(s) as above the transformation s → Ωc/s will change the low-pass G(s) into a high-pass filter H(s) with cut-off frequency of Ωc:

H(sG(s)]s→ Ωc

The critical frequency Wr of the filter G(s) is modified to Ω´c of H(s), given by Ω´c = Ωc/Ωr.

932_Low-pass to high-pass transformation1.png

There are same transformations from low-pass to band-pass and low-pass to band-stop.

The Low-pass prototype analog unit bandwidth filter would be any analog filter such as Butterworth, Chebyshev etc. of any order, any ripple etc.

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