This was the experiment of learning and designing Butterworth low pass and high pass filter using Scilab. After understanding Scilab we came to know that there are various functions such as buttmag() for calculating transfer function and order of the filter. Also there are various functions for calculating fft, magnitude response in Scilab.
From this experiment we understood that butterworth filter have flat response and a steep transmission band depending on the order of filter. We designed both analog filter and digital filter and we can see from both the filters whether the filter is stable or not. If analog poles lie on LHS of s-plane so analog is filter is stable. If digital poles lie inside unit circle so didital filter is stable. Also if the magnitude spectrum is monotonic in both pass band as well as stob band i.e. no ripples.
From this experiment we understood that butterworth filter have flat response and a steep transmission band depending on the order of filter. We designed both analog filter and digital filter and we can see from both the filters whether the filter is stable or not. If analog poles lie on LHS of s-plane so analog is filter is stable. If digital poles lie inside unit circle so didital filter is stable. Also if the magnitude spectrum is monotonic in both pass band as well as stob band i.e. no ripples.
Butterworth has no ripples in pass band and stop band
ReplyDeleteYes it's monotonicity in nature.
Delete*monotonic
DeleteButterworth filter is IIR filter
ReplyDeleteYes
DeleteWindowing method and FSM method can be used to design Butterworth Filter
ReplyDeleteNo we can't because Butterworth filter is iir filter and those methods are used to design fir filter
DeleteConceptually good content
ReplyDeleteThanks
DeleteWell written
ReplyDelete