Chebyshev I filter has ripples in the passband and no ripple in the stop band. Cheebyshev filter II has ripples in stopband and no ripple in passband.
We designed chebyshev filter using scilab. Plotted the magnitude spectrum and verified the values of As and Ap in stopband and passband. Those values were approximately same. All poles were located inside the unit circle.
The order of the filter was calculated using the given values of attenuation in pass band and stop band, pass band and stop band frequencies and sampling frequency. The normalised and denormalised H(s) was calculated, from which the Transfer Function H(z) was calculated.
We observed and plotted the graphs and learnt that:
1. In the magnitude response of the Low Pass Filter, there is ripple 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 is ripple in the stop band whereas the response is monotonic in the pass band.
https://drive.google.com/drive/folders/0BxILgHTXcwaNYzBfNmlpS2VuWUE
The number of ripples represent the order of the filter.
ReplyDeleteThe number of ripples represent the order of the filter.
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