Butterworth filter a)Design a 5th order low pass Butterworth low-pass filter with a cut-off frequency of 1592...

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Electrical Engineering

Butterworth filter
a)Design a 5th order low pass Butterworth low-pass filter with acut-off frequency of 1592 Hz and a dc gain of 3dB. Find and presentthe mathematical transfer function of the filter, showing all yoursteps.
b) Write a Matlab code to plot the magnitude of this functionwith a linear scale in dB units on the ordinate, and a log scale offrequency on the abscissa.
The plot range should be: ordinate- linear scale from -100dB to+10dB; abscissa- log scale from 1000 rads/sec to 100,000radians/sec.

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3.9 Ratings (757 Votes)

QuestionaThe normalized transfer function ofa 5th order Butterworth Low Pass filter with a cut offfrequency of 1 radsec is given asLet K denote the dc gain SoWe need a dc gain of 3 dB So See Answer

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