The butterworth filter design was done for Low Pass and High Pass. It was done with specific input parameters like As, Ap , Pass Band frequency, Stop Band Frequency and Sampling frequency. H(z) for each were calculated and so was the order of the filter. The theoretical and observed values were compared. Maginitude spectrum and pole zero plot was drawn and it was observed that butterworth filters are monotonic in its pass band and stop band.
It was noticed that the magnitude response smooth in both pass band and stop band. With higher order, the magnitude response became sharoer and started resembling the ideal filter more closely.
http://preranasarode1995.blogspot.com/2016/04/butterworth-filter-design.html
https://drive.google.com/open?id=0B8F3pY6H1pIWanN3aHlQbGlCRWM
https://drive.google.com/open?id=0B8F3pY6H1pIWMGliNXcxd1NtWnM
It was noticed that the magnitude response smooth in both pass band and stop band. With higher order, the magnitude response became sharoer and started resembling the ideal filter more closely.
http://preranasarode1995.blogspot.com/2016/04/butterworth-filter-design.html
https://drive.google.com/open?id=0B8F3pY6H1pIWanN3aHlQbGlCRWM
https://drive.google.com/open?id=0B8F3pY6H1pIWMGliNXcxd1NtWnM
You can experiment further by designed other types of filters like band pass filters
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ReplyDeletehigher order is observed for same input specifications of butterworth compared to chebyshev
ReplyDeletewe get monotonic spectrum in butterworth filter
ReplyDeleteCompared with a Chebyshev Type I/Type II filter or an elliptic filter, the Butterworth filter has a slower roll-off, and thus will require a higher order to implement a particular stopband specification.
ReplyDeleteHowever the trade off is that there are ripples in pass band of Chebyshev 1.
ReplyDelete