Problem

The sixth-order Butterworth filter in Problem 1 is used in a system where the cutoff frequ...

The sixth-order Butterworth filter in Problem 1 is used in a system where the cutoff frequency is 25 krad/s.

a) What is the sealed transfer function for the filter?


b) Test your expression by finding the gain (in decibels) at the cutoff frequency.

Problem 1

Derive the prototype transfer function for a sixth-order high-pass Butterworth filter by first writing the transfer function for a sixth-order prototype low-pass Butterworth filter and then replacing s by 1/s in the low-pass expression.

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