High Pass Butterworth Filter

Cuthbert Nyack
To derive the transfer function of a high pass Butterworth filter, first derive the transfer function of a corresponding low pass filter and then replace s in the transfer function with 1/s.

In the above applet s is replaced by 1/s in the normalised low pass Butterworth response. The result is a normalised high pass response. Magnitude response is shown in red and pink. phase delay in green and group delay in cyan.

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COPYRIGHT © 2005 Cuthbert Nyack.