6th Experiment
The filter was designed just the way it was discussed in the class. The input parameters were As Ap Pass Band the input parameters As ,Ap pass band frequency and stop band frequency and sampling frequency.The pole zero plot was also drawn and the values of As and Ap were compared from the magnitude spectrum. The poles lie within the unit cirle. The number of ripples representated the order of the filter.
1. In the magnitude response of the Low Pass Filter there were ripples in the pass band whereas the stop band is monotonic and there is no ripple.
2. In the magnitude response of the High Pass, there were ripple in the stop band whereas the response is monotonic in the pass band.
Ripples are observed in magnitude spectrum for higher order
ReplyDeleteRipples correspond to the order of the filter
DeleteFor chebyshev filter the pole zero plot shows that poles lie on an ellipse.
ReplyDeleteFor LPF there is a definite zero at z=-1 while for HPF there is a definite zero at z=1.
ReplyDeleteAs per symmetric or Anti-symmetric h(n)
DeleteFor LPF there is a definite zero at z=-1 while for HPF there is a definite zero at z=1.
ReplyDeletePoles are inside the unit circle thus filters are stable(HPF and LPF)
ReplyDeleteFor same specifications, the order of Chebyshev filter is less than that of Butterworth filter, i.e. the number of poles is less in Chebyshev, thus less number of discrete components are required in Chebyshev filter, hence it is preferred
ReplyDeleteChebyshev has higher roll off than butterworth filter hence the transition band for chebyshev is smaller
ReplyDelete