Monday, 25 April 2016

CHEBYSHEV FILTER DESIGN

EXPERIMENT NO. 5
In this experiment we designed a digital Chebyshev filters from an analog chebyshev filter.These filters have a steeper roll off and unlike butterworth filters which are monotonic, they have ripples in their stop band or pass band.BLT was used for converting the impulse response in H(s) to H(z). It was noticed that in the output magnitude response, there is a ripple in the pass band with the total number of valleys and peaks equal to order of the filter. Chebyshev filter had a smaller order as compared to Butterworth filter.We also observed that the no of valleys or peaks is equal to the order of the filter.For the same parameters the order of chebyshev filter is less than of butterworth filters.

8 comments:

  1. it is used in RF applications

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  2. Cheby has lower order as it's formula for calculation of order has cos inverse in it as opposed to Butterworth with logarithmic term

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  3. Chebyshev type-I has ripples in pass band, while Chebyshev type-II has ripples in stop band. Type-I is better for practical applications, since it will completely filter out stop band frequencies...

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  4. Cheby1 and Cheby2 can be distinguished by ripples in pass band or stop band.

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  5. is cheby 2 possible by slight modifications in this algo
    ???

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  6. yes it is definitely possible ..we have to introduce a ripple in stop band and make pass band monotonic.

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