My solution for the Filter Design Assignment of the course EE 338: Digital Signal Processing
As a part of this assignment, I had to design 6 different filters based a set of specifications given. The detailed information is available in the report{:target="_blank"}.
These are the following filters that have been designed:
- Bandpass filter using Butterworth design
- Bandstop filter using Chebyshev design
- Bandpass filter using Kaiser window
- Bandstop filter using Kaiser window
- Bandpass filter
- Bandstop filter
After realising the bandpass and bandstop filters for a given set of specifications in various forms, I was able to make the following conclusions:
- Realisation using an elliptic approximation gives the least order, i.e, it
requires mininum resources. The order of resources required is as follows
(for a given set of specifications):
Elliptic (3) < Chebyshev (4) < Butterworth (8) < Kaiser FIR (50-60) - The elliptic filter has the sharpest transition from passband to stopband or
vice versa for the same specifications. In particular, the decreasing order of
transition sharpness is:
Elliptic > Chebyshev > Butterworth > Kaiser FIR - The FIR realisation gives a linear phase response in the passband region.
The nonlinearity of the phase response decreases in the following order:
Elliptic > Chebyshev > Butterworth > Kaiser FIR