The fifth-order Butterworth filter in Problem 15.46 is used ina system where the

Question

The fifth-order Butterworth filter in Problem 15.46 is used ina system where the cutoff frequency is 10krad/s. (a) What is the scaled transfer function for the filter? (b) Test your expression by finding the gain (in decibels) atthe cutoff frequency. The fifth-order Butterworth filter in Problem 15.46 is used ina system where the cutoff frequency is 10krad/s. (a) What is the scaled transfer function for the filter? (b) Test your expression by finding the gain (in decibels) atthe cutoff frequency.

Explanation / Answer

Okay first the Aurthor of this solution dida great job!! Well what happening is sincethe transfer function is H(s) this can be representedin the freq domain by setting s=jw and then put the High pass filter in its standard form . The rest is indeed algebra . take a look at a common HP filter transfer function ? your goal in step 2-3 is to model theButterworth function using the scaling ect to be exactly inthe Standard form of a HP filter and if possiblefind the   3db and mag

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